Computational Technology Resources - CSETS

F. Magoulès

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

doi:10.4203/csets.9.7

F. Magoulès, "Parallel algorithms for Coercive Elliptic Problems", in B.H.V. Topping, (Editor), "Computational Mechanics using High Performance Computing", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 7, pp 135-150, 2002. doi:10.4203/csets.9.7

Abstract

In this chapter classical domain decomposition methods to solve a linear system of equations arising from the finite element discretization of elliptic partial differential equations are presented. The analysis of the model Laplace equation is considered in bounded domains with homogeneous Dirichlet boundary condition. The different methods are described for a continuous and a discrete approach and the main features of their numerical analyses 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 7 Parallel algorithms for Coercive Elliptic Problems F. Magoulès Office National d'Études et de Recherche Aérospatiales, Chatillon, France doi:10.4203/csets.9.7 purchase the full-text of this chapter Full Bibliographic Reference for this chapter F. Magoulès, "Parallel algorithms for Coercive Elliptic Problems", in B.H.V. Topping, (Editor), "Computational Mechanics using High Performance Computing", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 7, pp 135-150, 2002. doi:10.4203/csets.9.7 Abstract In this chapter classical domain decomposition methods to solve a linear system of equations arising from the finite element discretization of elliptic partial differential equations are presented. The analysis of the model Laplace equation is considered in bounded domains with homogeneous Dirichlet boundary condition. The different methods are described for a continuous and a discrete approach and the main features of their numerical analyses 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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