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The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions.

Abstract:

The subject of this work is the analysis and implementation of stabilized finite element methods on anisotropic meshes. We develop the anisotropic a priori error analysis of the residual-free-bubble (RFB) method applied to elliptic convection-dominated convection-diffusion problems in two dimensions, with finite element spaces of type Qk., k ≥ 1. In the case of P1 finite elements, relying on the equivalence of the RFB method to classical stabilized finite element methods, we propose a new rul...

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Publication status:
Published

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Publisher copy:
10.1137/060658011

Authors


Journal:
SIAM J. Numerical Analysis
Volume:
45
Issue:
4
Pages:
1654-1678
Publication date:
2007-01-01
DOI:
EISSN:
1095-7170
ISSN:
0036-1429
URN:
uuid:051994cc-c9f3-44d1-99ba-1349c9115f71
Source identifiers:
187700
Local pid:
pubs:187700

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