# School of Mathematics

## Dr Lionel Elliott

Consultant in Further Mathematics

Applied Mathematics

### Contact details

Room: Satellite 10.27

Tel: +44 (0)113 3435121

Email: L.Elliott @ leeds.ac.uk

## Publications

**Curteanu AE, Elliott L, Ingham DB, Lesnic D** Laplacian decomposition and the boundary element method for solving Stokes problems *ENG ANAL BOUND ELEM*, **31**, 501-513, 2007

DOI:10.1016/j.enganabound.2006.10.004

**Hoyes JR; Ingham DB; Elliott L; Peakall J ** *The application of three-dimensional direct numerical simulation to high Reynolds number lock-release gravity currents.*the 32nd Congress of IAHR 2007

**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

**Hoyes JRI; Elliott L; Ingham DB; Williams DB; McCaffrey DA; Peakall J; Pourkashanian M ** *High resolution numerical simulations of bidisperse particle-driven gravity currents.*AAPG Annual Meeting 2007

**Elliott L, Ingham DB, Kyne AG, Mera NS, Pourkashanian M, Wilson CW** A novel approach to mechanism reduction optimization for an aviation fuel/air reaction mechanism using a genetic algorithm *J ENG GAS TURB POWER*, **128**, 255-263, 2006

View abstract

**Corney RKT, Peakall J, Parsons DR, Elliott L, Amos KJ, Best JL, Keevil GM, Ingham DB** The orientation of helical flow in curved channels *SEDIMENTOLOGY*, **53**, 249-257, 2006

DOI:10.1111/j.1365-3091.2006.00771.x

**Kyne AG, Mera NS, Elliott L, Ingham DB, Pourkashanian M, Whittaker S** Reaction mechanism reduction and optimisation for modelling aviation fuel oxidation using standard and hybrid genetic algorithms *Computers&Chemical Engineering*, **30**, 889-900, 2006

DOI:10.1016/j.compchemeng.2006.01.003

View abstract

**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

**Rap A, Elliott L, Ingham DB, Lesnic D, Wen X** An inverse source problem for the convection-diffusion equation *INT J NUMER METHOD H*, **16**, 125-150, 2006

DOI:10.1108/09615530610644235

**Rap A; Elliott L; Ingham DB; Lesnic D; Wen X ** *Boundary element methods for inverse convection-diffusion problems*Advances in Boundary Integral Methods V, 242-251 2005

View abstract

**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 *INT J HEAT MASS TRAN*, **48**, 3018-3033, 2005

DOI:10.1016/j.ijheatmasstransfer.2004.11.030

**Elliott L, Ingham DB, Kyne AG, Mera NS, Pourkashanian M, Wilson CW** Reaction mechanism reduction and optimization using genetic algorithms *IND ENG CHEM RES*, **44**, 658-667, 2005

DOI:10.1021/ie049409d

**Mera NS; Elliott L; Ingham DB; Lesnic D ** *Comparison of a genetic algorithm and a gradient based optimisation technique for a three-dimensional boundary detection problem*5th International Conference on Inverse Problems in Engineering: Theory and Practice, pp.M04-1-10 2005

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

**Pourkashanian M, Mera NS, Ingham DB, Elliott L, Kyne AG, Wilson CW** The use of ignition delay time in genetic algorithms optimisation of chemical kinetics reaction mechanisms. *Engineering Applications of Artificial Intelligence*, **18**, 825-831, 2005

DOI:10.1016/j.engappai.2005.02.006

View abstract

**Hardy RJ, Lane SN, Lawless MR, Best JL, Elliott L, Ingham DB** Development and testing of a numerical code for treatment of complex river channel topography in three-dimensional CFD models with structured grids *Journal of Hydraulic Research*, **43**, 468-480, 2005

**Curteanu AE; Elliott L; Ingham DB; Lesnic D ** *The Almansi decomposition for solving direct and inverse Stokes problems*Boundary Elements XXVII, 223-232 2005

**Kyne AG; Mera NS; Ingham DB; Pourkashanian M; Wilson CW; Elliott L ** *Optimisation of a surrogate reduced aviation fuel/air reaction mechanism using a genetic algorithm*Eighth International Conference on Energy for a Clean Environment - Clean Air 2005 2005

