Deflation of conjugate gradients with applications to boundary value problems
SIAM Journal on Numerical Analysis
Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
SIAM Journal on Numerical Analysis
Box Constrained Quadratic Programming with Proportioning and Projections
SIAM Journal on Optimization
Computational Optimization and Applications
SIAM Journal on Scientific Computing
An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane
SIAM Journal on Numerical Analysis
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
A scalable FETI-DP algorithm for a coercive variational inequality
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
SIAM Journal on Scientific Computing
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Abstract: Two strategies, using edge averages, for FETI-DP (dual-primal finite element tearing and interconnecting) methods for contact problems are considered. The first one is a preconditioning technique by a conjugate projector, where the Lagrange multipliers corresponding to the variables of the coinciding edges are aggregated. The second one is an explicit transformation of basis introducing edge averages as new, additional primal variables. It is shown that both methods iterate in the same space and thus have the same rate of convergence. The theoretical result is confirmed by the solution of a model boundary variational inequality.