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Two-dimensional unsteady heat conduction analysis with heat generation by triple-reciprocity BEM. (English) Zbl 0985.80008
Summary: If the initial temperature is assumed to be constant, a domain integral is not needed to solve unsteady heat conduction problems without heat generation using the Boundary Element Method (BEM). However, with heat generation or a non-uniform initial temperature distribution, the domain integral is necessary. This paper demonstrates that two-dimensional problems of unsteady heat conduction with heat generation and a non-uniform initial temperature distribution can be solved approximately without the domain integral by the triple-reciprocity boundary element method. In this method, heat generation and the initial temperature distribution are interpolated using the boundary integral equation.

##### MSC:
 80M15 Boundary element methods applied to problems in thermodynamics and heat transfer
##### Keywords:
unsteady heat conduction; boundary element method
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##### References:
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