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Superconvergence of finite volume methods for the second order elliptic problem

✍ Scribed by So-Hsiang Chou; Xiu Ye

Book ID
104013361
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
213 KB
Volume
196
Category
Article
ISSN
0045-7825

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Discontinuous Galerkin finite volume ele
Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
✍ Sarvesh Kumar; Neela Nataraj; Amiya K. Pani πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 191 KB

## 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