| Issue |
ESAIM: M2AN
Volume 40, Number 6, November-December 2006
|
|
|---|---|---|
| Page(s) | 1053 - 1067 | |
| DOI | https://doi.org/10.1051/m2an:2007002 | |
| Published online | 15 February 2007 | |
A second-order finite volume element method on quadrilateral meshes for elliptic equations
Department of Mathematics, Yantai University,
Yantai, 264005, P.R. China. yangmin_math@163.com
Received:
26
April
2006
Revised:
7
August
2006
Revised:
21
October
2006
In this paper, by use of affine biquadratic elements, we construct and analyze a finite volume element scheme for elliptic equations on quadrilateral meshes. The scheme is shown to be of second-order in H1-norm, provided that each quadrilateral in partition is almost a parallelogram. Numerical experiments are presented to confirm the usefulness and efficiency of the method.
Mathematics Subject Classification: 65N30 / 65N15
Key words: Finite volume element / second-order / quadrilateral meshes / error estimates.
© EDP Sciences, SMAI, 2007
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