A FETI-DP Formulation for Compressible Elasticity with Mortar Constraints
A FETI-DP formulation for three-dimensional elasticity problems on non-matching grids is considered. To resolve the nonconformity of the finite elements, a mortar matching condition is imposed on subdomain interfaces. The mortar matching condition are considered as weak continuity constraints in the FETIDP formulation. A relatively large set of primal constraints, which include average and moment constraints over interfaces (faces) as well as vertex constraints, is further introduced to achieve a scalable FETI-DP method.
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- 5.H. H. Kim, A preconditioner for the FETI-DP formulation with mortar methods in three dimensions, Tech. Rep. 04-19, Division of Applied Mathematics, Korea Advanced Instititue of Science and Technology, 2004.Google Scholar
- 6.H. H. Kim, A FETI-DP formulation of three dimensional elasticity problems with mortar discretization, Tech. Rep. 863, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University, New York, April 2005.Google Scholar
- 7.A. Klawonn and O. Widlund, Dual-Primal FETI methods for linear elasticity, Tech. Rep. 855, Department of Computer Science, Courant Institute of Mathematical Sciences, New York University, New York, September 2004.Google Scholar