# School of Mathematics

## Prof Daniel Lesnic

Professor in Applied Mathematics

Applied Mathematics

### Contact details

Room: 8.13

Tel: +44 (0)113 3435181

Email: D.Lesnic @ leeds.ac.uk

### Keywords

Industrial Mathematics

Computational Fluid Dynamics

Heat and Mass Transfer and Porous Media

Critical Stokes number

Method of fundamental solutions

Boundary element method

Inverse Problems

Fluid Mechanics

## Research interests

INVERSE PROBLEMS

Whilst direct formulations consist of determining the effect of a given cause, in inverse formulations the situation is completely, or partially reversed. The interest is into the research of inverse problems for partial differential equations governing phenomena in fluid flow, elasticity, acoustics, heat transfer, mechanics of aerosols, etc. Typical practical applications relate to flows in porous media, heat conduction in materials, thermal barrier coatings, heat exchangers, corrosion, etc. The objectives are to investigate the existence, uniqueness and stability of the solution to the problem that mathematically models a physical phenomenon under investigation, and to develop new convergent, stable and robust algorithms for obtaining the desired solution. The analyses concern inverse boundary value problems, inverse initial value problems, parameter identification, inverse geometry and source determination problems.

BOUNDARY ELEMENT METHODS

The Boundary Element Method (BEM) is attractive mainly due to the possibility of reducing the dimensionality of a boundary value problem described by linear partial differential equations. To be successful in the reduction of dimensionality it is needed to have the fundamental solution of the original partial differential equations available in an analytical or simple form. If this is not the case then of much interest is the development and computational implementation of recent BEMs such as the dual reciprocity, multiple reciprocity, analogous element, contour point, fundamental solutions and meshless methods for solving both direct and inverse problems of mathematical physics.

### Useful links

Publications by Professor Daniel Lesnic

British Inverse Problems Society

The Ninth International Conference on Inverse Problems: Modelling and Simulation

The Eurasian Association on Inverse Problems (EAIP)

## Current postgraduate students

Kai Cao (2015)

Mousa Huntul (2016)

## Publications

**Tuan NH, Nguyen DV, Au VV, Lesnic D** Recovering the initial distribution for strongly damped wave equation *Applied Mathematics Letters*, **73**, 69-77, 2017

DOI:10.1016/j.aml.2017.04.014

View abstract

**Karageorghis A, Lesnic D, Marin L** The MFS for the identification of a sound-soft interior acoustic
scatterer *Engineering Analysis with Boundary Elements*, **83**, 107-112, 2017

DOI:10.1016/j.enganabound.2017.07.021

View abstract

**Lorinczi P, Burns AD, Lesnic D, Fisher QJ, Crook AJ, Grattoni C, Rybalcenko K** Modelling of gas flow in shale using a finite volume method *Applied Mathematical Modelling*, **49**, 394-414, 2017

DOI:10.1016/j.apm.2017.05.009

View abstract

**Huntul MJ, Lesnic D** An inverse problem of finding the time-dependent thermal conductivity from boundary data *International Communications in Heat and Mass Transfer*, **85**, 147-154, 2017

DOI:10.1016/j.icheatmasstransfer.2017.05.009

View abstract

**Huntul MJ, Lesnic D, Hussein MS** Reconstruction of time-dependent coefficients from heat moments *Applied Mathematics and Computation*, **301**, 233-253, 2017

DOI:10.1016/j.amc.2016.12.028

View abstract

**Marin L, Karageorghis A, Lesnic D, Johansson BT** The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data *Inverse Problems in Science and Engineering*, **25**, 652-673, 2017

DOI:10.1080/17415977.2016.1191072

View abstract

**Bin-Mohsin B, Lesnic D** Reconstruction of a source domain from boundary measurements *Applied Mathematical Modelling*, **45**, 925-939, 2017

DOI:10.1016/j.apm.2017.01.021

View abstract

**Hussein MS, Lesnic D, Ivanchov MI** Identification of a heterogeneous orthotropic conductivity in a rectangular domain *International Journal of Novel Ideas:Mathematics*, **1**, 2017

View abstract

**Tuan NH, Au VV, Khoa VA, Lesnic D** Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction *Inverse Problems*, **33**, 2017

DOI:10.1088/1361-6420/aa635f

View abstract

**Cao K, Lesnic D** Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method *International Journal of Computer Mathematics*, 1-18, 2017

DOI:10.1080/00207160.2017.1296955

View abstract

**Hussein SO, Lesnic D, Yamamoto M** Reconstruction of space-dependent potential and/or damping coefficients in the wave equation *Computers and Mathematics with Applications*, 2017

DOI:10.1016/j.camwa.2017.06.030

View abstract

**Hazanee A, Lesnic D** Reconstruction of multiplicative space- and time-dependent sources *Inverse Problems in Science and Engineering*, **24**, 1528-1549, 2016

DOI:10.1080/17415977.2015.1130041

View abstract

**Lesnic D, Hussein SO, Johansson BT** Inverse space-dependent force problems for the wave equation *Journal of Computational and Applied Mathematics*, **306**, 10-39, 2016

DOI:10.1016/j.cam.2016.03.034

View abstract

**Hussein MS, Lesnic D** Simultaneous determination of time-dependent coefficients and heat source *International Journal of Computational Methods in Engineering Science and Mechanics*, **17**, 401-411, 2016

DOI:10.1080/15502287.2016.1231241

View abstract

**Hussein MS, Kinash N, Lesnic D, Ivanchov M** Retrieving the time-dependent thermal conductivity of an orthotropic rectangular conductor *Applicable Analysis*, 1-15, 2016

DOI:10.1080/00036811.2016.1232401

View abstract

**Flouri D, Lesnic D, Sourbron S** Fitting the two-compartment model in DCE-MRI by linear inversion *Magnetic Resonance in Medicine*, **76**, 998-1006, 2016

DOI:10.1002/mrm.25991

View abstract

**Marin L, Karageorghis A, Lesnic D** Regularized MFS solution of inverse boundary value problems in three-dimensional steady-state linear thermoelasticity *International Journal of Solids and Structures*, **91**, 127-142, 2016

DOI:10.1016/j.ijsolstr.2016.03.013

View abstract

**Grabski JK, Lesnic D, Johansson BT** Identification of a time-dependent bio-heat blood perfusion coefficient *International Communications in Heat and Mass Transfer*, **75**, 218-222, 2016

DOI:10.1016/j.icheatmasstransfer.2015.12.028

View abstract

**Dyhoum TE, Aykroyd RG, Lesnic D** Reconstructing rigid inclusions in the complete-electrode model of ERT In *Inverse Problems and Computational Mechanics (eds. L. Marin, L. Munteanu and V. Chiroiu), The Publishing House of the Romanian Academy, Bucharest, Romania.*, **2**, 73-102, 2016

**Andreev VB, Banks HT, Dulikravich GS, Hofmann B, Kabanikhin SI, Kuchuk FJ, Lesnic D, Nashed MZ, Neubauer A, Romanov VG, Slodicka M, Vasin VV, Yagola AG, Zirilli F** In celebration of the 60th birthday of Professor Alemdar Hasanoglu (Hasanov) *Journal of Inverse and Ill-Posed Problems*, **24**, 109-110, 2016

DOI:10.1515/jiip-2016-5002

**Taun NH, Binh TT, Viet TQ, Lesnic D** On the Cauchy problem for semilinear elliptic equations *Journal of Inverse and Ill-Posed Problems*, **24**, 123-138, 2016

DOI:10.1515/jiip-2015-0059

View abstract

**Karageorghis A, Lesnic D, Marin L** The method of fundamental solutions for three-dimensional inverse geometric elasticity problems *Computers and Structures*, **166**, 51-59, 2016

DOI:10.1016/j.compstruc.2016.01.010

View abstract

**Hussein MS, Lesnic D** Simultaneous determination of time and space-dependent coefficients in a parabolic equation *Communications in Nonlinear Science and Numerical Simulation*, **33**, 194-217, 2016

DOI:10.1016/j.cnsns.2015.09.008

View abstract

**Hussein MS, Lesnic D, Ismailov MI** An inverse problem of finding the time-dependent diffusion coefficient from an integral condition *Mathematical Methods in the Applied Sciences*, **39**, 963-980, 2016

DOI:10.1002/mma.3482

View abstract

**Hussein SO, Lesnic D** Determination of forcing functions in the wave equation. Part I: the space-dependent case *Journal of Engineering Mathematics*, **96**, 115-133, 2016

DOI:10.1007/s10665-015-9785-y

View abstract

**Hussein SO, Lesnic D** Determination of forcing functions in the wave equation. Part II: the time-dependent case *Journal of Engineering Mathematics*, **96**, 135-153, 2016

DOI:10.1007/s10665-015-9786-x

View abstract

**Bin-Mohsin B, Lesnic D** Meshless reconstruction of the support of a source In *Advances in Boundary Element&Meshless Techniques XVII*, 23-28, 2016

**Tuan NH, Thang LD, Lesnic D** A new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear source *Journal of Mathematical Analysis and Applications*, **434**, 1376-1393, 2016

DOI:10.1016/j.jmaa.2015.09.085

View abstract

**Hussein MS, Lesnic D, Ivanchov MI, Snitko HA** Multiple time-dependent coefficient identification thermal problems with a free boundary *Applied Numerical Mathematics*, **99**, 24-50, 2016

DOI:10.1016/j.apnum.2015.09.001

View abstract

**Hazanee A, Lesnic D, Ismailov MI, Kerimov NB** An inverse time-dependent source problem for the heat equation with a non-classical boundary condition *Applied Mathematical Modelling*, **39**, 6258-6272, 2015

DOI:10.1016/j.apm.2015.01.058

View abstract

**de Faria JR, Lesnic D** Topological Bayesian inversion for the inverse conductivity problem *Proceeding Series of the Brazilian Society of Computational and Applied Mathematics*, **3**, 010449-1-010449-7, 2015

DOI:10.5540/03.2015.003.01.0449

View abstract

**Hào DN, Huong BV, Thanh PX, Lesnic D** Identification of nonlinear heat transfer laws from boundary observations *Applicable Analysis*, **94**, 1784-1799, 2015

DOI:10.1080/00036811.2014.948425

View abstract

**Hussein MS, Lesnic D** Identification of the time-dependent conductivity of an inhomogeneous diffusive material *Applied Mathematics and Computation*, **269**, 35-58, 2015

