%0 Generic %1 noauthororeditor %A Juntunen, Mika %A Stenberg, Rolf %D 2005 %K 65n30-pdes-bvps-finite-elements %T A Finite Element Method for General Boundary Condition %U https://www.researchgate.net/publication/228937557_A_Finite_Element_Method_for_General_Boundary_Condition %X In this note we introduce a method for handling general boundary conditions based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. We use Poisson’s equations as a model problem and present the a priori and the a posteriori error estimates. Also, we show that conventional error estimates for Dirichlet and Neumann boundary conditions are a special case of the proposed error estimates.

@electronic{noauthororeditor, abstract = {In this note we introduce a method for handling general boundary conditions based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. We use Poisson’s equations as a model problem and present the a priori and the a posteriori error estimates. Also, we show that conventional error estimates for Dirichlet and Neumann boundary conditions are a special case of the proposed error estimates.}, added-at = {2019-04-05T02:52:30.000+0200}, author = {Juntunen, Mika and Stenberg, Rolf}, biburl = {https://www.bibsonomy.org/bibtex/2ee5c8d0a85fd839028be2487b31369fd/gdmcbain}, interhash = {995e8b78f9122e1260ab45cd4b4863af}, intrahash = {ee5c8d0a85fd839028be2487b31369fd}, keywords = {65n30-pdes-bvps-finite-elements}, note = {Institute of Mathematics Helsinki University of Technology, Espoo, Finland}, timestamp = {2019-04-05T02:52:30.000+0200}, title = {A Finite Element Method for General Boundary Condition }, url = {https://www.researchgate.net/publication/228937557_A_Finite_Element_Method_for_General_Boundary_Condition}, year = 2005 }