THE METHOD OF FUNDAMENTAL SOLUTIONS FOR AN INVERSE INTERNAL BOUNDARY VALUE PROBLEM FOR THE BIHARMONIC EQUATION

DOI10.1142/S0219876209001991zbMath1267.65171OpenAlexW1987695278MaRDI QIDQ2837939

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Publication date: 8 July 2013

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876209001991

zbMATH Keywords

inverse problemregularizationbiharmonic equation\(L\)-curvemethod of fundamental solutions

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 (13)

A local meshless collocation method for solving certain inverse problems ⋮ Numerical Reconstruction of Potentials Based on a Sequence of Inverse Sturm–Liouville Problems ⋮ An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems ⋮ Regularized solution of an ill-posed biharmonic equation ⋮ A survey of applications of the MFS to inverse problems ⋮ An approximate solution for a nonlinear biharmonic equation with discrete random data ⋮ Regularized solution of the Cauchy problem for the biharmonic equation ⋮ Inverse identification of time-harmonic loads acting on thin plates using approximated Green’s functions ⋮ Numerical Study of Inverse Source Problem for Internal Degenerate Parabolic Equation ⋮ Modified nonlocal boundary value problem method for an ill-posed problem for the biharmonic equation ⋮ Regularized solution for a biharmonic equation with discrete data ⋮ On an ill-posed problem for a biharmonic equation

Cites Work

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