A Second-order Finite Volume Element Method on Quadrilateral Meshes for Elliptic Equations
نویسندگان
چکیده
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 H-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. Received: April 26, 2006. Revised: August 7, and October 21, 2006.
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