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A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS

By Christine Bernardi and Toni Sayah

Abstract

In this paper we study the time dependent Stokes problem with mixed boundary conditions. The problem is discretized by the backward Euler's scheme in time and nite elements in space. We establish an optimal a posteriori error with two types of computable error indicators, the first one being linked to the time discretization and the second one to the space discretization

Topics: a posteriori analysis, Stokes equations, mixed boundary conditions, finite element method, a posteriori analysis., [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA]
Publisher: HAL CCSD
Year: 2013
OAI identifier: oai:HAL:hal-00764976v2
Provided by: Hal-Diderot

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