DOI:10.1016/j.amc.2015.07.039

View abstract

**Karageorghis A, Lesnic D, Marin L** The method of fundamental solutions for solving direct and inverse Signorini problems *Computers and Structures*, **151**, 11-19, 2015

DOI:10.1016/j.compstruc.2015.01.002

View abstract

**Hào DN, Thanh PX, Lesnic D** Determination of the ambient temperature in transient heat conduction *IMA Journal of Applied Mathematics*, **80**, 24-46, 2015

DOI:10.1093/imamat/hxt012

View abstract

**Karageorghis A, Bin-Mohsin B, Lesnic D, Marin L** Simultaneous numerical determination of a corroded boundary and its admittance *Inverse Problems in Science and Engineering*, **23**, 1120-1137, 2015

DOI:10.1080/17415977.2014.969728

View abstract

**Hussein MS; Lesnic D ** Determination of the time-dependent thermal conductivity in the heat equation with spacewise dependent heat capacity. 9045, 217-224 2015

DOI:10.1007/978-3-319-20239-6_22

View abstract

**Hazanee A, Lesnic D** The boundary element method for an inverse time-dependent source problem for the heat equation with a non-classical boundary condition In *Proceedings of the 10th UK Conference on Boundary Integral Methods*, 28-35, 2015

**Bin-Mohsin B, Lesnic D** Reconstruction of a source domain for the Poisson equation In *Proceedings of the 10th UK Conference on Boundary Integral Methods*, 169-178, 2015

View abstract

**Marin L, Karageorghis A, Lesnic D** A numerical study of the SVD-MFS solution of inverse boundary value problems in two-dimensional steady-state linear thermoelasticity *Numerical Methods for Partial Differential Equations*, **31**, 168-201, 2015

DOI:10.1002/num.21898

View abstract

**Lesnic D, Ivanchov M** Determination of the time-dependent perfusion coefficient in the bio-heat equation *Applied Mathematics Letters*, **39**, 96-100, 2015

DOI:10.1016/j.aml.2014.08.020

View abstract

**de Faria JR, Lesnic D** Topological derivative for the inverse conductivity problem: a Bayesian approach *Journal of Scientific Computing*, **63**, 256-278, 2015

DOI:10.1007/s10915-014-9891-4

View abstract

**Karageorghis A, Bin-Mohsin B, Lesnic D, Marin L** Simultaneous numerical determination of a corroded boundary and its admittance *Inverse Problems in Science and Engineering*, **23**, 1120-1137, 2014

DOI:10.1080/17415977.2014.969728

View abstract

**Dawson M, Borman D, Hammond RB, Lesnic D, Rhodes D** Moving boundary models for the growth of crystalline deposits from undetected leakages of industrial process liquors *Computers and Chemical Engineering*, **71**, 331-346, 2014

DOI:10.1016/j.compchemeng.2014.08.011

View abstract

**Hào DN, Thanh PX, Lesnic D, Ivanchov M** Determination of a source in the heat equation from integral observations *Journal of Computational and Applied Mathematics*, **264**, 82-98, 2014

DOI:10.1016/j.cam.2014.01.005

View abstract

**Karageorghis A, Lesnic D, Marin L** The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity *Computers and Structures*, **135**, 32-39, 2014

DOI:10.1016/j.compstruc.2014.01.007

View abstract

**Hussein MS, Lesnic D** Determination of a time-dependent thermal diffusivity and free boundary in heat conduction *International Communications in Heat and Mass Transfer*, **53**, 154-163, 2014

DOI:10.1016/j.icheatmasstransfer.2014.02.027

View abstract

**Karageorghis A, Lesnic D, Marin L** Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems *Inverse Problems in Science and Engineering*, **22**, 395-418, 2014

DOI:10.1080/17415977.2013.788172

View abstract

**Hussein MS, Lesnic D, Ivanchov MI** Simultaneous determination of time-dependent coefficients in the heat equation *Computers and Mathematics with Applications*, **67**, 1065-1091, 2014

DOI:10.1016/j.camwa.2014.01.004

View abstract

**Lorinczi P, Burns AD, Lesnic D, Fisher QJ, Crook AJ, Grattoni C, Rybalcenko K** Direct and inverse methods for determining gas flow properties of shale *Society of Petroleum Engineers*, 1-26, 2014

DOI:10.2118/167750-MS

View abstract

**Dawson M; Borman D; Hammond R; Lesnic D; Rhodes D ** *Modelling the morphology of crystalline deposits evolving from impinging droplets of salt solution*9th South African Conference on Computational and Applied Mechanics, SACAM 2014 2014

View abstract

**Johansson BT, Lesnic D, Reeve T** A meshless method for an inverse two-phase one-dimensional nonlinear Stefan problem *Mathematics and Computers in Simulation*, **101**, 61-77, 2014

DOI:10.1016/j.matcom.2014.03.004

View abstract

**Johansson BT, Lesnic D, Reeve T** The method of fundamental solutions for the two-dimensional inverse Stefan problem *Inverse Problems in Science and Engineering*, **22**, 112-129, 2014

DOI:10.1080/17415977.2013.827180

View abstract

**Bin-Mohsin B, Lesnic D** Numerical reconstruction of an inhomogeneity in an elliptic equation *Inverse Problems in Science and Engineering*, **22**, 184-198, 2014

DOI:10.1080/17415977.2013.823419

View abstract

**Lorinczi P, Burns AD, Lesnic D, Fisher QJ, Crook AJ, Grattoni C, Rybalcenko K** Finite volume method for modelling gas flow in shale In *ECMOR XIV - 14th European Conference on the Mathematics of Oil Recovery*, 1-13, 2014

DOI:10.3997/2214-4609.20141795

View abstract

**Karageorghis A, Lesnic D, Marin L** A moving pseudo-boundary MFS for void detection in two-dimensional thermoelasticity *International Journal of Mechanical Sciences*, **88**, 276-288, 2014

DOI:10.1016/j.ijmecsci.2014.05.015

View abstract

**Hazanee A, Lesnic D** Determination of a time-dependent coefficient in the bioheat equation *International Journal of Mechanical Sciences*, **88**, 259-266, 2014

DOI:10.1016/j.ijmecsci.2014.05.017

View abstract

**Dyhoum TE, Lesnic D, Aykroyd RG** Solving the complete-electrode direct model of ERT using the boundary element method and the method of fundamental solutions *Electronic Journal of Boundary Elements*, **12**, 26-71, 2014

**Hussein SO, Lesnic D** Determination of a space-dependent force function in the one-dimensional wave equation *Electronic Journal of Boundary Elements*, **12**, 1-26, 2014

**Hussein SO, Lesnic D** Inverse force problems for the wave equation In *Proceedings of the Inverse Problems - from Theory to Applications Conference (IPTA2014)*, 108-112, 2014

**Reis LAD, Orlande HRB, Lesnic D** A comparison of the iterative regularization technique and of the Markov chain Monte Carlo method: Estimation of the source term in a three-dimensional heat conduction problem In *Blucher Mechanical Engineering Proceedings, (10th World Congress on Computational Mechanics, 8-13 July 2012)*, **1**, 2375-2393, 2014

**Hazanee A, Lesnic D** A time-dependent coefficient identification problem for the bioheat equation In *ICIPE2014 8th International Conference on Inverse Problems in Engineering*, 127-136, 2014

**Hasanoglu A; Banks HT; Kabanikhin SI; Lesnic D; Louis AK eds. ** *Abstracts of the Seventh International Conference "Inverse Problems: Modeling and Simulation"* 2014

**Hasanov A, Lesnic D** Foreword to the Special Issue - Proceedings of the 6th International Conference "Inverse Problems: Modeling and Simulation" *Inverse Problems in Science and Engineering*, **22**, 1-1, 2014

**Erdem A, Lesnic D, Hasanov A** Identification of a spacewise dependent heat source *Applied Mathematical Modelling*, **37**, 10231-10244, 2013

DOI:10.1016/j.apm.2013.06.006

View abstract

**Hazanee A, Lesnic D** Reconstruction of an additive space- and time-dependent heat source *European Journal of Computational Mechanics/Revue Européenne de Mécanique Numérique*, **22**, 304-329, 2013

View abstract

**Hussein MS, Lesnic D, Ivanchov M** Free boundary determination in nonlinear diffusion *East Asian Journal on Applied Mathematics*, **3**, 295-310, 2013

DOI:10.4208/eajam.100913.061113a

View abstract

**Karageorghis A, Lesnic D, Marin L** A moving pseudo-boundary MFS for three-dimensional void detection *Advances in Applied Mathematics and Mechanics*, **5**, 510-527, 2013

DOI:10.4208/aamm.13-13S07

View abstract

**Hazanee A, Lesnic D** Determination of a time-dependent heat source from nonlocal boundary conditions *Engineering Analysis with Boundary Elements*, **37**, 936-956, 2013

DOI:10.1016/j.enganabound.2013.03.003

View abstract

**Karageorghis A, Lesnic D, Marin L** A moving pseudo-boundary method of fundamental solutions for void detection *Numerical Methods for Partial Differential Equations*, **29**, 935-960, 2013

DOI:10.1002/num.21739

View abstract

**Hazanee A, Ismailov MI, Lesnic D, Kerimov NB** An inverse time-dependent source problem for the heat equation *Applied Numerical Mathematics*, **69**, 13-33, 2013

DOI:10.1016/j.apnum.2013.02.004

View abstract

**Lesnic D, Yousefi SA, Ivanchov M** Determination of a time-dependent diffusivity from nonlocal conditions *Journal of Applied Mathematics and Computing*, **41**, 301-320, 2013

DOI:10.1007/s12190-012-0606-4

View abstract

**Johansson BT, Lesnic D, Reeve T** A meshless method for an inverse two-phase one-dimensional linear Stefan problem *Inverse Problems in Science and Engineering*, **21**, 17-33, 2013

DOI:10.1080/17415977.2012.665906

View abstract

**Alsoy-Akgun N, Lesnic D** A numerical solution for an inverse natural magneto-convection problem *Numerical Heat Transfer, Part B: Fundamentals*, **63**, 115-138, 2013

