Paper Info
Title
The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains
Abstract
We propose an efficient boundary collocation method for the solution of certain two- and three-dimensional problems of steady-state heat conduction in isotropic 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.
Year
DOI
Venue
2006
10.1137/040615213
SIAM J. Scientific Computing
Keywords
Field
DocType
corresponding case,heat conduction in layered materials,circular region,laplace equation,circulant structure,annular region,matrix decomposition algorithm,stationary heat conduction problems,domain decomposition technique,rotationally symmetric domains,axisymmetric domain,fundamental solutions,fast fourier,axisymmetric domains,efficient boundary collocation method,method of fundamental solutions,thermal conductivity,matrix decomposition,satisfiability,two dimensions,three dimensional,three dimensions,heat conduction,collocation method,fast fourier transform,domain decomposition
Boundary value problem,Matrix (mathematics),Mathematical analysis,Matrix decomposition,Method of fundamental solutions,Numerical analysis,Partial differential equation,Collocation method,Mathematics,Domain decomposition methods
Journal
Volume
Issue
ISSN
27
4
1064-8275
Citations 
PageRank 
References 
2
0.54
3
Authors
2
Name
Order
Citations
PageRank
Yiorgos-Sokratis Smyrlis1418.44
Andreas Karageorghis220447.54