%0 Journal Article %1 maslovskaya2010nitsche %A Maslovskaya, L. V. %A Maslovskaya, O. M. %D 2010 %J Russian Mathematics %K 35j05-laplacian-operator-helmholtz-poisson-equation 65n12-pdes-bvps-stability-and-convergence-of-numerical-methods 65n30-pdes-bvps-finite-elements 65n50-pdes-bvps-mesh-generation-and-refinement %N 4 %P 15--30 %R 10.3103/S1066369X10040031 %T The Nitsche mortar method for matching grids in a mixed finite element method %U https://doi.org/10.3103/S1066369X10040031 %V 54 %X It is well-known that nonmatching grids are often used in finite element methods. Usually, grids are being matched along lines or surfaces that divide a domain into subdomains. Such lines or surfaces are called interfaces. The interface matching means the satisfaction of some continuity conditions when crossing the interface. The direct matching procedures fall into three groups: Methods that use Lagrange multipliers, mortar methods based on the Nitsche technique, and penalty methods.

@article{maslovskaya2010nitsche, abstract = {It is well-known that nonmatching grids are often used in finite element methods. Usually, grids are being matched along lines or surfaces that divide a domain into subdomains. Such lines or surfaces are called interfaces. The interface matching means the satisfaction of some continuity conditions when crossing the interface. The direct matching procedures fall into three groups: Methods that use Lagrange multipliers, mortar methods based on the Nitsche technique, and penalty methods.}, added-at = {2021-12-29T01:10:58.000+0100}, author = {Maslovskaya, L. V. and Maslovskaya, O. M.}, biburl = {https://www.bibsonomy.org/bibtex/24aefa61bc8a59192dd8bde97d5529ef8/gdmcbain}, day = 01, doi = {10.3103/S1066369X10040031}, interhash = {1d1fcb950942f34ef58d376ae4b5c017}, intrahash = {4aefa61bc8a59192dd8bde97d5529ef8}, issn = {1934-810X}, journal = {Russian Mathematics}, keywords = {35j05-laplacian-operator-helmholtz-poisson-equation 65n12-pdes-bvps-stability-and-convergence-of-numerical-methods 65n30-pdes-bvps-finite-elements 65n50-pdes-bvps-mesh-generation-and-refinement}, month = apr, number = 4, pages = {15--30}, timestamp = {2021-12-29T01:10:58.000+0100}, title = {The Nitsche mortar method for matching grids in a mixed finite element method}, url = {https://doi.org/10.3103/S1066369X10040031}, volume = 54, year = 2010 }