DOI:10.1080/10407790.2013.740978

View abstract

**Dawson M, Borman DJ, Hammond RB, Lesnic D, Rhodes D** A meshless method for solving a two-dimensional transient inverse geometric problem *International Journal of Numerical Methods for Heat and Fluid Flow*, **23**, 790-817, 2013

**Aykroyd RG, Lesnic D, Karageorghis A** A Bayesian approach for shape estimation of objects In *4th Inverse Problems, Design and Optimization Symposium (IPDO 2013)*, 1-10, 2013

**Karageorghis A, Lesnic D, Marin L** Boundary meshless methods for the solution of inverse problems In *Proceedings of the 9th UK Conference on Boundary Integral Methods*, 79-86, 2013

**Hazanee A, Lesnic D** The boundary element method for solving an inverse time-dependent source problem In *Proceedings of the 9th UK Conference on Boundary Integral Methods*, 55-62, 2013

**Bin-Mohsin B, Lesnic D** A meshless numerical identification of a convective corroded boundary In *Proceedings of the 9th UK Conference on Boundary Integral Methods*, 9-16, 2013

**Koyunbakan H, Lesnic D, Panakhov ES** Ambarzumyan type theorem for a quadratic Sturm-Liouville operator *Turkish Journal of Science and Technology*, **8**, 1-5, 2013

**Hào DN, Thanh PX, Lesnic D** Determination of the heat transfer coefficients in transient heat conduction *Inverse Problems*, **29**, 095020-095020, 2013

View abstract

**Johansson BT, Lesnic D, Reeve T** A meshless regularization method for a two-dimensional two-phase linear inverse Stefan problem *Advances in Applied Mathematics and Mechanics*, **5**, 825-845, 2013

DOI:10.4208/aamm.2013.m77

View abstract

**Yousefi SA, Lesnic D, Barikbin Z** Satisfier function in Ritz-Galerkin method for the identification of a time-dependent diffusivity *Journal of Inverse and Ill-Posed Problems*, **20**, 701-722, 2012

DOI:10.1515/jip-2012-0020

**Karageorghis A, Johansson BT, Lesnic D** The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering *Applied Numerical Mathematics*, **62**, 1767-1780, 2012

DOI:10.1016/j.apnum.2012.05.011

View abstract

**Karageorghis A, Lesnic D, Marin L** The method of fundamental solutions for the detection of rigid inclusions and cavities in plane linear elastic bodies *Computers and Structures*, **106-107**, 176-188, 2012

DOI:10.1016/j.compstruc.2012.05.001

View abstract

**Johansson BT, Lesnic D, Reeve T** A method of fundamental solutions for the radially symmetric inverse heat conduction problem *International Communications in Heat and Mass Transfer*, **39**, 887-895, 2012

DOI:10.1016/j.icheatmasstransfer.2012.05.011

View abstract

**Johansson BT, Lesnic D, Reeve T** A method of fundamental solutions for radially symmetric and axisymmetric backward heat conduction problems *International Journal of Computer Mathematics*, **89**, 1555-1568, 2012

DOI:10.1080/00207160.2012.680448

View abstract

**Lesnic D** Proceedings of the 8th UK Conference on Boundary Integral Methods, July 4th-5th, 2011, held at the University of Leeds, UK *International Journal of Computer Mathematics*, **89**, 1446-1447, 2012

DOI:10.1080/00207160.2012.702546

**Hao DN, Thanh PX, Lesnic D, Johansson BT** A boundary element method for a multi-dimensional inverse heat conduction problem *International Journal of Computer Mathematics*, **89**, 1540-1554, 2012

DOI:10.1080/00207160.2012.668891

View abstract

**Karageorghis A, Lesnic D** A meshless numerical identification of a sound-hard obstacle *Engineering Analysis with Boundary Elements*, **36**, 1074-1081, 2012

DOI:10.1016/j.enganabound.2012.02.001

View abstract

**Dawson M, Borman DJ, Hammond RB, Lesnic D, Rhodes D** Detection of a two-dimensional moving cavity *International Journal of Computer Mathematics*, **89**, 1569-1582, 2012

DOI:10.1080/00207160.2012.689290

View abstract

**Bin-Mohsin B, Lesnic D** Identification of a corroded boundary and its Robin coefficient *East Asian Journal on Applied Mathematics*, **2**, 126-149, 2012

DOI:10.4208/eajam.130212.300312a

**Bin-Mohsin B, Lesnic D** Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions *Mathematics and Computers in Simulation*, **82**, 1445-1458, 2012

DOI:10.1016/j.matcom.2012.02.002

View abstract

**Hào DN, Chuong LH, Lesnic D** Heuristic regularization methods for numerical differentiation *Computers and Mathematics with Applications*, **63**, 816-826, 2012

DOI:10.1016/j.camwa.2011.11.047

View abstract

**Lesnic D, Bin-Mohsin B** Inverse shape and surface heat transfer coefficient identification *Journal of Computational and Applied Mathematics*, **236**, 1876-1891, 2012

DOI:10.1016/j.cam.2011.10.020

View abstract

**Hasanoglu A; Dulikravich GS; Kabanikhin S; Lesnic D; Neubauer A eds. ** *Abstracts of the 6th International Conference "Inverse Problems: Modeling and Simulation"* 2012

**Ismailov MI, Kanca F, Lesnic D** Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions *Applied Mathematics and Computation*, **218**, 4138-4146, 2011

DOI:10.1016/j.amc.2011.09.044

**Bin-Mohsin B, Lesnic D** The method of fundamental solutions for Helmholtz-type equations in composite materials *Computers and Mathematics with Applications*, **62**, 4377-4390, 2011

DOI:10.1016/j.camwa.2011.10.006

**Karageorghis A, Lesnic D, Marin L** The MFS for the detection of inner boundaries in linear elasticity *WIT Transactions on Modelling and Simulation*, **52**, 229-239, 2011

DOI:10.2495/BE110201

View abstract

**Johansson BT, Lesnic D, Reeve T** A method of fundamental solutions for the one-dimensional inverse Stefan problem *Applied Mathematical Modelling*, **35**, 4367-4378, 2011

DOI:10.1016/j.apm.2011.03.005

**Johansson BT, Lesnic D, Reeve T** A comparative study on applying the method of fundamental solutions to the backward heat conduction problem *Mathematical and Computer Modelling*, **54**, 403-416, 2011

DOI:10.1016/j.mcm.2011.02.030

**Karageorghis A, Lesnic D** Application of the MFS to inverse obstacle scattering problems *Engineering Analysis with Boundary Elements*, **35**, 631-638, 2011

DOI:10.1016/j.enganabound.2010.11.010

**Marin L, Karageorghis A, Lesnic D** The MFS for numerical boundary identification in two-dimensional harmonic problems *Enginering Analysis with Boundary Elements*, **35**, 342-354, 2011

DOI:10.1016/j.enganabound.2010.09.014

**Trucu D, Ingham DB, Lesnic D** Reconstruction of the space- and time-dependent blood perfusion coefficient in bio-heat transfer *Heat Transfer Engineering*, **32**, 800-810, 2011

DOI:10.1080/01457632.2011.525430

**Karageorghis A, Lesnic D, Marin L** A survey of applications of the MFS to inverse problems *Inverse Problems in Science and Engineering*, **19**, 309-336, 2011

DOI:10.1080/17415977.2011.551830

**Johansson BT, Lesnic D, Reeve T** A method of fundamental solutions for two-dimensional heat conduction *International Journal of Computer Mathematics*, **88**, 1697-1713, 2011

DOI:10.1080/00207160.2010.522233

**Johansson BT, Lesnic D, Reeve T** Numerical approximation of the one-dimensional inverse Cauchy-Stefan problem using a method of fundamental solutions *Inverse Problems in Science and Engineering*, **19**, 659-677, 2011

DOI:10.1080/17415977.2011.579610

**Hasanoglu AH, Lesnic D** Special Issue: Proceedings of the 5th International Conference on Inverse Problems: Modeling and Simulation, May 24th-29th, 2010, held in Antalya, Turkey Foreword *Inverse Problems in Science and Engineering*, **19**, 575-575, 2011

DOI:10.1080/17415977.2011.579604

**Karageorghis A, Lesnic D, Marin L** The MFS for inverse geomteric problems In *Inverse Problems and Computational Mechanics*, 191-216, 2011

**Brown B, Lesnic D** Inverse problems in diffusion In *Inverse Problems and Computational Mechanics*, **1**, 33-52, 2011

**Lesnic D ed. ** *8th UK Conference on Boundary Integral Methods* 2011

**Dawson M, Borman D, Hammond R, Lesnic D, Rhodes D** Predicting a time evolving accummulating crystalline formation using a meshless boundary tracking approach In *Particulate System Analysis 2011*, 1-5, 2011

**Lesnic D** The comparison model method for determining the flexural rigidity of a beam *Journal of Inverse and ill-Posed Problems*, **18**, 577-590, 2010

DOI:10.1515/JIIP.2010.026

**Karageorghis A, Lesnic D** The method of fundamental solutions for inverse obstacle acoustic scattering *WIT Transactions on Modelling and Simulation*, **50**, 193-202, 2010

DOI:10.2495/BE100171

View abstract

**Trucu D, Ingham DB, Lesnic D** Space-dependent perfusion coefficient identification in the transient bio-heat equation *Journal of Engineering Mathematics*, **67**, 307-315, 2010

DOI:10.1007/s10665-009-9319-6

**Trucu D, Ingham DB, Lesnic D** Inverse temperature-dependent perfusion coefficient reconstruction *International Journal of Nonlinear Mechanics*, **45**, 542-549, 2010

DOI:10.1016/j.ijnonlinmec.2010.02.004

**Hao DN, Van Duc N, Lesnic D** Regularization of parabolic equations backward in time by a non-local boundary value problem method *IMA Journal of Applied Mathematics*, **75**, 291-315, 2010

DOI:10.1093/imamat/hxp026

**Karageorghis A, Lesnic D** The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow *Advances in Applied Mathematics and Mechanics*, **2**, 183-199, 2010

DOI:10.4208/aamm.09-m0962

**Lesnic D, Wakefield G, Sleeman BD, Ockendon JR** Determination of the index of refraction of anti-reflection coatings *Maths-in-Industry Case Studies Journal*, **2**, 155-173, 2010

