%0 Report %1 noauthororeditor %A Juntunen, Mika %A Stenberg, Rolf %C Espoo %D 2007 %K 65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements 65n50-pdes-bvps-mesh-generation-and-refinement %N A530 %T Nitsches Method for General Boundary Conditions %U https://math.aalto.fi/reports/a530.pdf %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.

@techreport{noauthororeditor, 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 = {2019-04-01T01:44:01.000+0200}, address = {Espoo}, author = {Juntunen, Mika and Stenberg, Rolf}, biburl = {https://www.bibsonomy.org/bibtex/245a4af2711d4ccfe9117602a83840e25/gdmcbain}, institution = {Helsinki University of Technology, Institute of Mathematics}, interhash = {2f875d100eb5d906ba787aed613b5ea1}, intrahash = {45a4af2711d4ccfe9117602a83840e25}, keywords = {65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements 65n50-pdes-bvps-mesh-generation-and-refinement}, number = {A530}, timestamp = {2019-04-03T04:37:58.000+0200}, title = {Nitsches Method for General Boundary Conditions}, type = {Research Report}, url = {https://math.aalto.fi/reports/a530.pdf}, year = 2007 }