%0 Journal Article %1 deckelnick2000w1convergence %A Deckelnick, Klaus %A Siebert, Kunibert G. %D 2000 %I Oxford Univ. Press %J IMA journal of numerical analysis %K %N 3 %P 481-498 %R 10.1093/imanum/20.3.481 %T W1∞-convergence of the discrete free boundary for obstacle problems %V 20 %X We examine the discrete free boundaries arising from a finite element discretization of a variational inequality. We give L∞ error bounds for the Hausdorff distance of the discrete and true free boundary, as well as for the normals. The theoretical results are confirmed by numerical experiments in two and three dimensions.

@article{deckelnick2000w1convergence, abstract = {We examine the discrete free boundaries arising from a finite element discretization of a variational inequality. We give L∞ error bounds for the Hausdorff distance of the discrete and true free boundary, as well as for the normals. The theoretical results are confirmed by numerical experiments in two and three dimensions.}, added-at = {2023-09-01T10:41:58.000+0200}, author = {Deckelnick, Klaus and Siebert, Kunibert G.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2827b3a996b5bfe6da193865f25782ec7/unibiblio-4}, doi = {10.1093/imanum/20.3.481}, interhash = {719cd8424c73b2dd0b17bd6b609fe46a}, intrahash = {827b3a996b5bfe6da193865f25782ec7}, issn = {{0272-4979} and {1464-3642}}, journal = {IMA journal of numerical analysis}, keywords = {}, language = {eng}, number = 3, pages = {481-498}, publisher = {Oxford Univ. Press}, timestamp = {2023-09-01T08:41:58.000+0200}, title = {W1∞-convergence of the discrete free boundary for obstacle problems}, volume = 20, year = 2000 }