2006
DOI: 10.1137/040615213
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The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains

Abstract: 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… Show more

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Cited by 8 publications
(3 citation statements)
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“…Moreover, this bound might suggest that the convergence is faster for large values of R, that is, choosing the artificial boundary, where we place the source points, far from the boundary. However, under similar assumptions we know that the condition number also increases exponentially ( [31,39]),…”
Section: The Classical Mfsmentioning
confidence: 89%
“…Moreover, this bound might suggest that the convergence is faster for large values of R, that is, choosing the artificial boundary, where we place the source points, far from the boundary. However, under similar assumptions we know that the condition number also increases exponentially ( [31,39]),…”
Section: The Classical Mfsmentioning
confidence: 89%
“…MDAs have also been used in applications of the method of fundamental solutions (MFS) for the solution of certain harmonic and biharmonic axisymmetric problems [92,181,182,191] and axisymmetric problems in linear elasticity and thermoelasticity [126,127]. As an example, we describe the MFS MDA proposed in [181] for the three-dimensional axisymmetric potential problem,…”
Section: The Methods Of Fundamental Solutions and Related Techniquesmentioning
confidence: 98%
“…An overview of such algorithms is given in a survey article by Bialecki and Fairweather [3] (see also [33,35]). 2 A square matrix A is circulant (see [8]) if it has the form…”
Section: Matrix Decomposition Algorithmmentioning
confidence: 99%