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The method of fundamental solutions for heat conduction in layered materials

✍ Scribed by J. R. Berger; Andreas Karageorghis

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 108 KB
Volume: 45
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990820)45:11<1681::aid-nme649>3.0.co;2-t

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✦ Synopsis

In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to twodimensional problems of steady-state heat conduction in isotropic and anisotropic bimaterials. Two approaches are used: a domain decomposition technique and a single-domain approach in which modiÿed fundamental solutions are employed. The modiÿed fundamental solutions satisfy the interface continuity conditions automatically for planar interfaces. The two approaches are tested and compared on several test problems and their relative merits and disadvantages discussed. Finally, we use the domain decomposition approach to investigate bimaterial problems where the interface is non-planar and the modiÿed fundamental solutions cannot be used.

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