Computational Technology Resources - CSETS

F. Magoulès

Office National d'Études et de Recherche Aérospatiales, Chatillon, France

doi:10.4203/csets.9.8

F. Magoulès, "Parallel Algorithms for Time-harmonic Hyperbolic Problems", in B.H.V. Topping, (Editor), "Computational Mechanics using High Performance Computing", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 8, pp 151-183, 2002. doi:10.4203/csets.9.8

Abstract

In this chapter the classical domain decomposition methods to solve linear system of equations arising from the finite element discretization of elliptic partial differential equations are presented. Mainly the analysis of the model Helmholtz equation is considered in bounded domains with first order absorbing boundary conditions. The Schwarz algorithm and the Lagrange multipliers based domain decomposition methods are described in a common formalism and detailed in a continuous and a discrete approach. The main features of their numerical analysis and their distributed parallel implementation are also presented.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 9 COMPUTATIONAL MECHANICS USING HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Chapter 8 Parallel Algorithms for Time-harmonic Hyperbolic Problems F. Magoulès Office National d'Études et de Recherche Aérospatiales, Chatillon, France doi:10.4203/csets.9.8 purchase the full-text of this chapter Full Bibliographic Reference for this chapter F. Magoulès, "Parallel Algorithms for Time-harmonic Hyperbolic Problems", in B.H.V. Topping, (Editor), "Computational Mechanics using High Performance Computing", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 8, pp 151-183, 2002. doi:10.4203/csets.9.8 Abstract In this chapter the classical domain decomposition methods to solve linear system of equations arising from the finite element discretization of elliptic partial differential equations are presented. Mainly the analysis of the model Helmholtz equation is considered in bounded domains with first order absorbing boundary conditions. The Schwarz algorithm and the Lagrange multipliers based domain decomposition methods are described in a common formalism and detailed in a continuous and a discrete approach. The main features of their numerical analysis and their distributed parallel implementation are also presented. purchase the full-text of this chapter (price £20) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £90 +P&P)
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