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

DOI10.1080/17415970903115886zbMath1178.65134OpenAlexW2055139255MaRDI QIDQ3647597

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Publication date: 23 November 2009

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970903115886

zbMATH Keywords

stabilityconvergencenumerical resultsLaplace equationTikhonov regularizationmethod of fundamental solutionsinverse boundary problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (9)

Simultaneous numerical determination of a corroded boundary and its admittance ⋮ An adaptive greedy technique for inverse boundary determination problem ⋮ Boundary reconstruction in two-dimensional steady state anisotropic heat conduction using a regularized meshless method ⋮ Analysis of two-dimensional heat transfer problem using the boundary integral equation ⋮ The MFS for numerical boundary identification in two-dimensional harmonic problems ⋮ On numerical experiments for Cauchy problems of elliptic operators ⋮ A modification of the method of fundamental solutions for solving 2D problems with concave and complicated domains ⋮ A survey of applications of the MFS to inverse problems ⋮ Flaw identification for Laplace equation using the linear sampling method

Uses Software

• Regularization tools

Cites Work

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