Journal Papers

- 1. L. Marin, L. Elliott, D.B. Ingham, D. Lesnic, Boundary element method for the Cauchy problem in linear elasticity, Engineering Analysis with Boundary Elements 25(9) 783-793, 2001.
  2. L. Marin, D.N. Hào, D. Lesnic, Conjugate gradient-boundary element method for the Cauchy problem in elasticity, Quarterly Journal of Mechanics and Applied Mathematics 55(2) 227-247, 2002.
  3. L. Marin, D. Lesnic, Regularized boundary element solution for an inverse boundary value problem in linear elasticity, Communications in Numerical Methods in Engineering 18(11) 817-825, 2002.
  4. L. Marin, D. Lesnic, Boundary element solution for the Cauchy problem in linear elasticity using singular value decomposition, Computer Methods in Applied Mechanics and Engineering 191(29-30) 3257-3270, 2002.
  5. L. Marin, L. Elliott, D.B. Ingham, D. Lesnic, An iterative boundary element algorithm for a singular Cauchy problem in linear elasticity, Computational Mechanics 28(6) 479-488, 2002.
  6. L. Marin, L. Elliott, D.B. Ingham, D. Lesnic, Boundary element regularisation methods for solving the Cauchy problem in linear elasticity, Inverse Problems in Engineering 10(4) 335-357, 2002.
  7. L. Marin, D. Lesnic, A regularisation method for the numerical solution of the Cauchy problem for the Helmholtz equation, Buletinul Ştiinţific al Universităţii Baia Mare, Seria B: Fascicola Matematică-Informatică 18(2) 235-242, 2002.
  8. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation, Computer Methods in Applied Mechanics and Engineering 192(5-6) 709-722, 2003.
  9. L. Marin, D. Lesnic, BEM first-order regularisation method in linear elasticity for boundary identification, Computer Methods in Applied Mechanics and Engineering 192(16-18) 2059-2071, 2003.
  10. L. Marin, L. Elliott, D.B. Ingham, D. Lesnic, Identification of material properties and cavities in two-dimensional linear elasticity, Computational Mechanics 31(3-4) 293-300, 2003.
  11. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Conjugate gradient-boundary element solution to the Cauchy problem for Helmholtz-type equations, Computational Mechanics 31(3-4) 367-377, 2003.
  12. L. Marin, L. Elliott, D.B. Ingham, D. Lesnic, Parameter identification in isotropic linear elasticity using the boundary element method, Engineering Analysis with Boundary Elements 28(3) 221-233, 2004.
  13. L. Marin, L. Elliott, D.B. Ingham, D. Lesnic, The boundary element method for the numerical recovery of a circular inhomogeneity in an elliptic equation, Engineering Analysis with Boundary Elements 28(4) 413-419, 2004.
  14. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Analysis of polygonal fins using the boundary element method, Applied Thermal Engineering 24(8-9) 1321-1339, 2004.
  15. L. Marin, D. Lesnic, The method of fundamental solutions for the Cauchy problem in two-dimensional linear elasticity, International Journal of Solids and Structures 41(13) 3425-3438, 2004.
  16. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation, International Journal for Numerical Methods in Engineering 60(11) 1933-1947, 2004.
  17. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, BEM solution for the Cauchy problem associated with Helmholtz-type equations by the Landweber method, Engineering Analysis with Boundary Elements 28(9) 1025-1034, 2004.
  18. L. Marin, D. Lesnic, V. Mantič, Treatment of singularities in Helmholtz-type equations using the boundary element method, Journal of Sound and Vibration 278(1-2) 39-62, 2004.
  19. L. Marin, D. Lesnic, The method of fundamental solutions for the Cauchy problem associated with two-dimensional Helmholtz-type equations, Computers & Structures 83(4-5) 267-278, 2005.
  20. L. Marin, D. Lesnic, Boundary element-Landweber method for the Cauchy problem in linear elasticity, IMA Journal of Applied Mathematics 70(2) 323-340, 2005.
  21. L. Marin, Numerical solution of the Cauchy problem for steady-state heat transfer in two-dimensional functionally graded materials, International Journal of Solids and Structures 42(15) 4338-4351, 2005.
