%0 Journal Article %1 Gustafsson2018Stabilised %A Gustafsson, Tom %A Stenberg, Rolf %A Videman, Juha %D 2018 %J BIT Numerical Mathematics %K 65k15-numerical-methods-for-variational-inequalities 65n30-pdes-bvps-finite-elements 74s05-finite-element-methods-for-solid-mechanics %R 10.1007/s10543-018-0728-7 %T A Stabilised Finite Element Method for the Plate Obstacle Problem %U http://dx.doi.org/10.1007/s10543-018-0728-7 %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 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{Gustafsson2018Stabilised, 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 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 = {2019-03-01T00:11:50.000+0100}, author = {Gustafsson, Tom and Stenberg, Rolf and Videman, Juha}, biburl = {https://www.bibsonomy.org/bibtex/230995bd8d1362d3d384be7d547eba5c1/gdmcbain}, citeulike-article-id = {14647934}, citeulike-attachment-1 = {gustafsson_18_stabilised_1146716.pdf; /pdf/user/gdmcbain/article/14647934/1146716/gustafsson_18_stabilised_1146716.pdf; babcec98f9edf8d3d76a80afb02d6d2e2aa7b2dd}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/s10543-018-0728-7}, day = 21, doi = {10.1007/s10543-018-0728-7}, file = {gustafsson_18_stabilised_1146716.pdf}, interhash = {7cc4acb3fd07fe0f49b61a0128111e2b}, intrahash = {30995bd8d1362d3d384be7d547eba5c1}, issn = {0006-3835}, journal = {BIT Numerical Mathematics}, keywords = {65k15-numerical-methods-for-variational-inequalities 65n30-pdes-bvps-finite-elements 74s05-finite-element-methods-for-solid-mechanics}, month = sep, posted-at = {2018-10-24 09:13:34}, priority = {0}, timestamp = {2019-03-01T00:11:50.000+0100}, title = {{A Stabilised Finite Element Method for the Plate Obstacle Problem}}, url = {http://dx.doi.org/10.1007/s10543-018-0728-7}, year = 2018 }