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Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes

โœ Scribed by F. Hermeline

Book ID
104267207
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
640 KB
Volume
192
Category
Article
ISSN
0045-7825

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โœฆ Synopsis

A new finite volume method is presented for discretizing diffusion operators with discontinuous tensor coefficients. The main advantage of this method is that arbitrary distorted meshes can be used without the numerical results being altered. The matrices that need to be inverted are positive definite, so the most powerful linear solvers can be applied. Moreover the numerical experiments show that the method is second-order accurate. The method has been tested on a few elliptic and parabolic equations.

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