# A second-order finite volume element method on quadrilateral meshes for elliptic equations

- Volume: 40, Issue: 6, page 1053-1067
- ISSN: 0764-583X

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topYang, Min. "A second-order finite volume element method on quadrilateral meshes for elliptic equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 40.6 (2006): 1053-1067. <http://eudml.org/doc/245235>.

@article{Yang2006,

abstract = {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.},

author = {Yang, Min},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {finite volume element; second-order; quadrilateral meshes; error estimates; mixed finite element finite volume method; elliptic problem; convergence; a priori error estimates},

language = {eng},

number = {6},

pages = {1053-1067},

publisher = {EDP-Sciences},

title = {A second-order finite volume element method on quadrilateral meshes for elliptic equations},

url = {http://eudml.org/doc/245235},

volume = {40},

year = {2006},

}

TY - JOUR

AU - Yang, Min

TI - A second-order finite volume element method on quadrilateral meshes for elliptic equations

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2006

PB - EDP-Sciences

VL - 40

IS - 6

SP - 1053

EP - 1067

AB - 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.

LA - eng

KW - finite volume element; second-order; quadrilateral meshes; error estimates; mixed finite element finite volume method; elliptic problem; convergence; a priori error estimates

UR - http://eudml.org/doc/245235

ER -

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