%0 Generic %1 gustafsson2018error %A Gustafsson, Tom %A Stenberg, Rolf %A Videman, Juha %D 2018 %K 65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements %T Error analysis of Nitsche's mortar method %U http://arxiv.org/abs/1802.10430 %X Optimal a priori and a posteriori error estimates are derived for Nitsche's mortar finite elements. The analysis is based on the equivalence of the Nitsche's method and the stabilised mixed method. The Nitsche's method is defined so that it is robust with respect to large jumps in the material and mesh parameters over the interface. Numerical results demonstrate the robustness of the a posteriori estimators.

@misc{gustafsson2018error, abstract = {Optimal a priori and a posteriori error estimates are derived for Nitsche's mortar finite elements. The analysis is based on the equivalence of the Nitsche's method and the stabilised mixed method. The Nitsche's method is defined so that it is robust with respect to large jumps in the material and mesh parameters over the interface. Numerical results demonstrate the robustness of the a posteriori estimators.}, added-at = {2019-03-26T23:37:18.000+0100}, author = {Gustafsson, Tom and Stenberg, Rolf and Videman, Juha}, biburl = {https://www.bibsonomy.org/bibtex/2d7396395a152e0cc19a1daa119a1040e/gdmcbain}, description = {Error analysis of Nitsche's mortar method}, interhash = {5f3a19f0dd48c47148d1ee364f60fb03}, intrahash = {d7396395a152e0cc19a1daa119a1040e}, keywords = {65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements}, note = {cite arxiv:1802.10430}, timestamp = {2019-03-26T23:37:18.000+0100}, title = {Error analysis of Nitsche's mortar method}, url = {http://arxiv.org/abs/1802.10430}, year = 2018 }