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Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems

✍ Scribed by Chou, So-Hsiang; Ye, Xiu

Book ID
118190946
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
280 KB
Volume
45
Category
Article
ISSN
0036-1429

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πŸ“œ SIMILAR VOLUMES

Superconvergence of finite volume method
Superconvergence of finite volume methods for the second order elliptic problem
✍ So-Hsiang Chou; Xiu Ye πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 213 KB

This paper derives a superconvergence result for finite volume approximations of the second order elliptic problem by using a L 2 projection post-processing technique. The superconvergence result is applicable to different kind of finite volume methods and to general quasi-uniform meshes.

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Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
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## Abstract In this article, a one parameter family of discontinuous Galerkin finite volume element methods for approximating the solution of a class of second‐order linear elliptic problems is discussed. Optimal error estimates in __L__^2^ and broken __H__^1^‐ norms are derived. Numerical results

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Error estimates for finite volume element methods for general second-order elliptic problems
✍ Haijun Wu; Ronghua Li πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 129 KB πŸ‘ 1 views

## Abstract We treat the finite volume element method (FVE) for solving general second order elliptic problems as a perturbation of the linear finite element method (FEM), and obtain the optimal __H__^1^ error estimate, __H__^1^ superconvergence and __L__^__p__^ (1 < __p__ ≀ ∞) error estimates betw