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Úlohy kvadratického programování v řešení polohy svalů a výpočtu jejich aktivity
Vondrák, Vít
Mechanical analysis of the musculoskeletal system of the human is a subject of importance to fundamental research as well as to practical engineering design and medical applications. For instance, we may want to investigate the basic function of the body, or we may want to design an rehabilitation exercise, a man-driven or -operated machine or tool. In either of these cases and many others it will be a great asset to know motion and forces accurately during a given exercise. Computational models can assist us by quantifying certain parameters and estimating performance measures that cannot possibly be measured.
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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.
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