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A second-order finite volume element methodon quadrilateralmeshes for elliptic equations

Published online by Cambridge University Press:  15 February 2007

Min Yang
Min Yang*
Affiliation:
Department of Mathematics, Yantai University, Yantai, 264005, P.R. China. [email protected]
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Abstract

In this paper, by use of affine biquadratic elements, we constructand analyze a finite volume element scheme for elliptic equations onquadrilateral meshes. The scheme is shown to be of second-order inH 1-norm, provided that each quadrilateral in partition is almosta parallelogram. Numerical experiments are presented to confirm theusefulness and efficiency of the method.

Keywords

Finite volume elementsecond-orderquadrilateral mesheserror estimates.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 40 , Issue 6 , November 2006 , pp. 1053 - 1067
Copyright
© EDP Sciences, SMAI, 2007

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