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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

Hussein MS, Kinash N, Lesnic D, Ivanchov M Retrieving the time-dependent thermal conductivity of an orthotropic rectangular conductor Applicable Analysis, 96, 2604-2618, 2017
DOI:10.1080/00036811.2016.1232401
View abstract

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

Hussein SO, Lesnic D, Yamamoto M Reconstruction of space-dependent potential and/or damping coefficients in the wave equation Computers and Mathematics with Applications, 74, 1435-1454, 2017
DOI:10.1016/j.camwa.2017.06.030
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

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, 2017
DOI:10.1016/j.enganabound.2017.07.005
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

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 solution9th 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 Advances in Boundary Integral Methods - Proceedings of the Sixth UK Conference on Boundary Integral Methods, 185-191, 2007

Zeb A, Ingham DB, Lesnic D The MFS for biharmonic Cauchy problems in annular domains In Advances in Boundary Integral Methods - Proceedings of the Sixth UK Conference on Boundary Integral Methods, 173-183, 2007

Onyango TTM, Ingham DB, Lesnic D Restoring boundary conditions in heat conduction using the boundary element method In Advances in Boundary Integral Methods - Proceedings of the Sixth UK Conference on Boundary Integral Methods, 139-147, 2007

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
View abstract

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

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

Huntul MJ, Lesnic D, Johansson BT Determination of an additive time- and space-dependent coefficient in the heat equation International Journal of Numerical Methods for Heat and Fluid Flow

Hussein MS, Lesnic D, Johansson BT, Hazanee A Identification of a multi-dimensional space-dependent heat source from boundary data Applied Mathematical Modelling
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Karageorghis A, Lesnic D, Marin L The plane waves method for numerical boundary identification Advances in Applied Mathematics and Mechanics