This Note presents a new finite volume scheme for the Stokes equations on general non-structured meshes. A convergence result is presented, and an error estimate is given when the solution is regular enough.
On présente ici une nouvelle méthode de volumes finis pour la discrétisation des équations de Stokes sur un maillage 2D non structuré. On présente un résultat de convergence, ainsi qu'une estimation d'erreur dans le cas où la solution est suffisamment régulière.
Accepted:
Published online:
Robert Eymard 1; Raphaèle Herbin 2
@article{CRMATH_2003__337_2_125_0, author = {Robert Eymard and Rapha\`ele Herbin}, title = {A cell-centered finite volume scheme on general meshes for the {Stokes} equations in two space dimensions}, journal = {Comptes Rendus. Math\'ematique}, pages = {125--128}, publisher = {Elsevier}, volume = {337}, number = {2}, year = {2003}, doi = {10.1016/S1631-073X(03)00266-8}, language = {en}, }
TY - JOUR AU - Robert Eymard AU - Raphaèle Herbin TI - A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions JO - Comptes Rendus. Mathématique PY - 2003 SP - 125 EP - 128 VL - 337 IS - 2 PB - Elsevier DO - 10.1016/S1631-073X(03)00266-8 LA - en ID - CRMATH_2003__337_2_125_0 ER -
%0 Journal Article %A Robert Eymard %A Raphaèle Herbin %T A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions %J Comptes Rendus. Mathématique %D 2003 %P 125-128 %V 337 %N 2 %I Elsevier %R 10.1016/S1631-073X(03)00266-8 %G en %F CRMATH_2003__337_2_125_0
Robert Eymard; Raphaèle Herbin. A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions. Comptes Rendus. Mathématique, Volume 337 (2003) no. 2, pp. 125-128. doi : 10.1016/S1631-073X(03)00266-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00266-8/
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[3] R. Eymard, R. Herbin, A finite volume scheme on general meshes for the Stokes equations in two-space dimensions, LATP preprint, 2003, Université Aix-Marseille 1
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