%0 Journal Article %1 gustafsson2019stabilised %A Gustafsson, Tom %A Stenberg, Rolf %A Videman, Juha %D 2019 %J BIT Numerical Mathematics %K 47j20-variational-and-other-inequalities-involving-nonlinear-operators 49j40-variational-inequalities 65n30-pdes-bvps-finite-elements 74k20-plates 74s05-finite-element-methods-for-solid-mechanics %N 1 %P 97--124 %R 10.1007/s10543-018-0728-7 %T A stabilised finite element method for the plate obstacle problem %U https://link.springer.com/article/10.1007%2Fs10543-018-0728-7 %V 59 %X We introduce a stabilised finite element formulation for the Kirchhoff plate obstacle problem and derive both a priori and residual-based a posteriori error estimates using conforming \$\$C^1\$\$C1-continuous finite elements. We implement the method as a Nitsche-type scheme and give numerical evidence for its effectiveness in the case of an elastic and a rigid obstacle.

@article{gustafsson2019stabilised, abstract = {We introduce a stabilised finite element formulation for the Kirchhoff plate obstacle problem and derive both a priori and residual-based a posteriori error estimates using conforming {\$}{\$}C^1{\$}{\$}C1-continuous finite elements. We implement the method as a Nitsche-type scheme and give numerical evidence for its effectiveness in the case of an elastic and a rigid obstacle.}, added-at = {2020-02-19T00:20:34.000+0100}, author = {Gustafsson, Tom and Stenberg, Rolf and Videman, Juha}, biburl = {https://www.bibsonomy.org/bibtex/285e01a8f5bf453d74ef405d523a513be/gdmcbain}, day = 01, doi = {10.1007/s10543-018-0728-7}, interhash = {7caf950681b4699f93b8835ceeec3d27}, intrahash = {85e01a8f5bf453d74ef405d523a513be}, issn = {1572-9125}, journal = {BIT Numerical Mathematics}, keywords = {47j20-variational-and-other-inequalities-involving-nonlinear-operators 49j40-variational-inequalities 65n30-pdes-bvps-finite-elements 74k20-plates 74s05-finite-element-methods-for-solid-mechanics}, month = mar, number = 1, pages = {97--124}, timestamp = {2020-02-19T00:49:34.000+0100}, title = {A stabilised finite element method for the plate obstacle problem}, url = {https://link.springer.com/article/10.1007%2Fs10543-018-0728-7}, volume = 59, year = 2019 }