%0 Journal Article %1 becker2003finite %A Becker, Roland %A Hansbo, Peter %A Stenberg, Rolf %D 2003 %I EDP Sciences %J ESAIM: Mathematical Modelling and Numerical Analysis %K 35j05-laplacian-operator-helmholtz-poisson-equation 65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements 65n55-pdes-bvps-multigrid-methods-domain-decomposition %N 2 %P 209--225 %R 10.1051/m2an:2003023 %T A finite element method for domain decomposition with non-matching grids %U https://doi.org/10.1051%2Fm2an%3A2003023 %V 37 %X In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.

@article{becker2003finite, abstract = { In this note, we propose and analyse a method for handling interfaces between non-matching grids based on an approach suggested by Nitsche (1971) for the approximation of Dirichlet boundary conditions. The exposition is limited to self-adjoint elliptic problems, using Poisson's equation as a model. A priori and a posteriori error estimates are given. Some numerical results are included.}, added-at = {2021-12-29T00:07:52.000+0100}, author = {Becker, Roland and Hansbo, Peter and Stenberg, Rolf}, biburl = {https://www.bibsonomy.org/bibtex/2680458d29fff969cb41171607187e8d3/gdmcbain}, doi = {10.1051/m2an:2003023}, interhash = {a4a1d545c5b4e6ae890de28cb9edaa30}, intrahash = {680458d29fff969cb41171607187e8d3}, journal = {{ESAIM}: Mathematical Modelling and Numerical Analysis}, keywords = {35j05-laplacian-operator-helmholtz-poisson-equation 65n15-pdes-bvps-error-bounds 65n30-pdes-bvps-finite-elements 65n55-pdes-bvps-multigrid-methods-domain-decomposition}, month = mar, number = 2, pages = {209--225}, publisher = {{EDP} Sciences}, timestamp = {2021-12-29T00:07:52.000+0100}, title = {A finite element method for domain decomposition with non-matching grids}, url = {https://doi.org/10.1051%2Fm2an%3A2003023}, volume = 37, year = 2003 }