**Laska M; Ingham DB; Elliott L; Syposz J ** *A computational fluid dynamics microclimate investigation of sports arenas.*The iith International Conference on Air Conditioning, Air Protection&District Heating 2005

**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 *ENG ANAL BOUND ELEM*, **28**, 1025-1034, 2004

DOI:10.1016/j.enganaboung.2004.03.001

**Rap A; Elliott L; Ingham DB; Lesnic D; Wen X ** *Boundary element method for inverse source convection-diffusion problems*Third International Conference on Boundary Integral Methods: Theory and Applications, pp.78 2004

**Lorinczi P; Harris SD; Elliott L ** *A flux-vector-based green element method for highly-heterogeneous media*ECMOR 9th European conference on the mathematics of oil recovery; Cannes, France, Book of proceedings, pp.004 2004

**Elliott L, Ingham DB, Kyne AG, Mera NS, Pourkashanian M, Wilson CW** A novel approach to the optimization of reaction rate parameters for methane combustion using multi-objective genetic algorithms *J ENG GAS TURB POWER*, **126**, 455-464, 2004

View abstract

**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**, 1321-1339, 2004

DOI:10.1016/j.applthermaleng.2003.12.022

**Elliott L, Ingham DB, Kyne AG, Mera NS, Pourkashanian M, Wilson CW** Genetic algorithms for optimisation of chemical kinetics reaction mechanisms *Progress in Energy and Combustion Science*, **30**, 297-328, 2004

DOI:10.1016/j.pecs.2004.02.002

View abstract

**Farcas A, Elliott L, Ingham DB, Lesnic D** An inverse dual reciprocity method for hydraulic conductivity identification in steady groundwater flow *ADV WATER RESOUR*, **27**, 223-235, 2004

DOI:10.1016/j.advwatres.2004.02.001

**Marin L, Elliott L, Ingham DB, Lesnic D** Parameter identification in isotropic linear elasticity using the boundary element method *ENG ANAL BOUND ELEM*, **28**, 221-233, 2004

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

**Marin L; Elliott L; Heggs PJ; Ingham DB; Lesnic D; Wen X ** *Two-dimensional analysis of polygonal fin assemblies using boundary element method*Fourth European Thermal Sciences Conference (ETSC2004) 29-31 March 2004 2004

**Pourkashanian M; Wilson CW; Mera NS; Kyne AG; Ingham DB; Elliott L ** *A novel reduced reaction mechanism for kerosene combustion generated using genetic algorithms.*ASME Turbo Expo 2004: Land, Sea and Air 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

**Pourkashanian M; Ingham DB; Mera NS; Kyne AG; Elliott L; Whittaker S ** *Efficient clustering-based genetic algorithms in chemical kinetic modelling.*Genetic and Evolutionary Computation Conference (GECCO 2004) 2004

**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

**Lane SN, Hardy RJ, Elliott L, Ingham DB** Numerical Modelling of Flow Processes over Gravely surfaces using structured grids and numerical porosity treatment *Water Resources Research*, **40**, 2004

DOI:10.1029/2002WR001934

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

**Pourkashanian M; Mera NS; Ingham DB; Elliott L; Kyne AG; Wilson CW ** *An informed operator based genetic algorithm for tuning the reaction rate parameters of chemical kinetics mechanisms*Genetic and Evolutionary Computation Conference (GECCO 2004) 2004

**Aly EH, Elliott L, Ingham DB** Mixed convection boundary-layer flow over a vertical surface embedded in a porous medium *EUR J MECH B-FLUID*, **22**, 529-543, 2003

DOI:10.1016/S0997-7546(03)00059-1

**Vaszi AZ, Elliott L, Ingham DB, Pop I** Conjugate free convection from vertical fins embedded in a porous medium *NUMER HEAT TR A-APPL*, **44**, 743-770, 2003

DOI:10.1080/10407780390229701

**Al-Hadhrami AK, Elliott L, Ingham DB** A new model for viscous dissipation in porous media across a range of permeability values *TRANSPORT POROUS MED*, **53**, 117-122, 2003

**Al-Hadhrami AK, Elliott L, Ingham DB, Wen X** Flows through horizontal channels of porous materials *INTERNATIONAL JOURNAL OF ENERGY RESEARCH*, **27**, 875-889, 2003

