We consider the Chorin–Temam scheme (the simplest pressure-correction projection method) for the time discretization of an unstationary Stokes problem in () given : find solution to , and:
(1) |
On discrétise en temps, par le schéma Chorin–Temam, un problème de Stokes non stationnaire posé dans (), étant donnés : trouver solution de , et (1). En sʼinspirant des analyses de C. Bernardi et de R. Verfürth pour le schéma Euler rétrograde, nous construisons des estimateurs a posteriori pour lʼerreur commise sur en norme . Notre étude est étayée par des expériences numériques.
Accepted:
Published online:
Sébastien Boyaval 1, 2; Marco Picasso 3
@article{CRMATH_2013__351_23-24_931_0, author = {S\'ebastien Boyaval and Marco Picasso}, title = {A posteriori analysis of the {Chorin{\textendash}Temam} scheme for {Stokes} equations}, journal = {Comptes Rendus. Math\'ematique}, pages = {931--936}, publisher = {Elsevier}, volume = {351}, number = {23-24}, year = {2013}, doi = {10.1016/j.crma.2013.10.026}, language = {en}, }
TY - JOUR AU - Sébastien Boyaval AU - Marco Picasso TI - A posteriori analysis of the Chorin–Temam scheme for Stokes equations JO - Comptes Rendus. Mathématique PY - 2013 SP - 931 EP - 936 VL - 351 IS - 23-24 PB - Elsevier DO - 10.1016/j.crma.2013.10.026 LA - en ID - CRMATH_2013__351_23-24_931_0 ER -
Sébastien Boyaval; Marco Picasso. A posteriori analysis of the Chorin–Temam scheme for Stokes equations. Comptes Rendus. Mathématique, Volume 351 (2013) no. 23-24, pp. 931-936. doi : 10.1016/j.crma.2013.10.026. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.026/
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