**Dinh Nho H, Johansson BT, Lesnic D, Pham Minh H** A variational method and approximations of a Cauchy problem for elliptic equations *Journal of Algorithms and Computational Technology*, **4**, 89-119, 2010

**Lesnic D, Trucu D** The identification of blood perfusion coefficient in bio-heat transfer In *Inverse Problems. Design and Optimization Symposium (IPDO-2010)*, 277-284, 2010

**Marin L, Lesnic D** Heat transfer in functionally graded materials using the method of fundamental solutions In *Research Trends in Mechanics*, **4**, 221-240, 2010

**Hasanov A, Lesnic D** Foreword to the Special Issue - Proceedings of the 4th International Conference on Inverse Problems: Modeling and Simulation *Inverse Problems in Science and Engineering*, **18**, 1-1, 2010

**Hasanov A, Lesnic D** Special Issue of the Proceedings of the 4th International Conference on Inverse Problems: Modeling and Simulation *Inverse Problems in Science and Engineering*, **18**, 1-180, 2010

**Karageorghis A, Lesnic D** The method of fundamental solutions for the inverse conductivity problem *Inverse Problems in Science and Engineering*, **18**, 567-583, 2010

DOI:10.1080/17415971003675019

**Slodicka M, Lesnic D, Onyango TTM** Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem *Inverse Problems in Science and Engineering*, **18**, 65-81, 2010

DOI:10.1080/17415970903234273

**Lesnic D, Zeb A** The method of fundamental solutions for an inverse internal boundary value problem for the biharmonic equation *International Journal of Computational Methods*, **6**, 557-567, 2009

DOI:10.1142/S0219876209001991

**Johansson BT, Lesnic D** A method of fundamental solutions for transient heat conduction in layered materials *Engineering Analysis with Boundary Elements*, **33**, 1362-1367, 2009

DOI:10.1016/j.enganabound.2009.04.014

**Lesnic D** Identification of the time-dependent perfusion coefficient in the bio-heat conduction equation *Journal of Inverse and Ill-Posed Problems*, **17**, 753-764, 2009

DOI:10.1515/JIIP.2009.044

**Slodicka M, Lesnic D** Determination of the Robin coefficient in a nonlinear boundary condition for a steady-state problem *Mathematical Methods in the Applied Sciences*, **32**, 1311-1324, 2009

DOI:10.1002/mma.1095

**Dinh NH, Nguyen VD, Lesnic D** A non-local boundary value problem method for the Cauchy problem for elliptic equations *Inverse Problems*, **25**, 055002-055002, 2009

DOI:10.1088/0266-5611/25/5/055002

**Chantasiriwan S, Johansson BT, Lesnic D** The method of fundamental solutions for free surface Stefan problems *Engineering Analysis with Boundary Elements*, **33**, 529-538, 2009

DOI:10.1016/j.enganabound.2008.08.010

**Lesnic D** On the boundary integral equations for a two-dimensional slowly rotating highly viscous fluid flow *Advances in Applied Mathematics and Mechanics*, **1**, 140-150, 2009

**Onyango TTM, Ingham DB, Lesnic D** Inverse reconstruction of boundary condition coefficients in one-dimensional transient heat conduction *Applied Mathematics and Computation*, **207**, 569-575, 2009

DOI:10.1016/j.amc.2008.11.007

**Onyango TTM, Ingham DB, Lesnic D, Slodicka M** Determination of a time-dependent heat transfer coefficient from non-standard boundary measurements *Mathematics and Computers in Simulation*, **79**, 1577-1584, 2009

DOI:10.1016/j.matcom.2008.07.014

**Lesnic D, Onyango TTM, Ingham DB** The boundary element method for the determination of nonlinear boundary conditions in heat conduction *WIT Transactions on Modelling and Simulation*, **49**, 45-55, 2009

**Johansson BT, Lesnic D** A relaxation of an alternating method for the reconstruction of a stationary flow from incomplete boundary data In *Seventh UK Conference on Boundary Integral Methods*, 161-169, 2009

**Onyango TTM, Ingham DB, Lesnic D** Reconstruction of boundary condition laws in steady inverse heat conduction problems using the boundary element method In *Seventh UK Conference on Boundary Integral Methods*, 87-98, 2009

**Karageorghis A, Lesnic D** Detection of cavities using the method of fundamental solutions *Inverse Problems in Science and Engineering*, **17**, 803-820, 2009

DOI:10.1080/17415970802580263

**Trucu D, Ingham DB, Lesnic D** An inverse coefficient identification problem for the bio-heat equation *Inverse Problems in Science and Engineering*, **17**, 65-83, 2009

DOI:10.1080/17415970802082880

**Onyango TTM, Ingham DB, Lesnic D** Reconstruction of boundary condition laws in heat conduction using the boundary element method *Computers and Mathematics with Applications*, **57**, 153-168, 2009

DOI:10.1016/j.camwa.2008.09.001

**Borman DJ, Ingham DB, Johansson BT, Lesnic D** The method of fundamental solutions for detection of cavities in EIT *Journal of Integral Equations and Applications*, **21**, 381-404, 2009

DOI:10.1216/JIE-2009-21-3-383

View abstract

**Karageorghis A, Lesnic D** The method of fundamental solutions for steady-state heat conduction in nonlinear materials *Communications in Computational Physics*, **4**, 911-928, 2008

**Onyango TTM, Ingham DB, Lesnic D** Restoring boundary conditions in heat conduction *Journal of Engineering Mathematics*, **62**, 85-101, 2008

DOI:10.1007/s10665-007-9192-0

**Johansson BT, Lesnic D** A method of fundamental solutions for transient heat conduction *Engineering Analysis with Boundary Elements*, **32**, 697-703, 2008

DOI:10.1016/j.enganabound.2007.11.012

**Zeb A, Ingham DB, Lesnic D** The method of fundamental solutions for a biharmonic inverse boundary determination problem *Computational Mechanics*, **42**, 371-379, 2008

DOI:10.1007/s00466-008-0246-6

**Onyango TTM, Ingham DB, Lesnic D** Reconstruction of heat transfer coefficients using the boundary element method *Computers and Mathematics with Applications*, **56**, 114-126, 2008

DOI:10.1016/j.camwa.2007.11.038

**Harris SD, Mustata R, Elliott L, Ingham DB, Lesnic D** Numerical identification of the hydraulic conductivity of composite anisotropic materials *CMES: Computer Modeling in Engineering and Sciences*, **25**, 69-79, 2008

**Johansson BT, Lesnic D** A procedure for determining a spacewise dependent heat source and the initial temperature *Applicable Analysis*, **87**, 265-276, 2008

**Karageorghis A, Lesnic D** Steady-state nonlinear heat conduction in composite materials using the method of fundamental solutions *Computer Methods in Applied Mechanics and Engineering*, **197**, 3122-3137, 2008

DOI:10.1016/j.cma.2008.02.011

**Lesnic D, Hasanov A** Determination of the leading coefficient in fourth-order Sturm-Liouville operator from boundary measurements *Inverse Problems in Science and Engineering*, **16**, 413-424, 2008

DOI:10.1080/17415970701256528

View abstract

**Lesnic D** The decomposition method for nonlinear, second-order, parabolic partial differential equations *International Journal of Computational Mathematics and Numerical Simulation*, **1**, 207-233, 2008

**Lesnic D** Decomposition method for Fisher's equation with nonlinear diffusion *International Journal of Computational Mathematics and Numerical Simulation*, **1**, 187-192, 2008

**Karageorghis A, Lesnic D** The method of fundamental solutions for steady-state nonlinear heat conduction In *The Method of Fundamental Solutions - A Meshless Method*, 127-143, 2008

**Onyango TTM, Ingham DB, Lesnic D** Reconstruction of boundary condition laws in heat conduction In *6th International Conference on Inverse Problems in Engineering: Theory and Practice (ICIPE2008)*, 1-8, 2008

**Lesnic D** Special Issue - IPSE/5ICIPE *Inverse Problems in Science and Engineering*, **16**, 1-1, 2008

**Lesnic D** Special Issue on the Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice *Inverse Problems in Science and Engineering*, **16**, 1-126, 2008

**Lesnic D** A direct solution of a damped force vibration problem. I. Single-degree-of-freedom *International Journal of Computational Mathematics and Numerical Simulation*, **1**, 113-129-113-129, 2008

**Lesnic D** A direct solution of a damped force vibration problem. II. Multiple-degrees-of-freedom *International Journal of Computational Mathematics and Numerical Simulation*, **1**, 1-11, 2008

**Lesnic D, Attili BS** An efficient method for higher-order Sturm-Liouville problems *International Journal of Computational Mathematics and Numerical Simulation*, **1**, 33-43, 2008

**Trucu D, Ingham DB, Lesnic D** Inverse space-dependent perfusion coefficient identification *Journal of Physics: Conference Series*, **135**, 012098-012098, 2008

DOI:10.1088/1742-6596/135/1/012098

View abstract

**Trucu D, Ingham DB, Lesnic D** Inverse time-dependent perfusion coefficient identification *Journal of Physics: Conference Series*, **124**, 012050-012050, 2008

DOI:10.1088/1742-6596/124/1/012050

View abstract

**Johansson BT, Lesnic D** A variational method for identifying a spacewise-dependent heat source *IMA Journal of Applied Mathematics*, **72**, 748-760, 2007

DOI:10.1093/imamat/hxm024

**Lesnic D** The boundary element method for solving the Laplace equation in two-dimensions with oblique derivative boundary conditions *Communications in Numerical Methods in Engineering*, **23**, 1071-1080, 2007

DOI:10.1002/cnm.947

**Johansson T, Lesnic D** Determination of a spacewise dependent heat source *Journal of Computational and Applied Mathematics*, **209**, 66-80, 2007

DOI:10.1016/j.cam.2006.10.026

**Marin L, Lesnic D** The method of fundamental solutions for nonlinear functionally graded materials *International Journal of Solids and Structures*, **44**, 6878-6890, 2007

DOI:10.1016/i.ijsolstr.2007.03.014

**Johansson T, Lesnic D** An iterative method for the reconstruction of a stationary flow *Numerical Methods for Partial Differential Equations*, **23**, 998-1017, 2007

DOI:10.1002/num.20205

**Lesnic D** A reliable technique for solving third-order dispersion equations *Kybernetes*, **36**, 697-708, 2007

DOI:10.1108/03684920710749776

View abstract

**Lesnic D** The decomposition method for Cauchy reaction-diffusion problems *Applied Mathematics Letters*, **20**, 412-418, 2007

