Asynchronous domain decomposition methods for dam and continuous casting problems
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Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Šístek, Jakub, Burda, Pavel, Čertíková, Marta, Novotný, Jaroslav
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Philippe d'Anfray, Laurence Halpern, Juliette Ryan (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we test the feasibility of coupling two heterogeneous mathematical modeling integrated within two different codes residing on distant sites. A prototype is developed using Schwarz type domain decomposition as the mathematical tool for coupling. The computing technology for coupling uses a environment to implement a distributed client-server programming model. Domain decomposition methods are well suited to reducing complex physical phenomena into a sequence of parallel...
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...
Emrah Kılıç, Ilker Akkus, Gonca Kızılaslan (2015)
Special Matrices
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Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formulæ for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues were also presented. In this paper, we define and study a variant of the reciprocal super Catalan matrix with two additional parameters. Explicit formulæ for its LU-decomposition, LUdecomposition of its inverse and the Cholesky decomposition are obtained. For all...
D. W. Solomon (1971)
Colloquium Mathematicae
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Zbigniew Burdak (2004)
Annales Polonici Mathematici
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A review of known decompositions of pairs of isometries is given. A new, finer decomposition and its properties are presented.