Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions

DOI10.1016/j.matcom.2012.02.002zbMath1246.65213OpenAlexW2008184491MaRDI QIDQ449662

Bandar Bin-Mohsin, Daniel Lesnic

Publication date: 31 August 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.02.002

zbMATH Keywords

inverse problemregularisationmethod of fundamental solutionsmodified Helmholtz's equation

Mathematics Subject Classification ID

Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items

Efficient numerical methods for boundary data and right‐hand side reconstructions in elliptic partial differential equations ⋮ Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions ⋮ Inverse shape and surface heat transfer coefficient identification ⋮ A modification of the method of fundamental solutions for solving 2D problems with concave and complicated domains ⋮ A Two-Constraint Method for Appropriate Determination of the Configuration of Source and Collocation Points in the Method of Fundamental Solutions for 2D Laplace Equation ⋮ Reconstruction of a source domain from boundary measurements ⋮ The method of fundamental solutions for Brinkman flows. II: Interior domains ⋮ Numerical reconstruction of an inhomogeneity in an elliptic equation ⋮ Reconstruction algorithms of an inverse geometric problem for the modified Helmholtz equation

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