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
Mots-clés : finite volume element, second-order, quadrilateral meshes, error estimates
@article{M2AN_2006__40_6_1053_0, author = {Yang, Min}, title = {A second-order finite volume element method on quadrilateral meshes for elliptic equations}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {1053--1067}, publisher = {EDP-Sciences}, volume = {40}, number = {6}, year = {2006}, doi = {10.1051/m2an:2007002}, mrnumber = {2297104}, zbl = {1141.65081}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2007002/} }
TY - JOUR AU - Yang, Min TI - A second-order finite volume element method on quadrilateral meshes for elliptic equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2006 SP - 1053 EP - 1067 VL - 40 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2007002/ DO - 10.1051/m2an:2007002 LA - en ID - M2AN_2006__40_6_1053_0 ER -
%0 Journal Article %A Yang, Min %T A second-order finite volume element method on quadrilateral meshes for elliptic equations %J ESAIM: Modélisation mathématique et analyse numérique %D 2006 %P 1053-1067 %V 40 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2007002/ %R 10.1051/m2an:2007002 %G en %F M2AN_2006__40_6_1053_0
Yang, Min. A second-order finite volume element method on quadrilateral meshes for elliptic equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 40 (2006) no. 6, pp. 1053-1067. doi : 10.1051/m2an:2007002. http://www.numdam.org/articles/10.1051/m2an:2007002/
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