The Method of Fundamental Solutions for Inverse Problems Associated with the Steady-State Heat Conduction in the Presence of Sources
作者： Liviu Marin
DOI: 10.3970/CMES.2008.030.099
关键词:
摘要: The application of the method fundamental solutions (MFS) to inverse bound- ary value problems associated with steady- state heat conduction in isotropic media presence sources, i.e. Poisson equation, is investigated this paper. Based on ap- proach Alves and Chen (2005), these are solved two steps, namely by finding first an approximate particular solution equation then numerical resulting boundary problem for Laplace equation. MFS discretised system equations ill-conditioned hence it employing singular de- composition (SVD), whilst choice op- timal truncation number, which regulariza- tionparameter inthiscase, isbasedon theL-curve criterion. Three examples smooth piece- wise smooth, simply doubly connected, two- dimensional domains considered con- vergence stability proposed analysed, based ex- periments undertaken. Keyword: Meshless method, funda- mental solutions,steady-stateheat conduction,in- verse problem, regularization,
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