  22. L. Marin, A meshless method for the numerical solution of the Cauchy problem associated with three-dimensional Helmholtz-type equations, Applied Mathematics and Computation 165(2) 355-374, 2005.
  23. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Two-dimensional thermal analysis of a polygonal fin with two tubes on a square pitch, International Journal of Heat and Mass Transfer 48(14) 3018-3033, 2005.
  24. L. Marin, Detection of cavities in Helmholtz-type equations using the boundary element method, Computer Methods in Applied Mechanics and Engineering 194(36-38) 4006-4023, 2005.
  25. L. Marin, A meshless method for solving the Cauchy problem in three-dimensional elastostatics, Computers & Mathematics with Applications 50(1-2) 73-92, 2005.
  26. L. Marin, D. Lesnic, The method of fundamental solutions for inverse boundary value problems associated with the two-dimensional biharmonic equation, Mathematical and Computer Modelling 42(3-4) 261-278, 2005.
  27. B. Jin, Y. Zheng, L. Marin, The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media, International Journal for Numerical Methods in Engineering 65(11) 1865-1891, 2006.
  28. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients, Journal of Sound and Vibration 297(1-2) 89-105, 2006.
  29. L. Marin, Numerical boundary identification for Helmholtz-type equations, Computational Mechanics 39(1) 25-40, 2006.
  30. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Parameter identification in two-dimensional fins using the boundary element method, Numerical Heat Transfer, Part A: Applications 50(4) 315-344, 2006.
  31. L. Marin, L. Elliott, P.J. Heggs, D.B. Ingham, D. Lesnic, X. Wen, Parameter identification in Helmholtz-type equations with a variable coefficient using a regularized DRBEM, Inverse Problems in Science and Engineering 14(8) 837-858, 2006.
  32. B.T. Johansson, L. Marin, A procedure for the temperature reconstruction in corner domains from Cauchy data, Inverse Problems 23(1) 357-372, 2007.
  33. B. Jin, L. Marin, The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction, International Journal for Numerical Methods in Engineering 69(8) 1570-1589, 2007.
  34. L. Comino, L. Marin, R. Gallego, An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity, Engineering Analysis with Boundary Elements 31(8) 667-682, 2007.
  35. L. Marin, D. Lesnic, The method of fundamental solutions for nonlinear functionally graded materials, International Journal of Solids and Structures 44(21) 6878-6890, 2007.
  36. L. Marin, H. Power, R.W. Bowtell, C. Cobos Sanchez, A.A. Becker, P. Glover, I.A. Jones, Boundary element method for an inverse problem in magnetic resonance imaging gradient coils, CMES: Computer Modeling in Engineering & Sciences 23(3) 149-174, 2008.
  37. B. Jin, L. Marin, The plane wave method for inverse problems associated with Helmholtz-type equations, Engineering Analysis with Boundary Elements 32(3) 223-240, 2008.
  38. L. Marin, H. Power, R.W. Bowtell, C. Cobos Sanchez, A.A. Becker, P. Glover, I.A. Jones, Numerical solution for an inverse MRI problem using a regularized boundary element method, Engineering Analysis with Boundary Elements 32(8) 658-675, 2008.
  39. L. Marin, The method of fundamental solutions for inverse problems associated with the steady-state heat conduction in the presence of sources, CMES: Computer Modeling in Engineering & Sciences 30(2) 99-122, 2008.
  40. L. Marin, Stable MFS solution to singular direct and inverse problems associated with the Laplace equation subjected to noisy data, CMES: Computer Modeling in Engineering & Sciences 37(3) 203-242, 2008.
  41. L. Marin, The minimal error method for the Cauchy problem in linear elasticity. Numerical implementation for two-dimensional homogeneous isotropic linear elasticity, International Journal of Solids and Structures 46(5) 957-974, 2009.
  42. L. Marin, Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations, Computational Mechanics 44(2) 205-219, 2009.
  43. C. Cobos Sanchez, R.W. Bowtell, H. Power, P. Glover, L. Marin, A.A. Becker, I.A. Jones, Forward electric field calculation using BEM for time-varying magnetic field gradients and motion in strong static fields, Engineering Analysis with Boundary Elements 33(8-9) 1074-1088, 2009.
