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Liviu Marin

University of Bucharest, Faculty of Mathematics and Computer Science, Bucharest, Romania

Institution web page: http://fmi.unibuc.ro/ro/scoala_doctorala_mate/liviu_marin
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Born: 1969

Interests: Computational mechanics, inverse problems, boundary element methods, boundary integral equations, meshless methods, regularization methods

Details:
Education:
1989-1994: B.Sc. in Mathematics-Mechanics, Faculty of Mathematics and Computer Science, University of Bucharest, Romania

1994-1995: M.Sc. (Diploma for Advanced Studies) in Continuum Mechanics, Faculty of Mathematics and Computer Science, University of Bucharest, Romania

1996-1998: M.Sc. in Mathematics for Industry, Department of Applied Mathematics, University of Kaiserslautern, Germany

1999-2002: Ph.D. in Applied Mathematics, Department of Applied Mathematics, University of Leeds, UK


Employment History:
1994-1998: Research Assistant, National Institute for Research and Development in Microtechnologies, Romania

2002-2005: Research Fellow, University of Leeds, School of Earth & Environment, Environment Centre, UK

2005-2007: Research Fellow, University of Nottingham, School of Mechanical, Materials and Manufacturing Engineering, UK

2008-2009: Senior Research Fellow III (CS III), Institute of Solid Mechanics, Romanian Academy, Romania

2009-present: Senior Research Fellow II (CS II), Centre for Continuum Mechanics, Faculty of Mathematics and Computer Science, University of Bucharest, Romania

2010-present: Senior Research Fellow II (CS II), Institute of Solid Mechanics, Romanian Academy, Romania


Referee for International Journals:
1. Advances in Applied Mathematics and Mechanics (Global Science Press)
2. Applied Mathematical Modelling (Elsevier)
3. Applied Mathematics and Computation (Elsevier)
4. Applied Numerical Mathematics (Elsevier)
5. Bulletin of Mathematical Analysis and Applications
6. Computational Mechanics (Springer)
7. Computer Methods in Applied Mechanics and Engineering (Elsevier)
8. Computers & Mathematics with Applications (Elsevier)
9. CMES: Computer Modeling in Engineering & Sciences (Tech Science Press)
10. Computer Physics Communications (Elsevier)
11. Engineering Analysis with Boundary Elements (Elsevier)
12. IEEE Transactions on Biomedical Engineering (IEEE Engineering in Medicine and Biology Society)
13. International Journal for Numerical Methods in Engineering (John Willey & Sons)
14. International Journal of Computer Mathematics (Taylor & Francis)
15. International Journal of Heat and Mass Transfer (Elsevier)
16. International Journal of Solids and Structures (Elsevier)
17. International Journal of Thermal Sciences (Elsevier)
18. Inverse Problems in Science and Engineering (Taylor & Francis)
19. Journal of Applied Mathematics and Computing (Springer)
20. Journal of Computational and Applied Mathematics (Elsevier)
21. Journal of Computational Mathematics (Global Science Press)
22. Journal of Computational Physics (Elsevier)
23. Journal of Engineering Mathematics (Springer)
24. Journal of King Saud University (Science) (Elsevier)
25. Journal of Optimization Theory and Applications (Springer)
26. Journal of Zhejiang University – SCIENCE A (Springer)
27. Numerical Algorithms (Springer)
28. Numerical Heat Transfer (Taylor & Francis)
29. Numerical Methods for Partial Differential Equations (John Willey & Sons)
30. Structural Engineering and Mechanics (Techno Press)


On the International Editorial Board of:
1. Engineering Analysis with Boundary Elements

