. " Coulombovo t\u0159en\u00ED" . . "\u0158e\u0161en\u00ED projektu prob\u011Bhlo v\u00FDte\u010Dn\u011B, jak z hlediska odborn\u00E9ho tak i z hlediska \u010Derp\u00E1n\u00ED finan\u010Dn\u00EDch prost\u0159edk\u016F."@cs . "36"^^ . "36"^^ . "2007-01-01+01:00"^^ . "2015-03-02+01:00"^^ . "2011-04-16+02:00"^^ . . . . "P\u0159edlo\u017Een\u00FD projekt se bude zab\u00FDvat: a) studiem kvalitativn\u00EDch vlastnost\u00ED \u0159e\u0161en\u00ED diskr\u00E9tn\u00EDch kontaktn\u00EDch \u00FAloh s Coulombov\u00FDm\u00A0t\u0159en\u00EDm\u00A0zahrnuj\u00EDc\u00EDm\u00A0problematiku v\u011Btven\u00ED \u0159e\u0161en\u00ED v z\u00E1vislosti na koeficientu t\u0159en\u00ED, metody\u00A0kontinuace \u0159e\u0161en\u00ED a anal\u00FDzu dosa\u017Een\u00FDch v\u00FDsledk\u016F v\u00A0z\u00E1vislosti na dimenzi \u00FAlohy;\u00A0b)\u00A0v\u00FDvojem algoritm\u016F s asymptoticky line\u00E1rn\u00ED slo\u017Eitost\u00ED pro numerick\u00E9 \u0159e\u0161en\u00ED diskretizovan\u00FDch\u00A0varia\u010Dn\u00EDch nerovnic druh\u00E9ho druhu, kter\u00E9 popisuj\u00ED rovnov\u00E1hu soustav t\u011Bles s dan\u00FDm\u00A0t\u0159en\u00EDm ve 2D a 3D. V\u00FDzkum bude zahrnovat studium spektr\u00E1ln\u00EDch vlastnost\u00ED du\u00E1ln\u00EDch Schurov\u00FDch komplement\u016F vznikaj\u00EDc\u00EDch p\u0159i pou\u017Eit\u00ED r\u016Fzn\u00FDch variant metod rozlo\u017Een\u00ED oblasti typu FETI; c) teoretickou anal\u00FDzu, diskretizaci a realizaci\u00A02D a3D kvasistatick\u00FDch kontaktn\u00EDch \u00FAloh s Coulombov\u00FDm t\u0159en\u00EDm a koeficientem zavisl\u00FDm na \u0159e\u0161en\u00ED; d) pou\u017Eit\u00ED v\u00FDsledk\u016F z b) k v\u00FDvoji \u0161k\u00E1lovateln\u00FDch algoritm\u016F pro \u0159e\u0161en\u00ED vari\u010Dn\u00EDch nerovnic diskretizovan\u00FDch pomoc\u00ED metody hrani\u010Dn\u00EDch prvk\u016F s vyu\u017Eit\u00EDm kombinace metod rozlo\u017Een\u00ED\u00A0 hranice a \u0159\u00EDdk\u00FDch aproximac\u00ED integr\u00E1ln\u00EDch oper\u00E1tor\u016F;\u00A0e)\u00A0 testov\u00E1n\u00ED algoritm\u016F pomoc\u00ED vhodn\u00FDch benchmark\u016F a jejich vyu\u017Eit\u00ED k \u0159e\u0161en\u00ED rozs\u00E1hl\u00FDch in\u017Een\u00FDrsk\u00FDch \u00FAloh." . . . . "kontaktn\u00ED \u00FAlohy se t\u0159en\u00EDm" . "2011-12-31+01:00"^^ . . "The proposal consists of the following topics:\u00A0a) 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\u00A0 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\u00A0boundary decomposition methods and sparse approximations of integral operators e) testing of algorithms on appropriate benchmarks and applications\u00A0to large scale engineering problems."@en . "Qualitative analysis of contact problems with friction and asymptotically optimal algorithms for their solution"@en . . . . . "http://www.isvav.cz/projectDetail.do?rowId=GA201/07/0294"^^ . "The project was excellent, both in terms of expertise and in terms of disbursement of funds."@en . . . "1"^^ . "1"^^ . . "0"^^ . "Kvalitativn\u00ED anal\u00FDza kontaktn\u00EDch \u00FAloh se t\u0159en\u00EDm a asymptoticky optim\u00E1ln\u00ED algoritmy pro jejich \u0159e\u0161en\u00ED" . . . "GA201/07/0294" . . "kontaktn\u00ED \u00FAlohy se t\u0159en\u00EDm; Coulombovo t\u0159en\u00ED; bifurkace \u0159e\u0161en\u00ED; \u0161k\u00E1lovatelnost"@en . " bifurkace \u0159e\u0161en\u00ED" .