%0 Journal Article %1 nochetto2005fully %A Nochetto, Ricardo H. %A Siebert, Kunibert G. %A Veeser, Andreas %D 2005 %I SIAM %J SIAM Journal on Numerical Analysis %K %N 5 %P 2118-2135 %R 10.1137/S0036142903424404 %T Fully Localized A Posteriori Error Estimators and Barrier Sets for Contact Problems %V 42 %X We derive novel pointwise a posteriori error estimators for elliptic obstacle problems which, except for obstacle resolution, completely vanish within the full-contact set (localization). We then construct a posteriori barrier sets for free boundaries under a natural stability (or nondegeneracy) condition. We illustrate localization properties as well as reliability and efficiency for both solutions and free boundaries via several simulations in 2 and 3 dimensions.

@article{nochetto2005fully, abstract = {We derive novel pointwise a posteriori error estimators for elliptic obstacle problems which, except for obstacle resolution, completely vanish within the full-contact set (localization). We then construct a posteriori barrier sets for free boundaries under a natural stability (or nondegeneracy) condition. We illustrate localization properties as well as reliability and efficiency for both solutions and free boundaries via several simulations in 2 and 3 dimensions.}, added-at = {2023-09-01T10:40:17.000+0200}, author = {Nochetto, Ricardo H. and Siebert, Kunibert G. and Veeser, Andreas}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2066b6193d92f86eb85f9552fe690a37b/unibiblio-4}, doi = {10.1137/S0036142903424404}, interhash = {c133aefad01f6928031667f4aec520a2}, intrahash = {066b6193d92f86eb85f9552fe690a37b}, issn = {{0036-1429} and {1095-7170}}, journal = {SIAM Journal on Numerical Analysis}, keywords = {}, language = {eng}, number = 5, pages = {2118-2135}, publisher = {SIAM}, timestamp = {2023-09-01T08:40:17.000+0200}, title = {Fully Localized A Posteriori Error Estimators and Barrier Sets for Contact Problems}, volume = 42, year = 2005 }