National Repository of Grey Literature 4 records found  Search took 0.00 seconds. 
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.
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.
Posouzení reprodukovatelnosti experimentu pomocí analýzy metodou konečných prvků
Pták, Svatopluk ; Okrouhlík, Miloslav ; Trnka, Jan
Cylindrical metallic shell subjected to localized impact loading evoking wave response was considered. The paper compares experimental and numerical responses with the intention to discuss the accuracy limits of experimental and numerical approaches.
Metoda rozložení oblasti FETI ve statickém kontaktu
Pták, Svatopluk ; Dobiáš, Jiří ; Dostál, Z. ; Vondrák, V.
Feti method is based on decomposition of the spatial solution domain into non- overlaping sub-domains that are held together by the Lagrange multipliers. After eliminating the primal variables the original problem is transformed to a small, relatively well conditioned quadratic programming problem in the dual variables.

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