%0 Report %1 noauthororeditor %A Juntunen, Mika %A Stenberg, Rolf %C Espoo %D 2007 %K %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 conditionsin the finite element method generalizing an approach, due toNitsche (1971),for approximating Dirichlet boundary conditions. We use Poisson’s equationsas a model problem and prove a priori and a posteriori error estimates. Themethod is also compared with the traditional Galerkin method. The theoreticalresults are verified numerically.

@techreport{noauthororeditor, abstract = {We introduce a method for treating general boundary conditionsin the finite element method generalizing an approach, due toNitsche (1971),for approximating Dirichlet boundary conditions. We use Poisson’s equationsas a model problem and prove a priori and a posteriori error estimates. Themethod is also compared with the traditional Galerkin method. The theoreticalresults are verified numerically.}, added-at = {2019-04-03T04:34:44.000+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 = {}, number = {A530}, timestamp = {2019-04-03T04:34:44.000+0200}, title = {Nitsches Method for General Boundary Conditions}, type = {Research Report}, url = {https://math.aalto.fi/reports/a530.pdf}, year = 2007 }