"Domain Decomposition Based Contact Solver"@en . "Dobi\u00E1\u0161, J." . . . "RIV/61989100:27240/07:00015041!RIV08-GA0-27240___" . "Southampton" . "Domain Decomposition Based Contact Solver"@en . "1746-4471" . . "27240" . "contact; domain decomposition; non-linear; Lagrange multipliers; finite element method"@en . . . "2"^^ . "Vondr\u00E1k, V\u00EDt" . "The paper is concerned with application of a new variant of the FETI domain decomposition method called the Total FETI to the solution to contact problems by the finite element method. Its basic idea is that both the compatibility between adjacent sub-domains and Dirichlet boundary conditions are enforced by the Lagrange multipliers with physical meaning of forces, while the displacements are eliminated. We introduce the Total FETI technique for solution to the equations and inequalities governing the equilibrium of system of bodies in contact. Moreover we show implementation of the method into a code which treats the material and geometric non-linear effects. Numerical experiments were carried out with our in-house general purpose package PMD."@en . . "\u010Cl\u00E1nek se zab\u00FDv\u00E1 pou\u017Eit\u00EDm nov\u00E9 varianty FETI metody rozlo\u017Een\u00ED oblasti tzv. Total FETI metody, na \u0159e\u0161en\u00ED kontaktn\u00EDch \u00FAloh metodou kone\u010Dn\u00FDch prvk\u016F. Jej\u00ED z\u00E1kladn\u00ED my\u0161lenkou je zaji\u0161t\u011Bn\u00ED kompatibility mezi podoblastmi i spln\u011Bn\u00ED Dirichletov\u00FDch podm\u00EDnek prost\u0159ednictv\u00EDm Lagrangeov\u00FDch multiplik\u00E1tor\u016F. P\u0159edstav\u00EDme Total FETI metodu pro \u0159e\u0161en\u00ED rovnic a nerovnic popisuj\u00EDc\u00ED rovnov\u00E1hu sil syst\u00E9mu t\u011Bles v kontaktu. Nav\u00EDc uk\u00E1\u017Eeme implementaci t\u00E9to metody do k\u00F3du, kter\u00FD \u0159e\u0161\u00ED materi\u00E1lov\u00E9 a geometrick\u00E9 nelinearity. Numerick\u00E9 experimenty byly \u0159e\u0161eny pomoc\u00ED syst\u00E9mu PMD."@cs . . "417905" . "Kontaktn\u00ED \u0159e\u0161i\u010D zalo\u017Een\u00FD na metod\u011B rozlo\u017Een\u00ED oblasti"@cs . "4"^^ . "P(GA101/05/0423)" . . "WITPRESS" . . . "Dost\u00E1l, Zden\u011Bk" . . "Advances in Fluid Mecahnics VI" . . . . "Kontaktn\u00ED \u0159e\u0161i\u010D zalo\u017Een\u00FD na metod\u011B rozlo\u017Een\u00ED oblasti"@cs . . "Pt\u00E1k, S." . "Domain Decomposition Based Contact Solver" . "[83532DB7720E]" . "10"^^ . "207-216" . "The paper is concerned with application of a new variant of the FETI domain decomposition method called the Total FETI to the solution to contact problems by the finite element method. Its basic idea is that both the compatibility between adjacent sub-domains and Dirichlet boundary conditions are enforced by the Lagrange multipliers with physical meaning of forces, while the displacements are eliminated. We introduce the Total FETI technique for solution to the equations and inequalities governing the equilibrium of system of bodies in contact. Moreover we show implementation of the method into a code which treats the material and geometric non-linear effects. Numerical experiments were carried out with our in-house general purpose package PMD." . "Domain Decomposition Based Contact Solver" . . . . "RIV/61989100:27240/07:00015041" .