Regularized solutions with a singular point for the inverse biharmonic boundary value problem by the method of fundamental solutions

DOI10.1016/j.enganabound.2011.02.002zbMath1259.76055OpenAlexW2034782169MaRDI QIDQ1944549

Yanyan Li

Publication date: 25 March 2013

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

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/242462/-1/120.pdf

zbMATH Keywords

inverse problemCauchy problembiharmonic equationsingular pointTikhonov regularizationtruncated singular value decompositionmethod of fundamental solutionsgeneralized cross-validationL-curvemethod of particular solutions

Mathematics Subject Classification ID

Related Items (5)

Meshless singular boundary methods for biharmonic problems ⋮ Invertibility criteria for the biharmonic single-layer potential ⋮ Degenerate scales for thin elastic plates with Dirichlet boundary conditions ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ On an ill-posed problem for a biharmonic equation

Uses Software

• Regularization tools
• SERBA

Cites Work

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• Method of fundamental solutions: singular value decomposition analysis
• The method of fundamental solutions for solving a Cauchy problem of Laplace's equation in a multi-connected domain

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