Title
Kvalitativní analýza kontaktních úloh se třením a asymptoticky optimální algoritmy pro jejich řešení
Code
GA201/07/0294
Summary
The proposal consists of the following topics: a) study of qualitative properties of discrete contact problems with Coulomb friction including bifurcation of solutions with respect to a coefficient of friction, continuation methods and the analysis of obtained results on the scale of discrete problems b) development of algorithms with asymptotically linear complexity for solving discrete variational inequalities of the second kind characterizing an equilibrium state of a system of elastic bodies in mutual contact in 2D and 3D. The research will include the analysis of spectral properties of the dual Schur complements resulting from the application of the FETI based domain decomposition methods c) theoretical analysis, discretization and numerical realization of 2D and 3D quasistatic contact problems with Coulomb friction and a coefficient which depends on a solution d) application of the results of b) to the development of scalable algorithms for realization of variational inequalities discretized by boundary element methods in combination with boundary decomposition methods and sparse approximations of integral operators e) testing of algorithms on appropriate benchmarks and applications to large scale
engineering problems.
Start year
2007
End year
2011
Provider
Grantová agentura ČR
Category
Obecná forma
Type
Standardní projekty
Solver
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