Details
| Original language | English |
|---|---|
| Pages (from-to) | 255-260 |
| Number of pages | 6 |
| Journal | Computational materials science |
| Volume | 21 |
| Issue number | 2 |
| Publication status | Published - 4 Aug 2001 |
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.
Keywords
- Diffusion-reaction equation, Discrete transformations, Spurious oscillations
ASJC Scopus subject areas
- Computer Science(all)
- General Computer Science
- Chemistry(all)
- General Chemistry
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Computational Mathematics
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In: Computational materials science, Vol. 21, No. 2, 04.08.2001, p. 255-260.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A Petrov-Galerkin transformation that eliminates spurious oscillations for heterogeneous diffusion-reaction equations
AU - Zohdi, T. I.
AU - Wriggers, Peter
PY - 2001/8/4
Y1 - 2001/8/4
N2 - 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.
AB - 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.
KW - Diffusion-reaction equation
KW - Discrete transformations
KW - Spurious oscillations
UR - http://www.scopus.com/inward/record.url?scp=0034899852&partnerID=8YFLogxK
U2 - 10.1016/S0927-0256(01)00147-1
DO - 10.1016/S0927-0256(01)00147-1
M3 - Article
AN - SCOPUS:0034899852
VL - 21
SP - 255
EP - 260
JO - Computational materials science
JF - Computational materials science
SN - 0927-0256
IS - 2
ER -