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Two-dimensional unsteady heat conduction analysis by improved multiple-reciprocity boundary element method. (English) Zbl 0867.65051
Ertekin, R. C. (ed.) et al., Boundary element technology XI. BETECH 96, 11th international conference, Univ. of Hawaii, USA, April 1996. Southampton: Computational Mechanics Publications. 73-82 (1996).
Summary: If the initial temperature is assumed to be constant, the boundary element method does not need a domain integral in unsteady heat conduction problems without heat generation. However, under heat generation or nonuniform initial temperature distribution, the domain integral is necessary. This paper shows that the two-dimensional problems of unsteady heat conduction with heat generation and initial temperature can approximately be solved without the domain integral by the improved multiple-reciprocity boundary element method. In this method, the domain integral in each step is divided into point, line and area integrals.
For the entire collection see [Zbl 0857.00032].

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation