SIAM Journal on Numerical Analysis
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Iterative solution methods
A symmetric boundary method for contact problems with friction
Mathematics and Computers in Simulation - Special issue from IMACS sponsored conference: “Modelling '98”
Duality-based domain decomposition with natural coarse-space for variational inequalities0
Journal of Computational and Applied Mathematics
Scalability and FETI based algorithm for large discretized variational inequalities
Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics
Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems
SIAM Journal on Scientific Computing
Computational Optimization and Applications
The Fast Solution of Boundary Integral Equations (Mathematical and Analytical Techniques with Applications to Engineering)
Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities
SIAM Journal on Numerical Analysis
Applications of a fast multipole Galerkin in boundary element method in linear elastostatics
Computing and Visualization in Science
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
Adaptive hp-versions of BEM for Signorini problems
Applied Numerical Mathematics - Selected papers from the 16th Chemnitz finite element symposium 2003
Computational Optimization and Applications
Hi-index | 0.00 |
A Total BETI (TBETI) based domain decomposition algorithm with the preconditioning by a natural coarse grid of the rigid body motions is adapted for the solution of contact problems of linear elastostatics and proved to be scalable for the coercive problems, i.e., the cost of the solution is asymptotically proportional to the number of variables. The analysis is based on the original results by Langer and Steinbach on the scalability of BETI for linear problems and our development of optimal quadratic programming algorithms for bound and equality constrained problems. Both theoretical results and numerical experiments indicate a high efficiency of the algorithms presented.