DOI:10.1002/er.923

**Elliott L, Ingham DB** Comutational fluid dynamics and the physical modelling of an upland urban river *Geomorphology*, 2003

**Mera NS, Elliott L, Ingham DB** A real coded genetic algorithm approach for detection of subsurface isotropic and anisotropic inclusions *INVERSE PROBL ENG*, **11**, 157-173, 2003

DOI:10.1080/1068276031000078434

**Al-Hadhrami A, Elliott L, Ingham DB, Wen X** Analytical solutions of fluid flows through composite channels *International Journal of Energy Research*, **27**, 875-889, 2003

DOI:10.1002/er.923

**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

**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

**Mera N, Elliott L, Ingham DB** A Genetic Algorithm for Shape Identification Using The Boundary Element Method *None*, 2003

**Pourkashanian M; Ingham DB; Elliott L; Mera NS; Kyne AG; Wilson CW ** *A novel approach to the optimisation of reaction rate parameters for methane combustion using multi-objective genetic algorithms.*ASME Turbo Expo 2003: Land, Sea and Air 2003

**Mera NS, Elliott L, Ingham DB** Detection of subsurface cavities in IR-CAT by a real coded genetic algorithm *Applied soft computing*, **2**, 129-139, 2003

View abstract

**Marin L, Elliott L, Ingham DB, Lesnic D** Identification of material properties and cavities in two-dimensional linear elasticity *Computational Mechanics*, **31**, 193-200, 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

**Mera N; Elliott L; Ingham DB ** *A Genetic Algorithm for Shape Identification Using The Boundary Element Method*Proceedings of the Fourth UK Conference on Boundary Itegral Nethods, Salford, 11-20 2003

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

**Mera NS; Elliott L; Ingham DB ** *Genetic algorithms for shape identification problems using the boundary element method*4th UK Conference on Boundary Integral Methods, 11-20 2003

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

**Mera NS; Elliott L; Ingham DB ** *Some applications of genetic algorithms in porous media*NATO Advanced Institute on Porous Media, 317-338 2003

**Mera NS; Elliott L; Ingham DB ** *Detection of subsurface cavities and inclusions using genetic algorithms*International Symposium of Inverse Problems in Engineering Mechanics, 251-260 2003

**Corney RK; Peakall J; Best JL; McCaffrey WD; Elliott L; Ingham DB ** *The fluid dynamics of submarine channels and canyons: preliminary experimental and numerical results*BSRG, Leeds 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

**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

**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

**Farcas A; Elliott L; Ingham DB; Lesnic D ** *A DRM For solving the inverse problem of steady groundwater flow*Fourth UK Conference on Boundary Integral Methods, 47-56 2003

**Aly EH; Elliott L; Ingham DB; Daly E ** *Mixed Convection Over a Vertical Surface Embedded in a Porous Medium under the Boundary-Layer Approximation*Eighth UK National Heat Transfer Conference, Conference CD 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

**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

**Pourkashanian M, Ingham DB, Elliott L, Mera NS, Kyne AG, Wilson CW** Incorporation of physical bounds on rate parameters for reaction mechanism optimisation using genetic algorithms. *Combustion Science and Technology*, **175**, 619-648, 2003

DOI:10.1080/00102200302389

**Mera NS; Elliott L; Ingham DB ** *The detection of subsurface inclusions using internal measurements and genetic algorithms*25th World Conference on Boundary Element Methods, 3-13 2003

**Mera NS, Elliott L, Ingham DB** On the use of genetic algorithms for solving ill-posed problems *Inverse Problems in Engineering*, **11**, 105-121, 2003

DOI:10.1080/1068276021000058473

View abstract

**Al-Hadhrami A, Elliott L, Ingham DB** Combined free and forced convection in vertical channels of porous media *Transport in Porous Media*, **49**, 265-289, 2002

DOI:10.1023/A:1016290505000

**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

**Lane SN, Hardy RJ, Elliott L, Ingham DB** High - resolution numerical modelling of three-dimensional flows over complex river bed topography *Hydrological Processes*, **16**, 2261-2272, 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

**Elliott L, Ingham DB, Pop I, Vaszi A** Conjugate free convection above a heated finite horizontal flat plate embedded in a porous medium *International Journal of Heat and Mass Transfer*, 2002

