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RESEARCH PRODUCT

Comparative Study of the a Posteriori Error Estimators for the Stokes Problem

Elena GorshkovaPekka NeittaanmäkiSergey Repin

subject

Approximations of πFunctional typeStokes problemEconometricsStructure (category theory)Applied mathematicsEstimatorA priori and a posterioriType (model theory)Finite element methodMathematics::Numerical AnalysisMathematics

description

The research presented is focused on a comparative study of a posteriori error estimation methods to various approximations of the Stokes problem. Mainly, we are interested in the performance of functional type a posterior error estimates and their comparison with other methods. We show that functional type a posteriori error estimators are applicable to various types of approximations (including non-Galerkin ones) and robust with respect to the mesh structure, type of the finite element and computational procedure used. This allows the construction of effective mesh adaptation procedures in all cases considered. Numerical tests justify the approach suggested.

yearjournalcountryeditionlanguage
2007-10-07
https://doi.org/10.1007/978-3-540-34288-5_18