DOI:10.1016/j.aml.2006.05.006

**Lesnic D** A nonlinear reaction-diffusion process using the Adomian decomposition method *International Communications in Heat and Mass Transfer*, **34**, 129-135, 2007

DOI:10.1016/j.icheatmasstransfer.2006.11.005

**Lesnic D, Zhao C** Algorithmization and mechanization of the Cauchy problem associated with the plate equation *International Journal of Computer Mathematics*, **84**, 51-56, 2007

DOI:10.1080/00207160601140265

**Curteanu AE, Elliott L, Ingham DB, Lesnic D** Laplacian decomposition and boundary element method for solving Stokes problems. *Engineering Analysis with Boundary Elements*, **31**, 501-513, 2007

**West RM, Lesnic D** Special Issue on Inverse Problems in Engineering *Measurement Science and Technology*, **18**, 1-95, 2007

DOI:10.1088/0957-0233/18/1/E01

**Lesnic D, Attili BS** An efficient method for sixth-order Sturm-Liouville problems *International Journal of Science and Technology*, **2**, 109-114, 2007

**Lesnic D** Special Issue - IPSE/5ICIPE *Inverse Problems in Science and Engineering*, **15**, 659-659, 2007

**Lesnic D** Special Issue on the Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice *Inverse Problems in Science and Engineering*, **15**, 659-782, 2007

**Lesnic D** The condition number of BEM-matrices arising from the biharmonic equation In *Advances in Boundary Integral Methods - Proceedings of the Sixth UK Conference on Boundary Integral Methods*, 283-290, 2007

**Trucu D, Ingham DB, Lesnic D** Direct boundary element method for the transient bio-heat transfer equation In *Advances in Boundary Integral Methods - Proceedings of the Sixth UK Conference on Boundary Integral Methods*, 223-232, 2007

**Borman D, Ingham DB, Johansson T, Lesnic D** The method of fundamental solutions for direct cavity problems in EIT In *Advances in Boundary Integral Methods - Proceedings of the Sixth UK Conference on Boundary Integral Methods*, 193-202, 2007

**Johansson T, Lesnic D** The method of fundamental solutions for the exterior oblique derivative problem in potential theory In

**Zeb A, Ingham DB, Lesnic D** The MFS for biharmonic Cauchy problems in annular domains In

**Onyango TTM, Ingham DB, Lesnic D** Restoring boundary conditions in heat conduction using the boundary element method In

**Trucu D, Ingham DB, Lesnic D** The inverse coefficient identification problem in bio-heat transient flow equation In *Inverse Problems, Design and Optimization (IPDO-2007)*, **I**, 214-221, 2007

**Lesnic D, Hasanov A** Determination of the leading coefficient in fourth-order Sturm-Liouville operator from boundary measurements In *Inverse Problems, Design and Optimization (IPDO-2007)*, **I**, 9-14, 2007

**Lesnic D, Wake GC** A mollified method for the solution of the Cauchy problem for the convection-diffusion equation *Inverse Problems in Science and Engineering*, **15**, 293-302, 2007

DOI:10.1080/17415970600839002

**Johansson T, Lesnic D** Reconstruction of a stationary flow from incomplete boundary data using iterative methods *European Journal of Applied Mathematics*, **17**, 651-663, 2007

DOI:10.1017/S0956792507006791

**Lesnic D, Harris SD, Elliott L, Mustata R, Clennell B, Ingham DB** Identification of the hydraulic properties of heterogeneous rocks from laboratory flow-pump experiments. *Journal of Porous Media*, **10**, 71-91, 2007

**Rap A, Elliott L, Ingham DB, Lesnic D, Wen X** The inverse source problem for the variable coefficients convection-diffusion equation *Inverse Problems in Engineering*, **15**, 413-440, 2007

DOI:10.1080/17415970600731274

View abstract

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** Parameter identification in Helmholtz-type equations with a variable coefficient using a regularized DRBEM *Inverse Problems in Science and Engineering*, **14**, 837-858, 2006

DOI:10.1080/17415970600844325

**Attili BS, Lesnic D** An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems *Applied Mathematics and Computation*, **182**, 1247-1254, 2006

DOI:10.1016/j.amc.2006.05.011

**Lesnic D** The decomposition method for initial value problems *Applied Mathematics and Computation*, **181**, 206-213, 2006

DOI:10.1016/j.amc.2006.01.025

**Marin L, Wen X, Elliott L, Ingham DB, Lesnic D, Heggs PJ** Parameter identification in two-dimensional fins using the boundary element method *Numerical Heat Transfer; Part A: Applications*, **50**, 315-344, 2006

DOI:10.1080/10407790600605905

View abstract

**Rap A, Elliott L, Ingham DB, Lesnic D, Wen X** An inverse source problem for the convection-diffusion equation *International Journal of Numerical Methods for Heat and Fluid Flow*, **16**, 125-150, 2006

DOI:10.1108/09615530610644235

View abstract

**Bastay G, Johansson T, Kozlov VA, Lesnic D** An alternating method for the stationary Stokes system *Zeitschrift fuer Angewandte Mathematik und Mechanik*, **86**, 268-280, 2006

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients *Journal of Sound and Vibration*, **297**, 89-105, 2006

DOI:10.1016/j.jsv.2006.03.045

**Curteanu AE, Elliott L, Ingham DB, Lesnic D** Laplacian decomposition method for inverse Stokes problems *Studia Universitatis "Babes-Bolyai" Mathematica*, **LI**, 89-104, 2006

**Johansson T, Lesnic D** A variational conjugate gradient method for determining the fluid velocity of a slow viscous flow from Cauchy data *Applicable Analysis*, **85**, 1327-1341, 2006

**Lesnic D** Determination of the flexural rigidity of a beam from limited boundary measurements *Journal of Applied Mathematics and Computing*, **20**, 17-34, 2006

**Johansson T, Lesnic D** An iterative boundary element method for the determination of a spacewise dependent heat source In *Advances in Boundary Element Techniques VII*, 85-89, 2006

**Lesnic D** Blow-up solutions obtained using the decomposition method *Chaos, Solitons and Fractals*, **28**, 776-787, 2006

**Lesnic D** The decomposition method for linear, one-dimensional, time-dependent partial differential equations *International Journal of Mathematics and Mathematical Sciences*, **2006**, 1-29

**Farcas A, Lesnic D** The boundary element method for the determination of a heat source dependent on one variable *Journal of Engineering Mathematics*, **54**, 375-388, 2006

DOI:10.1007/s10665-005-9023-0

**Mera NS, Lesnic D** A three-dimensional boundary determination problem in potential corrosion damage *Computational Mechanics*, **36**, 129-138, 2005

DOI:10.1007/s00466-004-0647-0

**Johansson T, Lesnic D** A recursive boundary element based method for the Cauchy problem in linear hydrodynamics In *Advances in Boundary Integral Methods - Proceedings of the Fifth UK Conference on Boundary Integral Methods*, 42-51, 2005

**Lesnic D** Decomposition methods for nonlinear, non-characteristic Cauchy heat problems *Communications in Nonlinear Science and Numerical Simulation*, **10**, 581-596, 2005

**Marin L, Lesnic D** The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations *Computers and Structures*, **83**, 267-278, 2005

DOI:10.1016/j.compstruc.2004.10.005

**Lesnic D** Calculation of the critical Stokes number for wide-stream impaction of potential flow over symmetric arc-nosed collectors *Acta Universitatis Apulensis*, **9**, 25-34, 2005

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** Two-dimensional thermal analysis of a polygonal fin with two tubes on a square pitch *International Journal of Heat and Mass Transfer*, **48**, 3018-3033, 2005

**Marin L, Lesnic D** Boundary element-Landweber method for the Cauchy problem in linear elasticity *IMA Journal of Applied Mathematics*, **70**, 323-340, 2005

**Curteanu AE, Elliott L, Ingham DB, Lesnic D** An alternative method for solving direct and inverse Stokes problems *Acta Universitatis Apulensis*, **10**, 1-13, 2005

**Rap A, Elliott L, Ingham DB, Lesnic D, Wen X** Boundary element methods for inverse convection-diffusion problems In *Advances in Boundary Integral Methods - Proceedings of the Fifth UK Conference on Boundary Integral Methods*, 242-251, 2005

**Ingham DB, Ellerton PM, Elliott L, Heggs PJ, Lesnic D, Marin L, Wen X** Computation of heat transfer in polygonal fin heat exchangers In *Progress in Computational Heat and Mass Transfer*, **II**, 866-870, 2005

**Lesnic D** The determination of a permeability function from core measurements and pressure data In *Inverse Problems, Design and Optimization*, **I**, 143-150, 2005

**Lesnic D, Marin L** A tutorial on inverse analysis with boundary elements In *Inverse Problems, Design and Optimization*, **I**, 69-78, 2005

**Curteanu AE, Elliott L, Ingham DB, Lesnic D** The Almansi decomposition for solving direct and inverse Stokes problems *WIT Transactions on Modelling and Simulation*, **39**, 223-232, 2005

**Marin L, Lesnic D** The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation *Mathematical and Computer Modelling*, **42**, 261-278, 2005

DOI:10.1016/j.mcm.2005.04.004

**Lesnic D** The decomposition method for Cauchy advection-diffusion problems *Computers and Mathematics with Applications*, **49**, 525-537, 2005

**Marin L, Lesnic D, Mantic V** Treatment of singularities in Helmholtz-type equations using the boundary element method *Journal of Sound and Vibration*, **278**, 39-62, 2004

DOI:10.1016/j.jsv.2003.09.059

**Marin L, Lesnic D** The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity *International Journal of Solids and Structures*, **41**, 3425-3438, 2004

DOI:10.1016/j.ijsolstr.2004.02.009

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** Analysis of polygonal fins using the boundary element method *Applied Thermal Engineering*, **24**, 1321-1331, 2004

DOI:10.1016/j.applthermaleng.2003.12.022

**Farcas A, Elliott L, Ingham DB, Lesnic D** An inverse dual reciprocity method for parameter identification in steady groundwater flow *Advances in Water Resources*, **27**, 223-235, 2004

