"RIV/49777513:23520/01:00066720!RIV/2002/MSM/235202/N" . "Neuveden" . "parallel computing; uunilateral contact problems; domain decomposition; Schur complement; preco"@en . "23520" . . . . "A solving unilateral contact problems with small ranges of contact in 2D elasticity by using parallel computers"@en . . . "Z\u00E1pado\u010Desk\u00E1 univerzita v Plzni" . . "1"^^ . "A solving unilateral contact problems with small ranges of contact in 2D elasticity by using parallel computers"@en . "Z(MSM 235200001)" . "[518A63CD4626]" . "694567" . . "1"^^ . "0"^^ . "1"^^ . "Hlavn\u00ED n\u00E1pln\u00ED pr\u00E1ce je metoda rozkladu oblasti bez p\u0159ekr\u00FDv\u00E1n\u00ED pro \u0159e\u0161en\u00ED varia\u010Dn\u00EDch nerovnic odvozen\u00FDch z eliptick\u00FDch okrajov\u00FDch \u00FAloh ve dvou dimenz\u00EDch s podm\u00EDnkou jednostrann\u00E9ho kontaktu. P\u0159edpokl\u00E1d\u00E1me, \u017Ee kontaktn\u00ED hranice je relativn\u011B mal\u00E1. Nejprve \u0159e\u0161\u00EDme pomocn\u00FD line\u00E1rn\u00ED probl\u00E9m, ve kter\u00E9m nahrad\u00EDme nerovnostn\u00ED podm\u00EDnku podm\u00EDnkou rovnostn\u00ED. \u0158e\u0161en\u00ED pomocn\u00E9ho probl\u00E9mu pou\u017Eijeme v metod\u011B postupn\u00FDch aproximac\u00ED. Pro \u0159e\u0161en\u00ED probl\u00E9mu na spole\u010Dn\u00FDch hranic\u00EDch pou\u017E\u00EDv\u00E1me metodu p\u0159edpodm\u00EDn\u011Bn\u00FDch sdru\u017Een\u00FDch gradient\u016F s Neumann-Neumann p\u0159edpodmi\u0148ova\u010Dem a pro \u0159e\u0161en\u00ED lok\u00E1ln\u00EDch probl\u00E9m\u016F na jednotliv\u00FDch podoblastech je pou\u017Eita p\u0159esn\u00E1 metoda. Je dok\u00E1z\u00E1na konvergence metody postupn\u00FDch aproximac\u00ED a jsou prezentov\u00E1ny v\u00FDsledky numerick\u00FDch experiment\u016F." . "0"^^ . . . "\u0158e\u0161en\u00ED jednostrann\u00E9ho kontaktu mal\u00E9ho rozsahu pru\u017En\u00FDcht\u011Bles ve 2D na paraleln\u00EDch po\u010D\u00EDta\u010D\u00EDch" . . . "\u0158e\u0161en\u00ED jednostrann\u00E9ho kontaktu mal\u00E9ho rozsahu pru\u017En\u00FDcht\u011Bles ve 2D na paraleln\u00EDch po\u010D\u00EDta\u010D\u00EDch"@cs . . "Plze\u0148" . "\u0158e\u0161en\u00ED jednostrann\u00E9ho kontaktu mal\u00E9ho rozsahu pru\u017En\u00FDcht\u011Bles ve 2D na paraleln\u00EDch po\u010D\u00EDta\u010D\u00EDch" . "1"^^ . "The main aim of the task is a nonoverlapping domain decomposition algorithm of Neumann-Neumann type for solving variational inequalities arising from the elliptic boundary value problems in two dimensions with unilateral boundary condition. We suppose that boundary with inequality conditon is relatively small. First, the linear auxiliary problem, where the inequality condition is replaced by the equality condition, is solved. In the second step, the solution of the auxiliary problem is used in a successive approximations method. In these solvers, a preconditioned conjugate gradient method with Neumann-Neumann preconditioner is used for solving the interface problems, while local problems within each subdomain are solved by direct solvers. A convergence of the iterative method is proved and results of computational test are reported."@en . . . "\u0158e\u0161en\u00ED jednostrann\u00E9ho kontaktu mal\u00E9ho rozsahu pru\u017En\u00FDcht\u011Bles ve 2D na paraleln\u00EDch po\u010D\u00EDta\u010D\u00EDch" . "Dan\u011Bk, Josef" . "RIV/49777513:23520/01:00066720" . "\u0158e\u0161en\u00ED jednostrann\u00E9ho kontaktu mal\u00E9ho rozsahu pru\u017En\u00FDcht\u011Bles ve 2D na paraleln\u00EDch po\u010D\u00EDta\u010D\u00EDch"@cs . . . .