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Estimator Competition for Poisson Problems

Estimator Competition for Poisson Problems
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Year:    2010

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 309–330

Abstract

We compare 13 different a posteriori error estimators for the Poisson problem with lowest-order finite element discretization. Residual-based error estimators compete with a wide range of averaging estimators and estimators based on local problems. Among our five benchmark problems we also look on two examples with discontinuous isotropic diffusion and their impact on the performance of the estimators. (Supported by DFG Research Center MATHEON.)

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.2009.10-m1015

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 3 : pp. 309–330

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Finite element methods A posteriori error estimators.

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