DOI:10.1016/j.advwatres.2004.02.001

**Lesnic D** Heat conduction with mixed derivatives *International Journal of Computer Mathematics*, **81**, 971-977, 2004

**Marin L, Elliott L, Ingham DB, Lesnic D** The boundary element method for the numerical recovery of a circular inhomogeneity in an elliptic equation *Engineering Analysis with Boundary Elements*, **28**, 413-419, 2004

**Rap A, Elliott L, Ingham DB, Lesnic D, Wen X** DRBEM for Cauchy convection-diffusion problems with variable coefficients *Engineering Analysis with Boundary Elements*, **28**, 1321-1333, 2004

DOI:10.1016/j.enganabound.2004.06.003

**Lesnic D, Ingham DB, Pop I, Storr C** Free convection boundary-layer flow above a near horizontal surface in a porous medium with Newtonian heating *Heat and Mass Transfer: Waerme- und Stoffuebertragung*, **40**, 665-672, 2004

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method *Engineering Analysis with Boundary Elements*, **28**, 1025-1034, 2004

DOI:10.1016/j.enganabound.2004.03.001

**Lesnic D, Heggs PJ** A decomposition method for power-law fin-type problems *International Communications in Heat and Mass Transfer*, **31**, 673-682, 2004

DOI:10.1016/S0735-1933(04)00054-5

**Lesnic D** The determination of the unknown thermal properties of homogeneous heat conductors *International Journal of Computational Methods*, **1**, 431-443, 2004

**Marin L, Elliott L, Ingham DB, Lesnic D** Parameter identification in isotropic elasticity using the boundary element method *Engineering Analysis with Boundary Elements*, **28**, 221-233, 2004

DOI:10.1016/S0955-7997(03)00053-5

**Jourhmane M, Lesnic D, Mera NS** Relaxation procedures for an iterative algorithm for solving the Cauchy problem for the Laplace equation *Engineering Analysis with Boundary Elements*, **28**, 655-665, 2004

DOI:10.1016/j.enganabound.2003.07.002

View abstract

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation *International Journal for Numerical Methods in Engineering*, **60**, 1933-1947, 2004

DOI:10.1002/nme.1031

**Curteanu AE, Elliott L, Ingham DB, Lesnic D** An alternative method for solving steady free convection problems in porous media In *Advances in Boundary Element Techniques V*, 127-132, 2004

**Lesnic D** The determination of the thermal properties of a homogeneous heat conductor In *Advances in Boundary Element Techniques V*, 83-87, 2004

**Lesnic D** Uniqueness of a separable, nonlinear and heterogeneous conductivity In *Thirteenth Inverse Problems in Engineering Seminar*, 73-76, 2004

**Marin L, Elliott L, Ingham DB, Lesnic D** Identification of material properties and cavities in two-dimensional linear elasticity *Computational Mechanics*, **31**, 293-300, 2003

DOI:10.1007/s00466-003-0432-5

**Rap A, Elliott L, Ingham DB, Lesnic D, Wen X** The Cauchy problem for the steady-state convection-diffusion equation using BEM In *Advances in Boundary Element Techniques IV*, 281-286, 2003

**Lesnic D** Inversion of discontinuous anisotropic conductivities In *Recent Developments in Theories and Numerics: International Conference on Inverse Problems*, 123-133, 2003

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation *Computer Methods in Applied Mechanics and Engineering*, **192**, 709-722, 2003

DOI:10.1016/S0045-7825(02)00592-3

**Farcas A, Elliott L, Ingham DB, Lesnic D, Mera NS** A dual reciprocity boundary element method for the regularized numerical solution of the inverse source problem associated to the Poisson equation *Inverse Problems in Engineering*, **11**, 123-139, 2003

DOI:10.1080/1068276031000074267

View abstract

**Marin L, Lesnic D** BEM first-order regularisation method in linear elasticity for the boundary identification *Computer Methods in Applied Mechanics and Engineering*, **192**, 2059-2071, 2003

DOI:10.1016/S0045-7825(03)00239-1

**Lesnic D** A numerical investigation which proves the existence or non-existence of a solution for the Cauchy problem for elliptic equations In *Fourth UK Conference on Boundary Integral Methods*, 137-146, 2003

**Farcas A, Elliott L, Ingham DB, Lesnic D** A DRM for solving the inverse problem of steady groundwater flow In *Fourth UK Conference on Boundary Integral Methods*, 87-96, 2003

**Curteanu A, Elliott L, Ingham DB, Lesnic D** A Laplacian decomposition of the two-dimensional Stokes equation In *Fourth UK Conference on Boundary Integral Methods*, 47-56, 2003

**Cattle BA, Elliott L, Fellerman AS, Ingham DB, Lesnic D, West RM** High-energy gamma ray tomography in the nuclear industry In *3rd World Congress on Industrial Process Tomography*, 96-101, 2003

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** Boundary element solution for the Cauchy problem associated to the Helmholtz equation by the Tikhonov regularisation method In *Inverse Problems in Engineering Mechanics*, 485-494, 2003

**Lesnic D** Characterization of the functions with bounded variations *Acta Universitatis Apulensis*, **6**, 47-54, 2003

**Farcas A, Elliott L, Ingham DB, Lesnic D** The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation *Engineering Analysis with Boundary Elements*, **27**, 955-962, 2003

DOI:10.1016/S0955-7997(03)00073-0

**Rap A, Elliott L, Ingham DB, Lesnic D, Wen X** The Cauchy problem for the steady-state convection-diffusion equation using a regularised DRBEM In *Fourth UK Conference on Boundary Integral Methods*, 1-10, 2003

**Marin L, Elliott L, Ingham DB, Lesnic D** BEM solution for the Cauchy problem in linear elasticity via the Landweber method In *Advances in Boundary Element Techniques IV*, 445-450, 2003

**Marin L, Lesnic D** Numerical boundary identification in linear elasticity In *Fourth UK Conference on Boundary Integral Methods*, 21-30, 2003

**Marin L, Elliott L, Heggs PJ, Ingham DB, Lesnic D, Wen X** Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations *Computational Mechanics*, **31**, 367-377, 2003

**Lesnic D, Mera NS** The boundary element method for the inversion of discontinuous conductivities In *Advances in Boundary Element Techniques IV*, 237-242, 2003

**Curteanu AE, Elliott L, Ingham DB, Lesnic D** A problem of steady free convection in porous media In *Current Issues on Heat and Mass Transfer in Porous Media*, 87-96, 2003

**Mera NS, Elliott L, Ingham DB, Lesnic D** A comparison of different regularization methods for a Cauchy problem in anisotropic heat conduction *International Journal of Numerical Methods for Heat and Fluid Flow*, **13**, 528-546, 2003

DOI:10.1108/09615530310482436

View abstract

**Mera NS, Lesnic D** A boundary element method for the numerical inversion of discontinuous anisotropic conductivities *Engineering Analysis with Boundary Elements*, **27**, 1-7, 2003

DOI:10.1016/S0955-7997(02)00111-X

View abstract

**Zeb A, Elliott L, Ingham DB, Lesnic D** An inverse Stokes problem using interior pressure data *Engineering Analysis with Boundary Elements*, **26**, 739-745, 2002

DOI:10.1016/S0955-7997(02)00045-0

**Lesnic D** The decomposition method for forward and backward time-dependent problems *Journal of Computational and Applied Mathematics*, **147**, 27-39, 2002

DOI:10.1016/S0377-0427(02)00388-6

**Lesnic D** The Cauchy problem for the wave equation using the decomposition method *Applied Mathematics Letters*, **15**, 697-701, 2002

**Marin L, Elliott L, Ingham DB, Lesnic D** Boundary element regularisation methods for solving the Cauchy problem in linear elasticity *Inverse Problems in Engineering*, **10**, 335-357, 2002

DOI:10.1080/1068276021000004698

**Mustata R, Elliott L, Harris SD, Ingham DB, Lesnic D** Retrieval of spacewise dependent hydraulic properties of anisotropic rocks from transcient flow experiements *Transport in Porous Media*, **48**, 79-99, 2002

DOI:10.1023/A:1015676111387

**Lesnic D** Convergence of Adomian's decomposition method : Periodic temperatures *Computers and Mathematics with Applications*, **44**, 13-24, 2002

DOI:10.1016/S0898-1221(02)00127-X

**Marin L, Elliott L, Ingham DB, Lesnic D** An iterative boundary element algorithm for a singular Cauchy problem in linear elasticity *Computational Mechanics*, **28**, 479-488, 2002

DOI:10.1007/s00466-002-0313-3

**Marin L, Nho Hao D, Lesnic D** Conjugate gradient–boundary element method for the Cauchy problem in elasticity *Quarterly Journal of Mechanics and Applied Mathematics*, **55**, 227-247, 2002

DOI:10.1093/qjmam/55.2.227

**Lesnic D, Berger J, Martin P** A boundary element regularization method for the boundary determination in potential corrosion damage *Inverse Problems in Engineering*, **10**, 163-182, 2002

DOI:10.1080/10682760290007453

**Mera NS, Elliott L, Ingham DB, Lesnic D** Singularities in anisotropic steady-state heat conduction using a boundary element method *International Journal for Numerical Methods in Engineering*, **53**, 2413-2427, 2002

DOI:10.1002/nme.407

**Lesnic D** The determination of the thermal properties of a heat conductor in a nonlinear heat conduction problem *Zeitschrift fuer Angewandte Mathematik und Physik*, **53**, 175-196, 2002

**Ghinda T, Hancu S, Ma L, Lesnic D, Ingham DB** Numerical modelling and experimental investigation of the fluid flow and contaminant dispersion in a channel *International Journal of Heat and Mass Transfer*, **45**, 2707-2718, 2002

DOI:10.1016/S0017-9310(02)00004-2

**Marin L, Lesnic D** Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition *Computer Methods in Applied Mechanics and Engineering*, **191**, 3257-3270, 2002

DOI:10.1016/S0045-7825(02)00262-1

**Marin L, Lesnic D** A regularization method for the numerical solution of the Cauchy problem for the Helmholtz equation *Buletinul Stiintific al Universitatii Baia Mare*, **18**, 235-242, 2002

**Marin L, Elliott L, Ingham DB, Lesnic D** Comparison of various methods for solving the Cauchy problem in linear elasticity In *Inverse Problems in Engineering: Theorey and Practice*, **1**, 121-128, 2002

