The method of fundamental solutions for stationary heat conduction problems in rotationally symmetric domains
Ημερομηνία
2006ISSN
1064-8275Source
SIAM Journal on Scientific ComputingVolume
27Issue
4Pages
1493-1512Google Scholar check
Keyword(s):
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
We propose an efficient boundary collocation method for the solution of certain two- and three-dimensional problems of steady-state heat conduction in Isotropie bimaterials. In particular, in two dimensions we consider the case where a circular region composed of one material is coated with an annular region of another material. In three dimensions, we examine the corresponding case for axisymmetric domains. The proposed method involves the use of a domain decomposition technique in conjunction with a matrix decomposition algorithm. The circulant structure of the matrices appearing in this method is exploited by using fast Fourier transforms. The method is tested numerically on several problems. © 2006 Society for Industrial and Applied Mathematics.