A Petrov-Galerkin transformation that eliminates spurious oscillations for heterogeneous diffusion-reaction equations

authored by

T. I. Zohdi, Peter Wriggers

Abstract

In this paper a transformation technique is developed for diffusion-reaction equations of autocatalytic type, which possess spatially variable coefficients, that removes the possibility of spurious oscillations when using a backward Euler time discretization with large time steps. The approach can be considered as a construction of "special shape functions" yielding a stable Petrov-Galerkin type approximation.

Organisation(s)

Institute of Mechanics and Computational Mechanics

Type

Article

Journal

Computational materials science

Volume

21

Pages

255-260

No. of pages

6

ISSN

0927-0256

Publication date

04.08.2001

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Computer Science, General Chemistry, General Materials Science, Mechanics of Materials, General Physics and Astronomy, Computational Mathematics

Electronic version(s)

https://doi.org/10.1016/S0927-0256(01)00147-1 (Access: Unknown)

 

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