Error estimation of a quadratic finite volume method on right quadrangular prism grids

In this paper, we develop a finite volume element method with affine quadratic bases on right quadrangular prism meshes for three-dimensional elliptic boundary value problems. The optimal H 1 -norm error estimate of second order accuracy is proved under certain assumptions about the meshes. Numerica...

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 229; no. 1; pp. 274 - 282
Main Authors Yang, Min, Liu, Jiangguo, Chen, Chuanjun
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier B.V 01.07.2009
Elsevier
Subjects
Elliptic problems
Error estimates
Exact sciences and technology
Finite volume element methods
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Quadratic bases
Right quadrangular prism meshes
Sciences and techniques of general use
Second order accuracy
Right quadrangular prism meshes
65N12
Error estimates
Second order accuracy
Elliptic problems
Quadratic bases
Finite volume element methods
65N30
Three-dimensional calculations
Grid pattern
Error estimation
Finite volume method
Optimal estimation
Partial differential equation
Finite element method
Numerical analysis
Elliptic equation
Boundary value problem
Applied mathematics
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Summary:In this paper, we develop a finite volume element method with affine quadratic bases on right quadrangular prism meshes for three-dimensional elliptic boundary value problems. The optimal H 1 -norm error estimate of second order accuracy is proved under certain assumptions about the meshes. Numerical results are presented to illustrate the theoretical analysis.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2008.10.036