The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data

DOI10.1080/17415977.2016.1191072zbMath1369.65135OpenAlexW2407159837WikidataQ59890625 ScholiaQ59890625MaRDI QIDQ5348701

B. Tomas Johansson, Daniel Lesnic, Andreas Karageorghis, Liviu Marin

Publication date: 18 August 2017

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

Full work available at URL: http://eprints.whiterose.ac.uk/99465/1/kaya.pdf

zbMATH Keywords

inverse problemmethod of fundamental solutionsthermo-elasticity

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Thermal effects in solid mechanics (74F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

A new boundary-type meshfree method with RBFI for 2D thermo-elastic problems ⋮ An inverse elastodynamic data reconstruction problem ⋮ An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation

Cites Work

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• Efficient determination of multiple regularization parameters in a generalized L-curve framework
• An Inverse Transient Thermoelastic Problem for a Transversely-Isotropic Body
• The stability for the Cauchy problem for elliptic equations
• Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion
• The inverse problem of coupled thermo-elasticity
• Boundary element analysis in thermoelasticity with and without internal cells
• Linear and Nonlinear Inverse Problems with Practical Applications
• A numerical study of the SVD–MFS solution of inverse boundary value problems in two‐dimensional steady‐state linear thermoelasticity
• Discrete Inverse Problems

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