Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems
SIAM Journal on Scientific Computing
Computational Optimization and Applications
Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities
SIAM Journal on Numerical Analysis
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
Optimal Quadratic Programming Algorithms: With Applications to Variational Inequalities
Total FETI based algorithm for contact problems with additional non-linearities
Advances in Engineering Software
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We report our recent results in the development of theoretically supported scalable algorithms for the solution of large scale complex contact problems of elasticity The algorithms combine the TFETI based domain decomposition method adapted to the solution of 2D and 3D frictionless multibody contact problems of elasticity with our in a sense optimal algorithms for the solution of the resulting quadratic programming problems Rather surprisingly, the theoretical results are qualitatively the same as the classical results on scalability of FETI for the linear elliptic problems The efficiency of the method is demonstrated by the results of numerical experiments with parallel solution of both coercive and semicoercive 2D and 3D contact problems.