Selected publications:
• 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, pp. 176-188, 2012.
• 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 Equation, 28(3), p. 899–925, 2012.
• 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), pp. 1862-1882, 2011.
• 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), pp. 4157-4174, 2011.
• A. Karageorghis, D. Lesnic, L. Marin. A survey of applications of the MFS to inverse problems. Inverse Problems in Science and Engineering, 19(3), pp. 309-336, 2011.
• 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), pp. 415-429, 2011.
• L. Marin, A. Karageorghis, D. Lesnic. The MFS for numerical boundary identification in two-dimensional harmonic problems. Engineering Analysis with Boundary Elements, 35(3), pp. 342-354, 2011.
• 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), pp. 3179-3196, 2010.
• 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), pp. 233-274, 2010.
• 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), pp. 3462-3479, 2010.
• L. Marin. Regularized method of fundamental solutions for boundary identification in two-dimensional isotropic linear elasticity. International Journal of Solids and Structures, 47(24), pp. 3326-3340, 2010.
• 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), p. 5815–5826, 2010.
• 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), pp. 221-246, 2010.
• 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), pp. 655-665, 2010.
• 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), pp. 153-190, 2010.
• L. Marin. An alternating iterative MFS algorithm for the Cauchy problem for the modified Helmholtz equation. Computational Mechanics, 45(6), pp. 665-677, 2010.
• L. Marin. Treatment of singularities in the method of fundamental solutions for two-dimensional Helmholtz-type equations. Applied Mathematical Modelling, 34(6), pp. 1615-1633, 2010.
• 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), pp. 274-288, 2010.
• L. Marin. An alternating iterative MFS algorithm for the Cauchy problem in two-dimensional anisotropic heat conduction. CMC: Computers, Materials & Continua, 12(1), pp. 71-100, 2009.
• L. Marin, A. Karageorghis. Regularized MFS-based boundary identification in two-dimensional Helmholtz-type equations. CMC: Computers, Materials & Continua, 10(3), pp. 259-293, 2009.
• L. Marin. An iterative MFS algorithm for the Cauchy problem associated with the Laplace equation. CMES: Computer Modeling in Engineering & Sciences, 48(2), pp. 121-153, 2009.
• L. Marin. Boundary reconstruction in two-dimensional functionally graded materials using a regularized MFS. CMES: Computer Modeling in Engineering & Sciences, 46(3), pp. 221-253, 2009.
• 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), pp. 1074-1088, 2009.
• L. Marin. Boundary element-minimal error method for the Cauchy problem associated with Helmholtz-type equations. Computational Mechanics, 44(2), pp. 205-219, 2009.
• 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), pp. 957-974, 2009.
• 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), pp. 203-242, 2008.
• 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), pp. 99-122, 2008.
• 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), pp. 658-675, 2008.
• H. Power, L. Marin . Application of the BEM to electromagnetic problems. Engineering Analysis with Boundary Elements, 32(8), pp. 619-620, 2008.
• B. Jin, L. Marin. The plane wave method for inverse problems associated with Helmholtz-type equations. Engineering Analysis with Boundary Elements, 32(3), pp. 223-240, 2008.
• 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), pp. 149-174, 2008.
• L. Marin, D. Lesnic. The method of fundamental solutions for nonlinear functionally graded materials. International Journal of Solids and Structures, 44(21), pp. 6878-6890, 2007.
• L. Comino, L. Marin, R. Gallego. An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity. Engineering Analysis with Boundary Elements, 31(8), pp. 667-682, 2007.
• B. Jin, L. Marin. The method of fundamental solutions for inverse source problems associated with steady-state heat conduction. International Journal for Numerical Methods in Engineering, 69(8), pp. 1570-1589, 2007.
• T. Johansson, L. Marin. A procedure for the temperature reconstruction in corner domains from Cauchy data. Inverse Problems, 23(1), pp. 357-372, 2007.
• 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), pp. 837-858, 2006.
• 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) , pp. 315-344, 2006.
• L. Marin. Numerical boundary identification for Helmholtz-type equations. Computational Mechanics, 39(1), pp. 25-40, 2006.
• 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), pp. 89-105, 2006.
• 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), pp. 1865-1891, 2006.
• 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), pp. 261-278, 2005.
• 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), pp. 4338-4351, 2005.
• L. Marin. A meshless method for solving the Cauchy problem in three-dimensional elastostatics. Computers & Mathematics With Applications, 50(1-2), pp. 73-92, 2005.
• L. Marin. Detection of cavities in Helmholtz-type equations using the boundary element method. Computer Methods in Applied Mechanics and Engineering, 194(36-38), pp. 4006-4023, 2005.
• 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), pp. 3018-3033, 2005.
• 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), pp. 355-374, 2005.
• L. Marin, D. Lesnic. Boundary element-Landweber method for the Cauchy problem in linear elasticity. IMA Journal of Applied Mathematics, 70(2), pp. 323-340, 2005.
• 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) , pp. 267-278, 2005.
• L. Marin, D. Lesnic, V. Mantic. Treatment of singularities in Helmholtz-type equations using the boundary element method. Journal of Sound and Vibration, 278(1-2), pp. 39-62, 2004.
• 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), pp. 1025-1034, 2004.
• 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), pp. 1933-1947, 2004.
• 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), pp. 3425-3438, 2004.
• 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), pp. 1321-1339, 2004.
• 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), pp. 413-419, 2004.
• 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), pp. 221-233, 2004.
• 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), pp. 367-377, 2003.
• 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), pp. 293-300, 2003.
• 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), pp. 2059-2071, 2003.
• 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), pp. 709-722, 2003.
• 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), pp. 335-357, 2002.
• 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), pp. 479-488, 2002.
• 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), pp. 3257-3270, 2002.
• 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), pp. 817-825, 2002.
• 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), pp. 227-247, 2002.
• 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), pp. 783-793, 2001.


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