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

By Christine Bernardi and Toni Sayah

Abstract

Abstract. In this paper we study the time dependent Navier-Stokes problem with mixed boundary conditions. The problem is discretized by the backward Euler’s scheme in time and finite elements in space. We establish optimal a posteriori error estimates with two types of computable error indicators, the first one being linked to the time discretization and the second one to the space discretization. We finish with numerical validation experiments

Topics: mixed boundary conditions, finite element method, a posteriori
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.373.1869
Provided by: CiteSeerX
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