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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Displaying similar documents to “An asynchronous three-field domain decomposition method for first-order evolution problems”
Asynchronous domain decomposition methods for dam and continuous casting problems
On construction of the coarse space in the BDDC method
Šístek, Jakub, Burda, Pavel, Čertíková, Marta, Novotný, Jaroslav
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New trends in coupled simulations featuring domain decomposition and metacomputing
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...
On selection of interface weights in domain decomposition methods
Čertíková, Marta, Šístek, Jakub, Burda, Pavel
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Different choices of the averaging operator within the BDDC method are compared on a series of 2D experiments. Subdomains with irregular interface and with jumps in material coefficients are included into the study. Two new approaches are studied along three standard choices. No approach is shown to be universally superior to others, and the resulting recommendation is that an actual method should be chosen based on properties of the problem.
Numerical experiments with multilevel subdomain decomposition method.
Laitinen, E., Lapin, A. V., Pieskä, J. (2003)
Lobachevskii Journal of Mathematics
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A new domain decomposition method for the compressible Euler equations
Victorita Dolean, Frédéric Nataf (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this work we design a new domain decomposition method for the Euler equations in dimensions. The starting point is the equivalence with a third order scalar equation to whom we can apply an algorithm inspired from the Robin-Robin preconditioner for the convection-diffusion equation [Achdou and Nataf, (1997) 1211–1216]. Afterwards we translate it into an algorithm for the initial system and prove that at the continuous level and for a decomposition into sub-domains,...
Optimized Schwarz Methods for the Bidomain system in electrocardiology
Luca Gerardo-Giorda, Mauro Perego (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The propagation of the action potential in the heart chambers is accurately described by the Bidomain model, which is commonly accepted and used in the specialistic literature. However, its mathematical structure of a degenerate parabolic system entails high computational costs in the numerical solution of the associated linear system. Domain decomposition methods are a natural way to reduce computational costs, and Optimized Schwarz Methods have proven in the recent years their effectiveness...