%0 Journal Article %1 deckelnick2000w1inftyconvergence %A Deckelnick, Klaus %A Siebert, Kunibert G. %D 2000 %J IMA Journal of Numerical Analysis %K from:mhartmann ians imported vorlaeufig %N 3 %P 481-498 %R 10.1093/imanum/20.3.481 %T $W^1,ınfty$-Convergence of the Discrete Free Boundary for Obstacle Problems %U http://dx.doi.org/10.1093/imanum/20.3.481 %V 20 %X We examine the discrete free boundaries arising from a finite element discretization of a variational inequality. We give L8 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{deckelnick2000w1inftyconvergence, abstract = {We examine the discrete free boundaries arising from a finite element discretization of a variational inequality. We give L8 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 = {2018-07-20T10:55:14.000+0200}, author = {Deckelnick, Klaus and Siebert, Kunibert G.}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2413cc2e8c8058b63c43cc8d17007f5f6/mathematik}, doi = {10.1093/imanum/20.3.481}, interhash = {6bc2dd5052f76393e4729c798e56b7b9}, intrahash = {413cc2e8c8058b63c43cc8d17007f5f6}, journal = {IMA Journal of Numerical Analysis}, keywords = {from:mhartmann ians imported vorlaeufig}, number = 3, owner = {kohlsk}, pages = {481-498}, timestamp = {2019-12-18T14:37:55.000+0100}, title = {${W}^{1,\infty}$-Convergence of the Discrete Free Boundary for Obstacle Problems}, url = {http://dx.doi.org/10.1093/imanum/20.3.481}, volume = 20, year = 2000 }