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Volume 28, Issue 3
Estimator Competition for Poisson Problems

C. Carstensen & C. Merdon

DOI: 10.4208/jcm.2009.10-m1015

J. Comp. Math., 28 (2010), pp. 309-330.

Published online: 2010-06

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  • 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.)

  • Keywords

Finite element methods, A posteriori error estimators.

  • AMS Subject Headings

65N30, 65R20, 73C50.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-28-309, author = {C. Carstensen and C. Merdon}, title = {Estimator Competition for Poisson Problems}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {3}, pages = {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.)

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.10-m1015}, url = {http://global-sci.org/intro/article_detail/jcm/8522.html} }
TY - JOUR T1 - Estimator Competition for Poisson Problems AU - C. Carstensen & C. Merdon JO - Journal of Computational Mathematics VL - 3 SP - 309 EP - 330 PY - 2010 DA - 2010/06 SN - 28 DO - http://doi.org/10.4208/jcm.2009.10-m1015 UR - https://global-sci.org/intro/article_detail/jcm/8522.html KW - Finite element methods, A posteriori error estimators. AB -

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.)

C. Carstensen and C. Merdon. (2010). Estimator Competition for Poisson Problems. Journal of Computational Mathematics. 28 (3). 309-330. doi:10.4208/jcm.2009.10-m1015
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