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Inverse Problems in Science and Engineering Volume 17, 2009 - Issue 8
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Original Articles

Reconstruction of part of a boundary for the Laplace equation by using a regularized method of fundamental solutions

F.L. YangSchool of Mathematics and Statistics, Lanzhou University, P. R. China
,
L. YanSchool of Mathematics and Statistics, Lanzhou University, P. R. China
&
T. WeiSchool of Mathematics and Statistics, Lanzhou University, P. R. China
Pages 1113-1128 | Received 21 Sep 2008, Accepted 02 Jun 2009, Published online: 14 Oct 2009

Citations (11)

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Read on this site (3)

A. Karageorghis, B. Bin-Mohsin, D. Lesnic & L. Marin. (2015) Simultaneous numerical determination of a corroded boundary and its admittance. Inverse Problems in Science and Engineering 23:7, pages 1120-1137.
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F.S. Lobato, V. Steffen Jr & A.J. Silva Neto. (2012) Estimation of space-dependent single scattering albedo in a radiative transfer problem using differential evolution. Inverse Problems in Science and Engineering 20:7, pages 1043-1055.
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A. Karageorghis, D. Lesnic & L. Marin. (2011) A survey of applications of the MFS to inverse problems. Inverse Problems in Science and Engineering 19:3, pages 309-336.
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Articles from other publishers (8)

Nimona Ketema Kebeba & Gizaw Debito Haifo. (2022) Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation. Advances in Mathematical Physics 2022, pages 1-7.
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N. Koochak Dezfouli, M.R. Hematiyan & M. Mohammadi. (2021) A modification of the method of fundamental solutions for solving 2D problems with concave and complicated domains. Engineering Analysis with Boundary Elements 123, pages 168-181.
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SH Dehghan Manshadi, SM Dehghan Manshadi, HR Amiri & S Hamzehei Javaran. (2017) Flaw identification for Laplace equation using the linear sampling method. Mathematics and Mechanics of Solids 23:8, pages 1225-1236.
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J. A. KOŁODZIEJ & M. MIERZWICZAK. (2013) APPLICATION OF THE METHOD OF FUNDAMENTAL SOLUTIONS FOR THE INVERSE PROBLEM OF DETERMINATION OF THE BIOT NUMBER. International Journal of Computational Methods 10:02, pages 1341002.
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F.L. Yang & Leevan Ling. (2011) On numerical experiments for Cauchy problems of elliptic operators. Engineering Analysis with Boundary Elements 35:7, pages 879-882.
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Liviu Marin, Andreas Karageorghis & Daniel Lesnic. (2011) The MFS for numerical boundary identification in two-dimensional harmonic problems. Engineering Analysis with Boundary Elements 35:3, pages 342-354.
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Liviu Marin & Ligia Munteanu. (2010) 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, pages 5815-5826.
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F.L. Yang, L. Ling & T. Wei. (2010) An adaptive greedy technique for inverse boundary determination problem. Journal of Computational Physics 229:22, pages 8484-8496.
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