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Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type

✍ Scribed by O. Pironneau; M. Tabata

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 353 KB
Volume: 64
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.2459

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✦ Synopsis

Abstract

A Galerkin‐characteristics finite element scheme of lumped mass type is presented for the convection–diffusion problems. Under the weakly acute triangulation hypothesis the scheme is proved to be stable and convergent in the L^∞^‐norm. Using the Freefem, we show 2D and 3D numerical examples, which reflect the robustness of the scheme and the theoretical convergence result. Copyright © 2010 John Wiley & Sons, Ltd.

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