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 - <p style="text-align: justify;">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.)</p>