The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
Karageorghis, A, Lesnic, D and Marin, L
(2014)
The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity.
Computers and Structures, 135.
32 - 39.
ISSN 0045-7949
Abstract
The inverse problem of coupled static thermo-elasticity in which one has to determine the thermo-elastic stress state in a body from displacements and temperature given on a subset of the boundary is considered. A regularized method of fundamental solutions is employed in order to find a stable numerical solution to this ill-posed, but linear coupled inverse problem. The choice of the regularization parameter is based on the L-curve criterion. Numerical results are presented and discussed.
Metadata
Authors/Creators:
Karageorghis, A
Lesnic, D
Marin, L
Copyright, Publisher and Additional Information:
(c) 2014 Elsevier Ltd. Uploaded in accordance with the publisher's self-archiving policy. NOTICE: this is the author’s version of a work that was accepted for publication in Computers and Structures. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers and Structures, 135, (2014) DOI 10.1016/j.compstruc.2014.01.007
Keywords:
Inverse problem; Method of fundamental solutions; Thermo-elasticity
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