A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components
SIAM Journal on Numerical Analysis
A FETI-DP Formulation for the Three-Dimensional Stokes Problem without Primal Pressure Unknowns
SIAM Journal on Scientific Computing
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In this paper, a FETI-DP formulation for three dimensional elasticity on nonmatching grids over geometrically nonconforming subdomain partitions is considered. To resolve the nonconformity of the finite elements, a mortar matching condition is imposed on the subdomain interfaces (faces). A FETI-DP algorithm is then built by enforcing the mortar matching condition in dual and primal ways. In order to make the FETI-DP algorithm scalable, a set of primal constraints, which include average and momentum constraints over interfaces, are selected from the mortar matching condition. A condition number bound, $C(1+\log(H/h))^2$, is then proved for the FETI-DP formulation for the elasticity problems with discontinuous material parameters. Only some faces need to be chosen as primal faces on which the average and momentum constraints are imposed. Numerical results are included.