Superconvergence of finite volume methods for the second order elliptic problem

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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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 196; no. 37; pp. 3706 - 3712
Main Authors: Chou, So-Hsiang, Ye, Xiu
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 01.08.2007
Elsevier
Subjects:
Computational techniques
Exact sciences and technology
Finite volume methods
Finite-element and galerkin methods
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Mathematical methods in physics
Physics
Superconvergence
Secondary
Superconvergence
Finite volume methods
Primary
Partial differential equations
Error estimation
Finite volume methods; Superconvergence
Error bound
Galerkin-Petrov method
Elliptic equations
Qualitative chemical analysis
Variational calculus
Boundary-value problems
Modelling
65N15; 65N30; 76D07; Secondary
Incompressible fluid
Viscous fluids
35B45; 35J50
Stokes flow
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary: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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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2006.10.025