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The method of fundamental solutions for heat conduction in layered materials
Author(s) -
Berger J. R.,
Karageorghis Andreas
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990820)45:11<1681::aid-nme649>3.0.co;2-t
Subject(s) - isotropy , thermal conduction , planar , domain decomposition methods , domain (mathematical analysis) , interface (matter) , anisotropy , method of fundamental solutions , computer science , decomposition , mathematics , mathematical analysis , materials science , physics , thermodynamics , chemistry , finite element method , composite material , optics , boundary element method , singular boundary method , computer graphics (images) , organic chemistry , bubble , maximum bubble pressure method , parallel computing
In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two‐dimensional 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 modified fundamental solutions are employed. The modified 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 modified fundamental solutions cannot be used. Copyright © 1999 John Wiley & Sons, Ltd.