**Mera NS, Elliott L, Ingham DB, Lesnic D** An iterative algorithm for a singular Cauchy problem for the steady state anisotropic heat conduction equation *Engineering Analysis with Boundary Elements*, **26**, 157-168, 2002

DOI:10.1016/S0955-7997(01)00089-3

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**Mera NS, Elliott L, Ingham DB, Lesnic D** A comparison of different regularization methods for a Laplace equation Cauchy problem In *Heat Transfer 2002, Proceedings of the Twelth International Heat Transfer Conference*, 9-14, 2002

**Lesnic D** The determination of the thermal properties of a heated flat plate In *Inverse Problems in Engineering: Theory and Practice*, 45-51, 2002

**Marin L, Elliott L, Ingham DB, Lesnic D** An iterative method for the Cauchy problem in linear elasticity in domains with singularities In *Proceedings of the Fifth International Seminars on Geometry, Continua and Microstructures*, 147-158, 2002

**Marin L, Lesnic D** Regularised boundary element solution for an inverse boundary value problem in linear elasticity *Communications in Numerical Methods in Engineering*, **18**, 817-825, 2002

DOI:10.1002/cnm.541

**Mera NS, Elliott L, Ingham DB, Lesnic D** Use of the boundary element method to determine the thermal conductivity tensor of an anisotropic medium *International Journal of Heat and Mass Transfer*, **44**, 4157-4167, 2001

DOI:10.1016/S0017-9310(01)00028-X

**Marin L, Elliott L, Ingham DB, Lesnic D** Boundary element based solution for the Cauchy problem in linear elasticity by the Tikhonov regularization method In *Third UK Conference on Boundary Integral Methods*, 149-158, 2001

**Lesnic D** A numerical investigation of the inverse potential conductivity problem in a circular inclusion *Inverse Problems in Engineering*, **9**, 1-17, 2001

**Farcas A, Elliott L, Ingham DB, Lesnic D** An alternative boundary element method for solving biharmonic problems In *Third UK Conference on Boundary Integral Methods*, 77-86, 2001

**Lesnic D, Berger J, Martin P** A boundary element investigation of the potential boundary determination In *Third UK Conference on Boundary Integral Methods*, 47-56, 2001

**Vaszi A, Ingham DB, Lesnic D, Munslow B, Pop I** Conjugate free convection from a slightly inclined plate embedded in a porous medium *Zeitschrift fuer Angewandte Mathematik und Mechanik*, **81**, 465-479, 2001

**Mustata R, Harris SD, Elliott L, Lesnic D, Ingham DB, Khachfe RA, Jarny Y** The determination of the properties of orthotropic heat conductors In *Inverse Problems and Experimental Design in Thermal and Mechanical Engineering*, 325-333, 2001

**Marin L, Nho Hao D, Lesnic D** Conjugate gradient-boundary element method for a Cauchy problem in the Lame system In *Boundary Element Technology XIV*, 229-238, 2001

**Marin L, Elliott L, Ingham DB, Lesnic D** Boundary element method for the Cauchy problem in linear elasticity *Engineering Analysis with Boundary Elements*, **25**, 783-793, 2001

DOI:10.1016/S0955-7997(01)00062-5

**Mera NS, Elliott L, Ingham DB, Lesnic D** An iterative boundary element method for solving the one-dimensional backward heat conduction problem *International Journal of Heat and Mass Transfer*, **44**, 1937-1946, 2001

DOI:10.1016/S0017-9310(00)00235-0

**Mera NS, Elliott L, Ingham DB, Lesnic D** A modified iterative boundary element method for singularities in Cauchy type problems In *Inverse Problems and Experimental Design in Thermal and Mechanical Engineering*, 89-93, 2001

**Lesnic D** A computational algebraic investigation of the decomposition method for time-dependent problems *Applied Mathematics and Computation*, **119**, 197-206, 2001

DOI:10.1016/S0096-3003(99)00257-X

**Mera NS, Elliott L, Ingham DB, Lesnic D** A comparison of boundary element method formulations for steady state anisotropic heat conduction problems *Engineering Analysis with Boundary Elements*, **25**, 115-128, 2001

DOI:10.1016/S0955-7997(00)00050-3

**Mera NS, Elliott L, Ingham DB, Lesnic D** Treatment of singularities in Cauchy problems by an iterative modified boundary element method In *Third UK Conference on Boundary Integral Methods*, 1-10, 2001

**Pop I, Lesnic D, Ingham DB** Asymptotic solutions for the free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating *Hybrid Methods in Engineering*, **2**, 31-40, 2000

**Mera NS, Elliott L, Ingham DB, Lesnic D** An iterative BEM for the Cauchy steady state heat conduction problem in an anisotropic medium with unknown thermal conductivity tensor *Inverse Problems in Engineering*, **8**, 579-607, 2000

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**Zeb A, Elliott L, Ingham DB, Lesnic D** Boundary element two-dimensional solution of an inverse Stokes problem *Engineering Analysis with Boundary Elements*, **24**, 75-88, 2000

**Zeb A, Elliott L, Ingham DB, Lesnic D** Solution of an inverse Stokes problem using interior data In *Boundary Elements XXII*, 221-230, 2000

**Mera NS, Elliott L, Ingham DB, Lesnic D** An iterative boundary element method for the solution of a Cauchy steady state heat conduction problem *CMES: Computer Modelling in Engineering and Sciences*, **1**, 101-106, 2000

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**Mustata R, Harris SD, Elliott L, Lesnic D, Ingham DB** An inverse boundary element method for determining the hydraulic conductivity in anisotropic rocks *CMES: Computer Modeling in Engineering and Sciences*, **1**, 107-116, 2000

**Marin L, Elliott L, Ingham DB, Lesnic D** Boundary element solution for the Cauchy problem in linear elasticity In *Boundary Elements XXII*, 83-92, 2000

**Lesnic D** Retrieving the flexural rigidity of a beam from deflection measurements In *Inverse Problems in Engineering: Theory and Practice*, 39-44, 2000

**Lesnic D, Elliott L, Ingham DB, Zeb A** An inverse problem for slow viscous incompressible flows In *Inverse Problems in Engineering: Theory and Practice*, 195-202, 2000

**Lesnic D, Ingham DB, Pop I** Free convection from a horizontal surface in a porous medium with Newtonian heating *Journal of Porous Media*, **3**, 227-235, 2000

**Lesnic D** Identifiability of distributed parameters in beam-type systems *Journal of Inverse and Ill-Posed Problems*, **8**, 379-398, 2000

**Lesnic D, Elliott L, Ingham DB** Identifiability of distributed parameters for high-order quasi-linear differential equations *Journal of Inverse and Ill-Posed Problems*, **8**, 1-22, 2000

**Nho Hao D, Lesnic D** The Cauchy problem for Laplace's equation via the conjugate gradient method *IMA Journal of Applied Mathematics*, **65**, 199-217, 2000

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**Mera NS, Elliott L, Ingham DB, Lesnic D** The boundary element solution of the Cauchy steady state heat conduction problem in an anisotropic medium *International Journal for Numerical Methods in Engineering*, **49**, 481-499, 2000

**Lesnic D, Elliott L** The decomposition approach to inverse heat conduction *Journal of Mathematical Analysis and Applications*, **232**, 82-98, 1999

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**Lesnic D, Elliott L, Ingham DB** Analysis of coefficient identification problems associated to the inverse Euler-Bernoulli beam theory *IMA Journal of Applied Mathematics*, **62**, 101-116, 1999

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**Mustata R, Harris SD, Elliott L, Ingham DB, Lesnic D** Parameter identification in a boundary element model of a hydraulic pump flow test In *Proceedings of the 1st International Conference on Boundary Element Techniques*, 331-340, 1999

**Mera NS, Elliott L, Ingham DB, Lesnic D** The boundary element solution of the Cauchy steady state heat conduction problem In *Second UK Conference on Boundary Integral Methods*, 39-50, 1999

**Lesnic D, Elliott L, Ingham DB, Zeb A** A numerical method for solving an inverse biharmonic problem *Inverse Problems in Engineering*, **7**, 409-431, 1999

**Mera NS, Elliott L, Ingham DB, Lesnic D** The effect of a variable relaxation factor on the rate of convergence in the Cauchy problem In *Proceedings of the 1st International Conference on Boundary Element Techniques*, 357-366, 1999

**Lesnic D, Elliott L, Ingham DB, Zeb A** The boundary element regularized solution for the biharmonic equation with underspecified boundary conditions and interior measurements In *Second UK Conference on Boundary Integral Methods*, 245-256, 1999

**Zeb A, Elliott L, Ingham DB, Lesnic D** A comparison of different methods to solve inverse biharmonic boundary value problems *International Journal for Numerical Methods in Engineering*, **45**, 1791-1806, 1999

**Lesnic D** An approximate boundary element method for solving the diffusion equation with spacewise dependent capacity and periodic boundary conditions In *Second UK Conference on Boundary Integral Methods*, 13-19, 1999

**Pop I, Lesnic D, Ingham DB** Asymptotic solutions for the free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating In *CHMT99 Proceedings of the International Conference on Computational Heat and Mass Transfer*, 306-310, 1999

**Lesnic D, Elliott L, Ingham DB, Clennell MB, Knipe RJ** The identification of the piecewise homogeneous thermal conductivity of conductors subjected to a heat flow test *International Journal of Heat and Mass Transfer*, **42**, 143-152, 1999

**Lesnic D, Ingham DB, Pop I** Free convection boundary-layer flow along a vertical surface in a porous medium with Newtonian heating *International Journal of Heat and Mass Transfer*, **42**, 2621-2627, 1999

**Lesnic D, Pop I** Free convection in a porous medium adjacent to horizontal surfaces *Zeitschrift fuer Angewandte Mathematik und Mechanik*, **78**, 197-205, 1998

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**Lesnic D, Pop I** Mixed convection over a horizontal surface embedded in a porous medium In *Mathematics of Heat Transfer*, 219-224, 1998

**Lesnic D, Elliott L, Ingham DB, Knipe RJ, Clennell MB** An inverse problem to determine the piecewise homogeneous hydraulic conductivity within rocks In *Faulting, Sealing and Fluid Flow in Hydrocarbon Reservoirs*, **147**, 261-268, 1998

