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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Podrobná bibliografia
Vydané v:	Computer methods in applied mechanics and engineering Ročník 196; číslo 37; s. 3706 - 3712
Hlavní autori:	Chou, So-Hsiang, Ye, Xiu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.08.2007 Elsevier
Predmet:	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
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Popis
Shrnutí:	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.
Bibliografia:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0045-7825 1879-2138
DOI:	10.1016/j.cma.2006.10.025