On the parallel domain decomposition algorithms for time-dependent problems.
Lapin, A., Pieskä, J. (2002)
Lobachevskii Journal of Mathematics
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Lapin, A., Pieskä, J. (2002)
Lobachevskii Journal of Mathematics
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Daněk, Josef
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The paper presents some results on mathematical simulations of a total knee joint replacement. The finite element method and the non-overlapping decomposition technique for the contact problem in elasticity are applied. Numerical experiments are presented.
Šístek, Jakub, Burda, Pavel, Čertíková, Marta, Novotný, Jaroslav
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Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Krupička, Lukáš, Beneš, Michal
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We present an asynchronous multi-domain time integration algorithm with a dual domain decomposition method for the initial boundary-value problems for a parabolic equation. For efficient parallel computing, we apply the three-field domain decomposition method with local Lagrange multipliers to ensure the continuity of the primary unknowns at the interface between subdomains. The implicit method for time discretization and the multi-domain spatial decomposition enable us to use different...
Mustafa Inc (2004)
Kragujevac Journal of Mathematics
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D. W. Solomon (1971)
Colloquium Mathematicae
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