%0 Journal Article %1 morin2003local %A Morin, Pedro %A Nochetto, Ricardo H. %A Siebert, Kunibert G. %D 2003 %J Mathematics of Computation %K from:mhartmann ians imported vorlaeufig %N 243 %P 1067-1097 %R 10.1090/S0025-5718-02-01463-1 %T Local Problems on Stars: A Posteriori Error Estimators, Convergence, and Performance %U http://dx.doi.org/10.1090/S0025-5718-02-01463-1 %V 72 %X A new computable a posteriori error estimator is introduced, which relies on the solution of small discrete problems on stars. It exhibits built-in flux equilibration and is equivalent to the energy error up to data oscillation without any saturation assumption. A simple adaptive strategy is designed, which simultaneously reduces error and data oscillation, and is shown to converge without mesh pre-adaptation nor explicit knowledge of constants. Numerical experiments reveal a competitive performance, show extremely good effectivity indices, and yield quasi-optimal meshes.

@article{morin2003local, abstract = {A new computable a posteriori error estimator is introduced, which relies on the solution of small discrete problems on stars. It exhibits built-in flux equilibration and is equivalent to the energy error up to data oscillation without any saturation assumption. A simple adaptive strategy is designed, which simultaneously reduces error and data oscillation, and is shown to converge without mesh pre-adaptation nor explicit knowledge of constants. Numerical experiments reveal a competitive performance, show extremely good effectivity indices, and yield quasi-optimal meshes.}, added-at = {2018-07-20T10:54:26.000+0200}, author = {Morin, Pedro and Nochetto, Ricardo H. and Siebert, Kunibert G.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2f07b09c367476e519a84842a8dbb10b1/mathematik}, doi = {10.1090/S0025-5718-02-01463-1}, interhash = {5218fe1907aac0c236b928826c120882}, intrahash = {f07b09c367476e519a84842a8dbb10b1}, journal = {Mathematics of Computation}, keywords = {from:mhartmann ians imported vorlaeufig}, number = 243, owner = {kohlsk}, pages = {1067-1097}, timestamp = {2019-12-18T14:37:55.000+0100}, title = {Local Problems on Stars: {A} Posteriori Error Estimators, Convergence, and Performance}, url = {http://dx.doi.org/10.1090/S0025-5718-02-01463-1}, volume = 72, year = 2003 }