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- W2146204075 abstract "Domain decomposition methods (DDM) have received much attention in recent years. They constitute the most effective means of using parallel computing resources to model continuous systems. However, combining collocation procedures with domain decomposition methods presents complications that must be overcome in order to profit from the advantages of parallel computing. The present paper belongs to a line of research in which a theory that constitutes a general and systematic formulation of discontinuous Galerkin methods (dG) is being investigated. Based on it, a new method of collocation of general applicability, TH-collocation, was recently introduced. For a broad class of symmetric and positive continuous systems, TH-collocation yields symmetric and positive matrices. This clears the way for applying effectively DDM and parallel computing, in combination with collocation, to such systems. In this paper the general procedure is explained with some detail and then is applied to develop an effective method for processing elliptic equations of second order. This, by the way, overcomes the difficulties encountered in a previous Herrera and Pinder's article. © 2004 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2005." @default.
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- W2146204075 date "2005-01-01" @default.
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- W2146204075 title "A general effective method for combining collocation and DDM: An application of discontinuous Galerkin methods" @default.
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- W2146204075 doi "https://doi.org/10.1002/num.20057" @default.
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