. "421877" . "FETI domain decomposition method to solution of contact problems with large displacements"@en . "Lecture and Notes in Computational Sciences and Engineering" . "1439-7358" . "FETI metoda rozlo\u017Een\u00ED oblasti pro \u0159e\u0161en\u00ED kontaktn\u00EDch \u00FAloh s velk\u00FDmi posunut\u00EDmi"@cs . "Solution of nonlinear problems is in general difficult and expensive. Among nonlinearities we can meet in structural mechanics is the one caused by two or more bodies in contact. This strong nonlinearity is often source of computational difficulties. Our presentation will describe an application of the FETI method to solution of such contact problems in 3D. In addition to the non-linearity caused by the contact between the bodies, we will also consider another non-linearity, namely the large displacements and an algorithm for solution of such problems will be proposed. The numerical experiments will prove efficiency of proposed algorithms comparing them with primal penalty method which appears to be most often used method to solution of mentioned problems." . "Pt\u00E1k, Svatopluk" . "27240" . . . . "RIV/61989100:27240/07:00014983!RIV08-GA0-27240___" . . "Dost\u00E1l, Zden\u011Bk" . "Solution of nonlinear problems is in general difficult and expensive. Among nonlinearities we can meet in structural mechanics is the one caused by two or more bodies in contact. This strong nonlinearity is often source of computational difficulties. Our presentation will describe an application of the FETI method to solution of such contact problems in 3D. In addition to the non-linearity caused by the contact between the bodies, we will also consider another non-linearity, namely the large displacements and an algorithm for solution of such problems will be proposed. The numerical experiments will prove efficiency of proposed algorithms comparing them with primal penalty method which appears to be most often used method to solution of mentioned problems."@en . . "771-778" . "FETI metoda rozlo\u017Een\u00ED oblasti pro \u0159e\u0161en\u00ED kontaktn\u00EDch \u00FAloh s velk\u00FDmi posunut\u00EDmi"@cs . . . "\u0158e\u0161en\u00ED neline\u00E1rn\u00EDch \u00FAloh je obecn\u011B slo\u017Eit\u00E9 a v\u00FDpo\u010Detn\u011B drah\u00E9. Mezi nelinearitami, se kter\u00FDmi se m\u016F\u017Eeme setkat se vyskytuj\u00ED i ty, ter\u00E9 jsou zp\u016Fsobeny kontaktem dvou nebo v\u00EDce t\u011Bles. Tato siln\u00E1 nelinearita je zdrojem v\u00FDpo\u010Detn\u00ED n\u00E1ro\u010Dnosti. Tento p\u0159\u00EDsp\u011Bvek popisuje aplikaci FETI metody pro \u0159e\u0161en\u00ED takov\u00FDch kontaktn\u00EDch \u00FAloh ve 3D. Mimo nonlinearitu zp\u016Fsobenou kontaktem mezi t\u011Blesy budem takt\u00E9\u017E uva\u017Eovat dal\u0161\u00ED nelinearity, jmenovit\u011B pak velk\u00E1 posunut\u00ED a navrhneme algoritmus pro \u0159e\u0161en\u00ED t\u011Bchto \u00FAloh. Numerick\u00E9 experimenty prok\u00E1\u017E\u00ED efektivitu navr\u017Een\u00FDch algoritm\u016F v porovn\u00E1n\u00ED s metodou zalo\u017Eenou na prim\u00E1rn\u00ED penalt\u011B, kter\u00E1 je nejb\u011B\u017En\u011Bji pou\u017E\u00EDv\u00E1na na \u0159e\u0161en\u00ED uveden\u00FDch \u00FAloh."@cs . "contact problems; domain decomposition; scalable algorithms; geometrical nonlinearities; finite element method"@en . "P(GA101/05/0423)" . "2007" . . "Vondr\u00E1k, V\u00EDt" . "4"^^ . . . . "2"^^ . "[A5AEE9BDD4A8]" . "FETI domain decomposition method to solution of contact problems with large displacements" . "FETI domain decomposition method to solution of contact problems with large displacements"@en . "Dobi\u00E1\u0161, Ji\u0159\u00ED" . . . "RIV/61989100:27240/07:00014983" . "GR - \u0158eck\u00E1 republika" . "8"^^ . "FETI domain decomposition method to solution of contact problems with large displacements" . . . . "55" . .