**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

**Mera NS, Elliott L, Ingham DB, Lesnic D** Singularities in anisotropic steady-state heat conduction using a boundary element method *INT J NUMER METH ENG*, **53**, 2413-2427, 2002

DOI:10.1002/nme.407

**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

**Vaszi A; Elliott L; Ingham DB; Pop I ** *Conjugate Free Convection from a Vertical Plate Fin Embedded in a Porous Medium*Proceedings of the 12th Int Heat Transfer Conference, 827-832 2002

**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

**Elliott L, Ingham DB** The implementation of land use and relief height data in predicting the evolution of the atmospheric boundary-layer within the urban environment *Environmental Modelling&Software*, 2002

**Mera NS, Elliott L, Ingham DB** Comparison of a genetic algorithm and a gradient based optimisation technique for the problem of subsurface inclusions detection *None*, 123-134, 2002

**Ma L, Ashworth P, Best JL, Elliott L, Ingham DB, Whitcombe LJ** Computational fluid dynamics and the physical modelling of an upland urban river *Geomorphology*, **44**, 375-391, 2002

DOI:10.1016/S0169-555X(01)00184-2

**Roberts MVT; Best JL; Lane SN; Ingham DB; Elliott L ** *Flow dynamics at open-channel confluent meander bends*Proceedings of the Annual General Meeting of the British Sedimentological Research Group, University of East Anglia, pp.85 2002

**Vaszi A; Elliott L; Ingham DB; Pop I ** *Conjugate Free Convection froma Vertical Cyclindrical Fin Embedded in a Porous Medium*Proceedings of the First International Conference On Applications of Porous Media, June 2002, Djerba, Tunisia, 119-131 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

**Lonyangapuo JK, Elliott L, Ingham DB, Wen X** Solving free surface fluid flow problems by the minimal kinetic energy functional *INT J NUMER METH FL*, **37**, 577-600, 2001

**Mera NS, Elliott L, Ingham DB, Lesnic D** Use of the boundary element method to determine the thermal conductivity tensor of an anisotropic medium *INT J HEAT MASS TRAN*, **44**, 4157-4167, 2001

**Marin L, Elliott L, Ingham DB, Lesnic D** Boundary element method for the Cauchy problem in linear elasticity *ENG ANAL BOUND ELEM*, **25**, 783-793, 2001

**Mera NS, Elliott L, Ingham DB, Lesnic D** An iterative boundary element method for solving the one-dimensional backward heat conduction problem *INT J HEAT MASS TRAN*, **44**, 1937-1946, 2001

**Pecher R, Harris SD, Knipe RJ, Elliott L, Ingham DB** New formulation of the Green element method to maintain its second-order accuracy in 2D/3D *ENG ANAL BOUND ELEM*, **25**, 211-219, 2001

**Mera NS, Elliott L, Ingham DB, Lesnic D** A comparison of boundary element method formulations for steady state anisotropic heat conduction problems *ENG ANAL BOUND ELEM*, **25**, 115-128, 2001

**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

**Al-Hadhrami A, Elliott L, Ingham DB** Fluid flows through two-dimensional channels of composite materials *Transport in Porous Media*, 2001

**Pecher R, Harris SD, Knipe RJ, Elliott L, Ingham DB** New formulation of the Green element method to obtain its second-order accuracy in 2D/3D *Engineering Analysis with Boundary Elements*, **25**, 211-219, 2001

DOI:10.1016/S0955-7997(01)00008-X

**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

**Al-Hadhrami AK, Elliott L, Ingham DB, Wen X** Analytical solutions of fluid flows through composite channels *J POROUS MEDIA*, **4**, 149-163, 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

**Hardy RJ; Lawless MR; Lane SN; Best JL; Elliott L; Ingham DB ** *Monitoring and numerical modelling of 3-dimensional flow over complex river channel topography: part 2. Methodological advances*British Geomorphological Research Group Annual Meeting 2001

**Wright S, Elliott L, Ingham DB** A new Numerical Technique for the Transportation of Airnorne Particles *None*, **3**, 53-65, 2001

**Lawless MR; Hardy RJ; Lane SN; Best JL; Elliott L; Ingham DB ** *Monitoring and numerical modelling of 3-dimensional flow over complex river channel topography: part 1. Geomorphological implications*British Geomorphological Research Group Annual Meeting 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

