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A second-order finite volume element method on quadrilateral meshes for elliptic equations
2006
Mathematical Modelling and Numerical Analysis
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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 1 -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.
doi:10.1051/m2an:2007002
fatcat:nf7d42nhajfbtjd7kkq7qtfnqi