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National Repository of Grey Literature

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	Scalable algorithm for non-linear problems of solid mechanics Dobiáš, Jiří ; Pták, Svatopluk ; Dostál, Z. ; Kozubek, T. ; Markopoulos, A. The paper is concerned with a novel algorithm for solution to contact problems stemming from the TFETI domain decomposition method.Our new algorithm exhibits both parallel and numerical scalabilities. Numerical experiments include solutions to steady-state problems with non-linear effects. Detailed record
	Vývoj efektivního paralelního BDDC řešiče pro úlohy lineární pružnosti Šístek, Jakub ; Čertíková, Marta ; Burda, P. ; Neumanová, E. ; Pták, Svatopluk ; Novotný, Jaroslav ; Damašek, Alexandr Our goal is to develop an efficient implementation of the BDDC method, which could be used fo solution of large problems of today's computational mechanics and structural analysis. A parallel approach is necessary for the usage of powerfull computer resources. We present results of computations of practical problems in 3D elasticty. Detailed record
	Škálovatelné algoritmy pro řešení kontaktních problémů s geometrickými a materiálovými nel Dobiáš, Jiří ; Pták, Svatopluk ; Dostál, Z. ; Vondrák, V. The paper describes a new version of FETI domain decomposition method and its application to contact problems. Detailed record
	Semikoercivní kontaktní problémy Pták, Svatopluk ; Dobiáš, Jiří ; Dostál, Z. ; Vondrák, V. This paper is concerned with application of the Finite Element Tearing and Interconnecting domain decomposition method to solution to contact problems. Then results of numerical experiments are show for some semi-coercive cases. Detailed record
	FETI based solution of contact problems with large displacements Dostál, Z. ; Horák, D. ; Vondrák, V. ; Dobiáš, Jiří ; Pták, Svatopluk ; Gabriel, Dušan The paper deals with application of the FETI (Finite Element Tearing and Interconnecting) method to finite element solution of contact problems while taking into account another nonlinearity, namely the large displacements and rotations. Detailed record
	FETI decomposition method applied to solution of contact problem with large displacements Dobiáš, Jiří ; Pták, Svatopluk ; Gabriel, Dušan ; Dostál, Z. ; Vondrák, V. ; Horák, D. The paper deals with application of the FETI (Finite Element Tearing and Interconnecting) method to finite element solution of contact problems while taking into account another nonlinearity, namely the large displacements and rotations. We show, in terms of numerical experiments (i) performance of the algorithms stemming from the FETI method, in particular its numerical and parallel scalabilities and optimelity of the dual penalty, and (ii) solution of a Hertzian contact problem, i.e. achieved accuracy of the numerical solution by comparison with the analytical one, and the convergence rate. Detailed record
	Numerical and experimental study of stress wave propagation in thin steel plate Kolman, R. ; Kuliš, Z. ; Trnka, Jan ; Plešek, Jiří ; Pták, Svatopluk The paper deals with the research wave propagation in the thin isotropic plate. The problem is solved both numerically and experimantally. The full- fiel visualisation of the displacements caused by generated waves was carried out by double-pulse holointerferometry. The perpendicular impact to the surface of the plate was generated by means of a sample with an exploding wire. The numerical and experimental results are compared and discused. Detailed record
	Vliv aproximačních funkcí, integrace a Poissonova čísla na vlastnosti některých 2D konečných prvků Pták, Svatopluk Displacement response of bilinear and biquadratic isoparametric elements is investigated in terms of eigenpairs of stiffness matrices. Analysed matrices are computed for various values of Poissons ratio, degrees of numerical integration and various types of constraints on strain and/or displacement components. Constraints are imposed via projection methods. Stress components and stress invariants corresponding to eigenvectors are also analysed. Detailed record
	Some aspects of independent approximations of displacement, strain and stress fields in FEM Pták, Svatopluk Detailed record
	Contact-Impact Problems Dobiáš, Jiří ; Pták, Svatopluk Detailed record

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