**Elliott L, Ingham DB, Pop I, Vaszi A** Conjugate free convection above a cooled finite horizontal flat plate embedded in a porous medium *International Communications in Heat and Mass Transfer*, **45**, 2777-2795, 2001

**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

**Elliott L, Harris SD, Ingham DB, Pourkashanian M, Wilson CW** The optimisation of reaction rate parameters chemical combustion using genetic algorithms *Computer Methods in Applied Mechanics and Engineering*, 1065-1090, 2000

View abstract

**Marin L, Elliott L, Ingham DB, Lesnic D** An iterative method for the Cauchy problem in elasticity In *Boundary Elements XXII*, 83-92, 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, 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

**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

**Mustata R, Harris SD, Elliott L, Lesnic D, Ingham DB** An inverse boundary element method for determining the hydraulic conductivity in anisotropic rocks *CMES-COMP MODEL ENG*, **1**, 107-116, 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-COMP MODEL ENG*, **1**, 101-106, 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 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

View abstract

**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

**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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**Harris SD; McAllister E; Knipe RJ; Elliott L; Ingham DB ** *Scaling of fluid flow through complex geological structures*Proceedings of the 5th Annual Conference of the International Association for Mathematical Geology, 711-716 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, 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

**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

**Harris SD, Elliott L, Knipe RJ** The Pulsed Migration of Hydrocarbons Across Inactive Faults *Hydrology and Earth System Sciences*, **3**, 151-175, 1999

View abstract

**Harris SD; Mustata R; Elliott L; Ingham DB; Lesnic D ** *Parameter identification within rocks using genetic algorithms*GECCO-99: Proceedings of the Genetic and Evolutionary Computation Conference, pp.1779 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

**Ma L; Ingham DB; Elliott L; Ashworth P; Best JL; Whitcombe LJ ** *CFD and physical modelling of fluid flow over undulating bed topography*Proceedings of Yangtze Fluvial Conference, Shanghai, China 1999

**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, 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

**Elliott L; Harris SD; Ingham DB; Pourkashanian M; Wilson CW ** *The retrieval of chemical reaction rates using genetic algorithms*the Genetic and Evolutionary Computational Conference, pp.1780 1999

**Miskin I, Elliott L, Ingham DB** Stability in a Fully-Developed Two-Dimensional Resuspension Flow *International Journal of Multiphase Flow*, **25**, 501-530, 1999

View abstract

**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

**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

**McCaffery SJ, Elliott L, Ingham DB** Two-dimensional Enhanced Sedimentation in Inclined Fracture Channels *Mathematical Engineering in Industry*, **7**, 97-125, 1998

View abstract

**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

**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

**Harris SD, Elliott L, Ingham DB, Pop I** Transient free convection flow past a vertical flat plate subject to a sudden change in surface temperature *International Journal of Heat and Mass Transfer*, **41**, 357-372, 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, 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

**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 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** An alternating boundary element method for solving Cauchy problems for the biharmonic equation *Inverse Problems in Engineering*, **5**, 145-168, 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

**Zeb A, Elliott L, Ingham DB, Lesnic D** Solution of the Cauchy problem for the biharmonic equation In *Boundary Elements XIX*, 749-756, 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, 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, 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; Knipe RJ; Clennell MB ** *The identification of hydraulic conductivities of composite rocks*Faulting, Sealing and Fluid Flow in Hydrocarbon reservoirs: Abstracts, 113-114 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, 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** 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

**Miskin I, Elliott L, Ingham DB, Hammond PS** The Viscous Resuspension of Particles in an Inclined Rectangular Fracture *International Journal of Multiphase Flow*, **22**, 403-415, 1996

View abstract

**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** 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 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

**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 boundary element solution to the backward heat conduction problem*Proceeding of the 7th Inverse Problems in Engineering Seminar 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** 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** 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** Treatment of singularities in time-dependent problems using the boundary element method *Engineering Analysis with Boundary Elements*, **16**, 65-70, 1995

**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** 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** 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 collection efficiency of obstacles In *The 1994 IChemE Research Event*, 1157-1159, 1994

**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

**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** 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** The collection efficiency of the rotating-arm-collector In *The 1993 IChemE Research Event*, 242-244, 1993

**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

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