Stabilized semi-implicit finite volume scheme for parabolic tensor diffusion equations

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Angela Handlovičová Pavol Kútik Karol Mikula

Abstract

We introduce a new stabilized nite volume method for solving tensor diusion equations. The new scheme is based on the classical diamond-cell nite volume method and on the idea of in ow-implicit/out ow-explicit (or forward-backward diusion) splitting accompanied by a suitable stabilization. Comparisons with known exact solution and numerical experiments investigating stability of the proposed method in case of highly anisotropic diusion tensor are discussed.

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How to Cite
HANDLOVIČOVÁ, Angela; KÚTIK, Pavol; MIKULA, Karol. Stabilized semi-implicit finite volume scheme for parabolic tensor diffusion equations. Proceedings of the Conference Algoritmy, [S.l.], p. 438-447, nov. 2015. Available at: <http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/354>. Date accessed: 17 oct. 2017.
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