**Lesnic D, Elliott L, Ingham DB** An alternating algorithm for solving the backward heat conduction problem using an elliptic approximation *Inverse Problems in Engineering*, **6**, 255-279, 1998

**Lesnic D** Inverse initial boundary value problems in heat conduction *Trends in Heat, Mass and Momentum Transfer*, **4**, 37-60, 1998

**Lesnic D, Elliott L, Ingham DB, Zeb A** The boundary element method for solving an inverse problem associated to the biharmonic equation In *Proceedings of the 3rd International Conference on Dynamic System Identification and Inverse Problems*, 140-166, 1998

**Zeb A, Elliott L, Ingham DB, Lesnic D** Cauchy problem for the biharmonic equation solved using the regularization method In *Boundary Element Research in Europe EUROBEM98*, 285-294, 1998

**Lesnic D, Elliott L, Ingham DB** An inverse coefficient identification problem for the heat equation In *Inverse Problems in Engineering Mechanics*, 11-16, 1998

**Lesnic D, Elliott L, Ingham DB** The boundary element solution of the Laplace and biharmonic equation subjected to noisy boundary data *International Journal for Numerical Methods in Engineering*, **43**, 479-492, 1998

**Lesnic D, Elliott L, Ingham DB** The solution of an inverse heat conduction problem subject to the specification of energies *International Journal of Heat and Mass Transfer*, **41**, 25-32, 1998

**Zeb A, Elliott L, Ingham DB, Lesnic D** The boundary element method for the solution of Stokes equations in two-dimensional domains *Engineering Analysis with Boundary Elements*, **22**, 317-326, 1998

**Lesnic D, Elliott L, Ingham DB, Knipe RJ, Clennell MB** Identification of the hydraulic conductivity of a material in time-dependent diffusion problems: Least-squares finite-difference and energy boundary element solutions In *Inverse Problems in Engineering: Theory and Practice*, 347-355, 1998

**Lesnic D, Elliott L, Ingham DB** A boundary element method for the determination of the transmissivity of a heterogeneous aquifer in groundwater flow systems *Engineering Analysis with Boundary Elements*, **21**, 223-234, 1998

**Lesnic D, Elliott L, Ingham DB, Clennell MB, Knipe RJ** A mathematical model and numerical investigation for determining the hydraulic conductivity of rocks *International Journal of Rock Mechanics and Mining Sciences*, **34**, 741-759, 1997

**Lesnic D** The identification of piecewise homogeneous properties of rocks In *Boundary Integral Formulations for Inverse Analysis*, 237-257, 1997

**Lesnic D** An exact stable approximate solution to the inverse heat conduction problem for inhomogeneous conductors In *Proceedings of the 4th Conference on Applied and Industrial Mathematics*, 106-110, 1997

**Lesnic D, Elliott L, Ingham DB** Spacewise coefficient identification in steady and unsteady one-dimensional diffusion problems *IMA Journal of Applied Mathematics*, **59**, 183-192, 1997

**Lesnic D, Elliott L, Ingham DB** An alternating boundary element method for solving Cauchy problems for the biharmonic equation *Inverse Problems in Engineering*, **5**, 145-168, 1997

**Zeb A, Elliott L, Ingham DB, Lesnic D** Solution of the Cauchy problem for Laplace equation In *First UK Conference on Boundary Integral Methods*, 297-307, 1997

**Lesnic D, Elliott L, Ingham DB** Darcy's flows with unknown square-root harmonic transmissivity In *First UK Conference on Boundary Integral Methods*, 190-201, 1997

**Lesnic D, Elliott L, Ingham DB** An iterative boundary element method for solving numerically the Cauchy problem for the Laplace equation *Engineering Analysis with Boundary Elements*, **20**, 123-133, 1997

**Pop I, Ingham DB, Lesnic D** Conjugate film down a heated vertical wall *Zeitschrift fuer Angewandte Mathematik und Mechanik*, **77**, 151-154, 1997

**Zeb A, Elliott L, Ingham DB, Lesnic D** Solution of the Cauchy problem for the biharmonic equation In *Boundary Elements XIX*, 749-756, 1997

**Lesnic D** The solution of an inverse heat conduction problem subject to the specification of energy In *Proceedings of the 4th Conference on Applied and Industrial Mathematics*, 102-105, 1997

**Lesnic D, Elliott L, Ingham DB** Application of the boundary element method to inverse heat conduction problems *International Journal of Heat and Mass Transfer*, **39**, 1503-1517, 1996

**Lesnic D, Elliott L, Ingham DB** Numerical inversion of atmospheric particle size distributions from diffusion battery data In *The 1996 IChemE Research Event - 2nd European Conference for Young Researchers in Chemical Engineering*, 1501-1503, 1996

**Lesnic D, Elliott L, Ingham DB** A numerical analysis of the data inversion of particle sizing instruments *Journal of Aerosol Science*, **27**, 1063-1082, 1996

**Lesnic D, Elliott L, Ingham DB** Identification of the thermal conductivity and heat capacity in unsteady nonlinear heat conduction problems using the boundary element method *Journal of Computational Physics*, **126**, 410-420, 1996

**Lesnic D, Wrobel LC** Derivation of boundary integral equations for the fluid velocity in potential and viscous flows past arbitrary bodies *Boundary Element Communications*, **7**, 257-260, 1996

**Lesnic D, Elliott L, Ingham DB** Treatment of singularities in time-dependent problems using the boundary element method *Engineering Analysis with Boundary Elements*, **16**, 65-70, 1995

**Lesnic D, Ingham DB, Pop I** Conjugate free convection from a horizontal surface in a porous medium *Zeitschrift fuer Angewandte Mathematik und Mechanik*, **75**, 715-722, 1995

**Lesnic D, Elliott L, Ingham DB** Boundary element method for solving an inverse problem in radial heat conduction In *Proceedings of the ASME/JMSE Thermal Engineering Joint Conference*, 71-78, 1995

**Lesnic D, Elliott L, Ingham DB** An inversion method for the determination of particle size distribution from diffusion battery measurements *Journal of Aerosol Science*, **26**, 797-812, 1995

**Lesnic D, Elliott L, Ingham DB** Effect of sharp corners on potential fluid flow past blunt bodies *Advances in Fluid Mechanics*, **4**, 1-29, 1995

**Lesnic D, Elliott L, Ingham DB** The inverse determination of the particle size distribution from the diffusion battery data In *Proceedings of the 9th Annual UK Aerosol Society Conference*, 68-73, 1995

**Lesnic D, Elliott L, Ingham DB** A numerical method for solving the backward heat conduction problem In *1995 National ASME Heat Transfer Conference*, **10**, 151-158, 1995

**Lesnic D, Elliott L, Ingham DB** A note on the determination of the thermal properties of a material in a transient nonlinear heat conduction problem *International Communications in Heat and Mass Transfer*, **22**, 475-482, 1995

**Pop I, Lesnic D, Ingham DB** Conjugate mixed convection on a vertical surface in a porous medium *International Journal of Heat and Mass Transfer*, **38**, 1517-1525, 1995

**Lesnic D ** *Boundary Element Methods for Solving Steady Potential Flow Problems and Direct and Inverse Unsteady Heat Conduction Problems*. PhD Thesis, Department of Applied Mathematical Studies, Leeds University 1995

**Lesnic D, Elliott L, Ingham DB** Boundary element method for an improperly posed problem in unsteady heat conduction In *Boundary Element Technology IX*, 77-84, 1994

**Lesnic D, Elliott L, Ingham DB** The collection efficiency of obstacles In *The 1994 IChemE Research Event*, 1157-1159, 1994

**Lesnic D, Elliott L, Ingham DB** Characterisations of the critical Stokes number for potential and viscous flows *Mathematika*, **41**, 277-292, 1994

**Lesnic D, Elliott L, Ingham DB** Treatment of singularities in exterior fluid domains with corners using the boundary element method *Computers and Fluids*, **23**, 817-827, 1994

**Lesnic D, Elliott L, Ingham DB** Boundary element method and minimal energy technique for the inverse heat conduction problem In *Proceedings of the 2nd International Conference on Dynamic System Identification and Inverse Problems*, **1**, 1-12, 1994

**Lesnic D, Elliott L, Ingham DB** The influence of separation on the collection efficiencies of obstacles *Journal of Aerosol Science*, **25**, 527-533, 1994

**Lesnic D, Elliott L, Ingham DB** Collection efficiencies of the wide-stream impaction on obstacles In *Proceedings of the 7th Annual UK Aerosol Society Conference*, 33-38, 1993

**Lesnic D ** *The Fluid Flow and Collection Efficiency of a Rotating Arm Collector*. MSc Thesis, Department of Applied Mathematical Studies, Leeds University 1993

**Lesnic D, Elliott L, Ingham DB** Boundary element methods for determining the fluid velocity in potential flow *Engineering Analysis with Boundary Elements*, **11**, 203-213, 1993

**Lesnic D, Elliott L, Ingham DB** Potential flow past a bluff body with and without separation In *Computational Modelling of Free and Moving Boundary Problems II*, 153-164, 1993

**Lesnic D, Elliott L, Ingham DB** On Levin's theorem for the critical Stokes number *Journal of Aerosol Science*, **24**, S151-S152, 1993

**Lesnic D, Elliott L, Ingham DB** The collection efficiency of the rotating-arm-collector In *The 1993 IChemE Research Event*, 242-244, 1993

**Lesnic D, Elliott L, Ingham DB** A mathematical model for predicting the collection efficiency of the rotating arm collector *Journal of Aerosol Science*, **24**, 163-180, 1993

**Garajeu M, Lesnic D** Rotations and roses In *Automatic Graphic in Fortran 77 Language and Applications*, 154-160, 1988

**Lesnic D** On a geometry problem *Mathematical Gazette of Romania*, 244-244, 1984

**Karageorghis A, Lesnic D, Marin L** The plane waves method for numerical boundary identification *Advances in Applied Mathematics and Mechanics*

**Lesnic D, Huntul MJ** Determination of time-dependent coefficients and multiple free boundaries *Eurasian Journal of Mathematical and Computer Applications*

**Karageorghis A, Lesnic D, Marin L** The method of fundamental solutions for the identification of a scatterer with impedance boundary condition in interior inverse acoustic scattering *Engineering Analysis with Boundary Elements*

DOI:10.1016/j.enganabound.2017.07.005

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