SIAM Journal on Numerical Analysis
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Monotone multigrid methods for elliptic variational inequalities I
Numerische Mathematik
Box Constrained Quadratic Programming with Proportioning and Projections
SIAM Journal on Optimization
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 9th International Congress on computational and applied mathematics
Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems
SIAM Journal on Scientific Computing
An algorithm for the numerical realization of 3D contact problems with Coulomb friction
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Computational Optimization and Applications
Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities
SIAM Journal on Numerical Analysis
A domain decomposition method for two-body contact problems with Tresca friction
Advances in Computational Mathematics
Total FETI domain decomposition method and its massively parallel implementation
Advances in Engineering Software
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A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid of rigid body motions is adapted to the solution of two-dimensional multibody contact problems of elasticity with the Coulomb friction and proved to be scalable for the Tresca friction. The algorithm finds an approximate solution at the cost asymptotically proportional to the number of variables provided the ratio of the decomposition parameter and the discretization parameter is bounded. The analysis is based on the classical results by Farhat, Mandel, and Roux on scalability of FETI with a natural coarse grid for linear problems and on our development of optimal quadratic programming algorithms for bound and equality constrained problems. The algorithm preserves parallel scalability of the classical FETI method. Both theoretical results and numerical experiments indicate a high efficiency of our algorithm. In addition, its performance is illustrated on analysis of the yielding clamp connection with the Coulomb friction.