Volume 50, Number 4, July-August 2016
|Page(s)||1035 - 1055|
|Published online||23 June 2016|
A posteriori analysis of iterative algorithms for Navier–Stokes problem
1 Laboratoire Jacques-Louis Lions - C.N.R.S. et Université
Pierre et Marie Curie, 4 place Jussieu, 75252 Paris cedex 05, France.
2 Unité de recherche EGFEM, Faculté des sciences, Université Saint-Joseph, Lebanon, Beirut, Liban.
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Revised: 2 September 2015
This work deals with a posteriori error estimates for the Navier–Stokes equations. We propose a finite element discretization relying on the Galerkin method and we solve the discrete problem using an iterative method. Two sources of error appear, the discretization error and the linearization error. Balancing these two errors is very important to avoid performing an excessive number of iterations. Several numerical tests are provided to evaluate the efficiency of our indicators.
Mathematics Subject Classification: 65N30 / 65N15 / 65J15 / 76D05
Key words: A posteriori error estimation / Navier–Stokes problem / iterative method
© EDP Sciences, SMAI 2016
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