Robustness in a posteriori error analysis for FEM flow models |
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Authors: | Stefano Berrone |
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Affiliation: | (1) Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy; e-mail: sberrone@calvino.polito.it , IT |
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Abstract: | Summary. We derive a residual-based a posteriori error estimator for a stabilized finite element discretization of certain incompressible Oseen-like equations. We focus our attention on the behaviour of the effectivity index and we carry on a numerical study of its sensitiveness to the problem and mesh parameters. We also consider a scalar reaction-convection-diffusion problem and a divergence-free projection problem in order to investigate the effects on the robustness of our a posteriori error estimator of the reaction-convection-diffusion phenomena and, separately, of the incompressibility constraint. Received March 21, 2001 / Revised version received July 30, 2001 / Published online October 17, 2001 |
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Keywords: | Mathematics Subject Classification (1991): 65N30 65N15 65N50 76D05 76M10 |
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