A posteriori analysis of Chorin-Temam scheme for Stokes equations

INRIA Paris - Rocquencourt); M. Picasso (MATHICSE); S\'ebastien Boyaval (Saint-Venant

arxiv: 1310.6277 · v1 · pith:CLC7TEH5new · submitted 2013-10-23 · 🧮 math.NA · cs.NA

A posteriori analysis of Chorin-Temam scheme for Stokes equations

S\'ebastien Boyaval (Saint-Venant , INRIA Paris - Rocquencourt) , M. Picasso (MATHICSE) This is my paper

classification 🧮 math.NA cs.NA

keywords schemechorin-temamposterioristokesanalysesanalysisbackwardbernardi

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We consider Chorin-Temam scheme (the simplest pressure-correction projection method) for the time-discretization of an unstationary Stokes problem. Inspired by the analyses of the Backward Euler scheme performed by C.Bernardi and R.Verf\"urth, we derive a posteriori estimators for the error on the velocity gradient in L2 norm. Our invesigation is supported by numerical experiments.

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A posteriori analysis of Chorin-Temam scheme for Stokes equations

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