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

Marin, Liviu, Karageorghis, A, Lesnic, Daniel and Johansson, B. Tomas (2016). The method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary data. Inverse Problems in Science and Engineering, 25 (5), pp. 652-673.

Abstract

An inverse problem in static thermo-elasticity is investigated. The aim is to reconstruct the unspecified boundary data, as well as the temperature and displacement inside a body from over-specified boundary data measured on an accessible portion of its boundary. The problem is linear but ill-posed. The uniqueness of the solution is established but the continuous dependence on the input data is violated. In order to reconstruct a stable and accurate solution, the method of fundamental solutions is combined with Tikhonov regularization where the regularization parameter is selected based on the L-curve criterion. Numerical results are presented in both two and three dimensions showing the feasibility and ease of implementation of the proposed technique.

Publication DOI: https://doi.org/10.1080/17415977.2016.1191072
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Uncontrolled Keywords: Thermo-elasticity,method of fundamental solutions,inverse problem
Full Text Link: http://eprints. ... se.ac.uk/99465/
Related URLs: https://www.sco ... f362966976f1fd7 (Scopus URL)
Published Date: 2016-06-07
Published Online Date: 2016-06-07
Authors: Marin, Liviu
Karageorghis, A
Lesnic, Daniel
Johansson, B. Tomas ( 0000-0001-9066-7922)

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