  44. L. Marin, Boundary reconstruction in two-dimensional functionally graded materials using a regularized MFS, CMES: Computer Modeling in Engineering & Sciences 46(3) 221-253, 2009.
  45. L. Marin, An iterative MFS algorithm for the Cauchy problem associated with the Laplace equation, CMES: Computer Modeling in Engineering & Sciences 48(2) 121-153, 2009.
  46. L. Marin, A. Karageorghis, Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations, CMC: Computers, Materials & Continua 10(3) 259-293, 2009.
  47. L. Marin, An alternating iterative MFS algorithm for the Cauchy problem in two-dimensional anisotropic heat conduction, CMC: Computers, Materials & Continua 12(1) 71-100, 2009.
  48. L. Marin, A meshless method for the stable solution of singular inverse problems for two-dimensional Helmholtz-type equations, Engineering Analysis with Boundary Elements 34(3) 274-288, 2010.
  49. L. Marin, Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations, Applied Mathematical Modelling 34(6) 1615-1633, 2010.
  50. L. Marin, An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation, Computational Mechanics 45(6) 665-677, 2010.
  51. B.T. Johansson, L. Marin, Relaxation of alternating iterative algorithms for the Cauchy problem associated with the modified Helmholtz equation, CMC: Computers, Materials & Continua 13(2) 153-190, 2010.
  52. M. Mohammadi, M.R. Hematiyan, L. Marin, Boundary element analysis of nonlinear heat conduction problems involving non-homogeneous and nonlinear heat sources using time-dependent fundamental solutions, Engineering Analysis with Boundary Elements 34(7) 655-665, 2010.
  53. L. Marin, Reconstruction of boundary data in two-dimensional isotropic linear elasticity from Cauchy data using an iterative MFS algorithm, CMES: Computer Modeling in Engineering & Sciences 60(3) 221-246, 2010.
  54. L. Marin, L. Munteanu, Boundary reconstruction in two-dimensional steady state anisotropic heat conduction using a regularized meshless method, International Journal of Heat and Mass Transfer 53(25-26) 5815–5826, 2010.
  55. L. Marin, Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity, International Journal of Solids and Structures 47(24) 3326-3340, 2010.
  56. L. Marin, B.T. Johansson, Relaxation procedures for an iterative MFS algorithm for the stable reconstruction of elastic fields from Cauchy data in two-dimensional isotropic linear elasticity, International Journal of Solids and Structures 47(25-26) 3462-3479, 2010.
  57. L. Marin, Stable boundary and internal data reconstruction in two-dimensional anisotropic heat conduction Cauchy problems using relaxation procedures for an iterative MFS algorithm, CMC: Computers, Materials & Continua 17(3) 233-274, 2010.
  58. L. Marin, B.T. Johansson, A relaxation method of an alternating iterative algorithm for the Cauchy problem in linear isotropic elasticity, Computer Methods in Applied Mechanics and Engineering 199(49-52) 3179-3196, 2010.
  59. L. Marin, A. Karageorghis, D. Lesnic, The MFS for numerical boundary identification in two-dimensional harmonic problems, Engineering Analysis with Boundary Elements 35(3) 342-354, 2011.
  60. L. Marin, Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems, Engineering Analysis with Boundary Elements 35(3) 415-429, 2011.
  61. A. Karageorghis, D. Lesnic, L. Marin, A survey of applications of the MFS to inverse problems, Inverse Problems in Science and Engineering 19(3) 309-336, 2011.
  62. A. Khosravifard, M.R. Hematiyan, L. Marin, Nonlinear heat conduction transient analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method, Applied Mathematical Modelling 35(9) 4157-4174, 2011.
  63. M.R. Hematiyan, M. Mohammadi, L. Marin, A. Khosravifard, Boundary element analysis of uncoupled transient thermo-elastic problems with time- and space-dependent heat sources, Applied Mathematics and Computation 218(5) 1862–1882, 2011.
  64. L. Marin, A relaxation method of an alternating iterative MFS algorithm for the Cauchy problem associated with the two-dimensional modified Helmholtz equation, Numerical Methods for Partial Differential Equations 28(3) 899–925, 2012.
