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L2error estimate of the finite volume element methods on quadrilateral meshes

✍ Scribed by Junliang Lv; Yonghai Li

Publisher
Springer
Year
2009
Tongue
English
Weight
451 KB
Volume
33
Category
Article
ISSN
1019-7168

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πŸ“œ SIMILAR VOLUMES

An error estimate for finite volume meth
An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes
✍ Philippe Blanc; Robert Eymard; RaphaΓ¨le Herbin πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 107 KB πŸ‘ 1 views

## Abstract We give here an error estimate for a finite volume discretization of the Stokes equations in two space dimensions on equilateral triangular meshes. This work was initiated by an analogous result presented by Alami‐Idrissi and Atounti for general triangular meshes. However, in this latte

The performance of Bank-Weiser's error e
The performance of Bank-Weiser's error estimator for quadrilateral finite elements
✍ Mark Ainsworth πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 563 KB

The error estimator proposed by Bank and Weiser is analyzed in the case of degree p finite element approximations on quadrilateral meshes. It is shown that the scheme is asymptotically exact in the energy norm for regular solutions provided that the degree of approximation is of odd order and the el