%0 Journal Article %1 journals/moc/JuntunenS09 %A Juntunen, Mika %A Stenberg, Rolf %D 2009 %J Mathematics of Computation %K 35j05-laplacian-operator-helmholtz-poisson-equation 65n30-pdes-bvps-finite-elements %N 267 %P 1353–1374 %R 10.1090/S0025-5718-08-02183-2 %T Nitsche's method for general boundary conditions %U http://dblp.uni-trier.de/db/journals/moc/moc78.html#JuntunenS09 %V 78 %X We introduce a method for treating general boundary conditions in the finite element method generalizing an approach, due to Nitsche (1971), for approximating Dirichlet boundary conditions. We use Poisson's equations as a model problem and prove a priori and a posteriori error estimates. The method is also compared with the traditional Galerkin method. The theoretical results are verified numerically.

@article{journals/moc/JuntunenS09, abstract = {We introduce a method for treating general boundary conditions in the finite element method generalizing an approach, due to Nitsche (1971), for approximating Dirichlet boundary conditions. We use Poisson's equations as a model problem and prove a priori and a posteriori error estimates. The method is also compared with the traditional Galerkin method. The theoretical results are verified numerically. }, added-at = {2019-04-01T02:05:38.000+0200}, author = {Juntunen, Mika and Stenberg, Rolf}, biburl = {https://www.bibsonomy.org/bibtex/2bed0ccdb16fb44c4ababe7d582a87126/gdmcbain}, doi = {10.1090/S0025-5718-08-02183-2}, ee = {http://dx.doi.org/10.1090/S0025-5718-08-02183-2}, interhash = {ef1cb93cba5dd81dd8ff73547c185988}, intrahash = {bed0ccdb16fb44c4ababe7d582a87126}, journal = {Mathematics of Computation}, keywords = {35j05-laplacian-operator-helmholtz-poisson-equation 65n30-pdes-bvps-finite-elements}, number = 267, pages = {1353–1374}, timestamp = {2019-04-01T02:05:38.000+0200}, title = {Nitsche's method for general boundary conditions}, url = {http://dblp.uni-trier.de/db/journals/moc/moc78.html#JuntunenS09}, volume = 78, year = 2009 }