  65. A. Karageorghis, D. Lesnic, L. Marin, The method of fundamental solutions for the detection of rigid inclusions and cavities in plane linear elastic bodies, Computers & Structures 106-107 176-188, 2012.
  66. S. Khajehpour, M.R. Hematiyan, L. Marin, A domain decomposition method for the stable analysis of inverse nonlinear transient heat conduction problems, International Journal of Heat and Mass Transfer 58(1-2) 125–134, 2013.
  67. A. Karageorghis, D. Lesnic, L. Marin, A moving pseudo-boundary method of fundamental solutions for void detection, Numerical Methods for Partial Differential Equations 29(3) 935–960, 2013.
  68. A. Khosravifard, M.R. Hematiyan, L. Marin, Determination of optimal cooling conditions for continuous casting by a meshless method, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 227(5) 1022–1035, 2013.
  69. A. Karageorghis, L. Marin, Efficient MFS algorithms for problems in thermoelasticity, Journal of Scientific Computing 56(1) 96–121, 2013.
  70. L. Marin, A. Karageorghis, The MFS-MPS for two-dimensional steady-state thermoelasticity problems, Engineering Analysis with Boundary Elements 37(7-8) 1004–1020, 2013.
  71. A. Karageorghis, D. Lesnic, L. Marin, A moving pseudo-boundary MFS for three-dimensional void detection, Advances in Applied Mathematics and Mechanics 5(4) 510–527, 2013.
  72. L. Marin, A. Karageorghis, The MFS for the Cauchy problem in two-dimensional steady-state linear thermoelasticity, International Journal of Solids and Structures 50(20-21) 3387–3398, 2013.
  73. A. Karageorghis, D. Lesnic, L. Marin, Regularized Trefftz collocation method for void detection in two-dimensional steady-state heat conduction problems, Inverse Problems in Science and Engineering 22(3) 395–418, 2014.
  74. A. Karageorghis, D. Lesnic, L. Marin, The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity, Computers & Structures 135 32-39, 2014.
  75. M. Heravi, L. Marin, C. Sebu, The method of fundamental solutions for complex electrical impedance tomography, Engineering Analysis with Boundary Elements 46 126–139, 2014.
  76. A. Karageorghis, D. Lesnic, L. Marin, A moving pseudo-boundary MFS for void detection in two-dimensional thermoelasticity, International Journal of Mechanical Sciences 88 276–288, 2014.
  77. L. Marin, A. Karageorghis, D. Lesnic, 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(1) 168-201, 2015.
  78. A. Karageorghis, D. Lesnic, L. Marin, The method of fundamental solutions for solving direct and inverse Signorini problems, Computers & Structures 151 11-19, 2015.
  79. A. Karageorghis, B. Bin-Mohsin, D. Lesnic, L. Marin, Simultaneous numerical determination of a corroded boundary and its admittance, Inverse Problems in Science and Engineering 23(7) 1120-1137, 2015.
  80. L. Marin, F. Delvare, A. Cimetière, Fading regularization MFS algorithm for inverse boundary value problems in two-dimensional linear elasticity, International Journal of Solids and Structures 78-79 9-20, 2016.
  81. L. Marin, An invariant method of fundamental solutions for two-dimensional steady-state anisotropic heat conduction problems, International Journal of Heat and Mass Transfer 94 449-464, 2016.
  82. A. Karageorghis, D. Lesnic, L. Marin, The method of fundamental solutions for three-dimensional inverse geometric elasticity problems, Computers & Structures 166 51-59, 2016.
  83. L. Marin, A. Karageorghis, D. Lesnic, 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.
  84. L. Marin, C. Cipu, Non-iterative regularized MFS solution of inverse boundary value problems in linear elasticity: A numerical study, Applied Mathematics and Computation 293 265-286, 2017.
  85. L. Marin, A. Karageorghis, D. Lesnic, B.T. Johansson, The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data, Inverse Problems in Science and Engineering 25(5) 652-673, 2017.
  86. K. Van Bockstal, L. Marin, Recovery of a space-dependent vector source in anisotropic thermoelastic systems, Computer Methods in Applied Mechanics and Engineering 321 269-293, 2017.
