A posteriori error analysis of time-dependent Stokes problem by Chorin-Temam scheme |
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Authors: | N Kharrat Z Mghazli |
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Affiliation: | 1. Faculté des Sciences de Bizerte (ENIT-LAMSIN), Jarzouna, 7021, Bizerte, Tunisia 2. Faculté des Sciences (LIRNE-EIMA), Université Ibn Tofail, B.P. 133, Kenitra, Morocco
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Abstract: | We present a posteriori-residual analysis for the approximate time-dependent Stokes model Chorin-Temam projection scheme (Chorin
in Math. Comput. 23:341–353, 1969; Temam in Arch. Ration. Mech. Appl. 33:377–385, 1969). Based on the multi-step approach introduced in Bergam et al. (Math. Comput. 74(251):1117–1138, 2004), we derive error estimators, with respect to both time and space approximations, related to diffusive and incompressible
parts of Stokes equations. Using a conforming finite element discretization, we prove the equivalence between error and estimators
under specific conditions. |
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