%0 Journal Article %1 lamichhane2004mortar %A Lamichhane, Bishnu P. %A Wohlmuth, Barbara I. %D 2004 %J Computing %K 35j25-bvps-2nd-order-elliptic-equations 35r05-pdes-discontinuous-coefficients-or-data 65n30-pdes-bvps-finite-elements 65n55-pdes-bvps-multigrid-methods-domain-decomposition 74R10-brittle-fracture 74s05-finite-element-methods-for-solid-mechanics %N 3-4 %P 333-348 %R 10.1007/s00607-003-0062-y %T Mortar Finite Elements for Interface Problems. %U https://link.springer.com/article/10.1007%2Fs00607-003-0062-y %V 72 %X Mortar techniques provide a flexible tool for the coupling of different discretization schemes or triangulations. Here, we consider interface problems within the framework of mortar finite element methods. We start with a saddle point formulation and show that the interface conditions enter into the right-hand side. Using dual Lagrange multipliers, we can work with scaled sparse matrices, and static condensation gives rise to a symmetric and positive definite system on the unconstrained product space. The iterative solver is based on a modified multigrid approach. Numerical results illustrate the performance of our approach.

@article{lamichhane2004mortar, abstract = {Mortar techniques provide a flexible tool for the coupling of different discretization schemes or triangulations. Here, we consider interface problems within the framework of mortar finite element methods. We start with a saddle point formulation and show that the interface conditions enter into the right-hand side. Using dual Lagrange multipliers, we can work with scaled sparse matrices, and static condensation gives rise to a symmetric and positive definite system on the unconstrained product space. The iterative solver is based on a modified multigrid approach. Numerical results illustrate the performance of our approach.}, added-at = {2022-01-02T10:54:38.000+0100}, author = {Lamichhane, Bishnu P. and Wohlmuth, Barbara I.}, biburl = {https://www.bibsonomy.org/bibtex/2533b3f5a44e7cc7a6126efdf67e97934/gdmcbain}, doi = {10.1007/s00607-003-0062-y}, ee = {https://www.wikidata.org/entity/Q59889894}, interhash = {34f20fb3651e0720bc24bc28bb147522}, intrahash = {533b3f5a44e7cc7a6126efdf67e97934}, journal = {Computing}, keywords = {35j25-bvps-2nd-order-elliptic-equations 35r05-pdes-discontinuous-coefficients-or-data 65n30-pdes-bvps-finite-elements 65n55-pdes-bvps-multigrid-methods-domain-decomposition 74R10-brittle-fracture 74s05-finite-element-methods-for-solid-mechanics}, number = {3-4}, pages = {333-348}, timestamp = {2022-01-02T10:55:46.000+0100}, title = {Mortar Finite Elements for Interface Problems.}, url = {https://link.springer.com/article/10.1007%2Fs00607-003-0062-y}, volume = 72, year = 2004 }