A meshless method for the stable solution of singular inverse problems for two-dimensional Helmholtz-type equations

DOI10.1016/j.enganabound.2009.03.009zbMath1244.65164OpenAlexW2152690983MaRDI QIDQ441573

Liviu Marin

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.03.009

zbMATH Keywords

regularizationmethod of fundamental solutions (MFS)Helmholtz-type equationssingular inverse problemssingularity subtraction technique (SST)

Mathematics Subject Classification ID

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)

A meshless method to the solution of an ill-posed problem ⋮ Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials ⋮ A meshless method for solving 1D time-dependent heat source problem ⋮ A wavelet method for the Cauchy problem for the Helmholtz equation ⋮ The method of fundamental solutions for complex electrical impedance tomography ⋮ The MFS-MPS for two-dimensional steady-state thermoelasticity problems ⋮ A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics ⋮ A survey of applications of the MFS to inverse problems ⋮ Numerical solution of non-Newtonian fluid flow and heat transfer problems in ducts with sharp corners by the modified method of fundamental solutions and radial basis function collocation

Uses Software

• Regularization tools
• SERBA
• UTV

Cites Work

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