Voir la notice de l'article provenant de la source Numdam
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 -norm, provided that each quadrilateral in partition is almost a parallelogram. Numerical experiments are presented to confirm the usefulness and efficiency of the method.
@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: Mathematical Modelling and Numerical Analysis },
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://geodesic.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis PY - 2006 SP - 1053 EP - 1067 VL - 40 IS - 6 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis %D 2006 %P 1053-1067 %V 40 %N 6 %I EDP-Sciences %U http://geodesic.mathdoc.fr/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: Mathematical Modelling and Numerical Analysis , Tome 40 (2006) no. 6, pp. 1053-1067. doi: 10.1051/m2an:2007002
Cité par Sources :