  87. Y. Sun, L. Marin, An invariant method of fundamental solutions for two-dimensional isotropic linear elasticity, International Journal of Solids and Structures 117 191-207, 2017.
  88. A. Karageorghis, D. Lesnic, L. Marin, The MFS for the identification of a soft-sound interior acoustic scatterer, Engineering Analysis with Boundary Elements 83 107-112, 2017.
  89. A. Karageorghis, D. Lesnic, L. Marin, The plane waves method for numerical boundary identification, Advances in Applied Mathematics and Mechanics 9(6) 1312-1329, 2017.
  90. L. Caillé, F. Delvare, L. Marin, N. Michaux-Leblond, Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Helmholtz equation, International Journal of Solids and Structures 125 122-133, 2017.
  91. A. Karageorghis, D. Lesnic, L. Marin, 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 92 218-224, 2018.
  92. L. Caillé, L. Marin, F. Delvare, A meshless fading regularization algorithm for solving the Cauchy problem for the three-dimensional Helmholtz equation, Numerical Algorithms 82(3) 869-894, 2019.
  93. M. Grimmonprez, L. Marin, K. Van Bockstal, The reconstruction of a solely time-dependent load in a simply supported non-homogeneous Euler-Bernoulli beam, Applied Mathematical Modelling 79 914-933, 2020.
  94. L. Marin, Landweber-Fridman algorithms for the Cauchy problem in steady-state anisotropic heat conduction, Mathematics and Mechanics of Solids 25(6) 1340-1363, 2020.
  95. A. Karageorghis, D. Lesnic, L. Marin, The method of fundamental solutions for Brinkman flows. Part I. Exterior domains, Journal of Engineering Mathematics 126(1) Article 10, 2021.
  96. A. Karageorghis, D. Lesnic, L. Marin, The method of fundamental solutions for Brinkman flows. Part II. Interior domains, Journal of Engineering Mathematics 127(1) Article 19, 2021.
  97. A.-P. Voinea-Marinescu, L. Marin, Fading regularization MFS algorithm for the Cauchy problem in anisotropic heat conduction, Computational Mechanics 68(4) 921-941, 2021.
  98. A.-P. Voinea-Marinescu, L. Marin, F. Delvare, BEM-fading regularization algorithm for Cauchy problems in 2D anisotropic heat conduction, Numerical Algorithms 88(4) 1667-1702, 2021.
  99. K. Van Bockstal, L. Marin, Finite element method for the reconstruction of a time-dependent heat source in isotropic elasticity systems of type-III, ZAMP - Zeitschrift für angewandte Mathematik und Physik 73(3) art. no. 113, 2022.
  100. M. Bucataru, I. Cîmpean, L. Marin, A gradient-based regularization algorithm for the Cauchy problem in steady-state anisotropic heat conduction, Computers & Mathematics with Applications 119 220-240, 2022.
  101. A. Karageorghis, D. Lesnic, L. Marin, An efficient moving pseudo-boundary MFS for void detection, Engineering Analysis with Boundary Elements 147 90-111, 2023.
  102. M. Bucataru, I. Cîmpean, L. Marin, Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients, ESAIM: Mathematical Modelling and Numerical Analysis 57(2) 1029-1062, 2023.
  103. M. Bucataru, L. Marin, Accelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conduction, Numerical Algorithms 95(2) 605-636, 2024.
  104. A. Karageorghis, D. Lesnic, L. Marin, Solution of inverse geometric problems using a non-iterative MFS, Communications in Computational Physics 35(3) 553-578, 2024.
  105. M. Bucataru, L. Marin, FDM-based alternating iterative algorithms for inverse BVPs in 2D steady-state anisotropic heat conduction with heat sources, Journal of Computational and Applied Mathematics 451 art. no. 116051, 2024.
  106. L. Marin, A.T. Pantea, Boundary reconstruction in two-dimensional steady-state anisotropic heat conduction, Numerical Algorithms 2024, in press.
  107. I. Cîmpean, A. Grecu, L. Marin, Numerical spectral analysis of Cauchy-type inverse problems: A probabilistic approach, preprint, arXiv:2409.03686, submitted.
  108. L. Marin, BEM-CGM algorithms for inverse boundary value problems in 2D steady-state anisotropic heat conduction, submitted.