A second-order finite volume element method on quadrilateral meshes for elliptic equations
Department of Mathematics, Yantai University,
Yantai, 264005, P.R. China. firstname.lastname@example.org
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