Computational Technology Resources - CSETS

L.M. Carvalho and L. Giraud

Centre Europeen de Recherche et de Formation Avancee en Calcul Scientifique (CERFACS), Toulouse, France

doi:10.4203/csets.1.3

L.M. Carvalho, L. Giraud, "Block Diagonal Preconditioners for the Schur Complement Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Innovative Computational Methods for Structural Mechanics", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 3, pp 55-76, 1999. doi:10.4203/csets.1.3

Abstract

We present numerical methods for solving systems of linear equations originated from the discretisation of two-dimensional elliptic partial differential equations. We are interested in differential equations that describe hetrogeneous and anisotropic phenomena. We use a non-overlapping domain decomposition method for solving the linear systems. We describe new local preconditioners for the interface problems that have a numerical behaviour better than the block Jacobi preconditioner and almost the same computational complexity. We show a set of experiments for comparing the numerical performance of the local preconditioners.

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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: 1 INNOVATIVE COMPUTATIONAL METHODS FOR STRUCTURAL MECHANICS Edited by: M. Papadrakakis, B.H.V. Topping Chapter 3 Block Diagonal Preconditioners for the Schur Complement Method L.M. Carvalho and L. Giraud Centre Europeen de Recherche et de Formation Avancee en Calcul Scientifique (CERFACS), Toulouse, France doi:10.4203/csets.1.3 purchase the full-text of this chapter Full Bibliographic Reference for this chapter L.M. Carvalho, L. Giraud, "Block Diagonal Preconditioners for the Schur Complement Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Innovative Computational Methods for Structural Mechanics", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 3, pp 55-76, 1999. doi:10.4203/csets.1.3 Abstract We present numerical methods for solving systems of linear equations originated from the discretisation of two-dimensional elliptic partial differential equations. We are interested in differential equations that describe hetrogeneous and anisotropic phenomena. We use a non-overlapping domain decomposition method for solving the linear systems. We describe new local preconditioners for the interface problems that have a numerical behaviour better than the block Jacobi preconditioner and almost the same computational complexity. We show a set of experiments for comparing the numerical performance of the local preconditioners. 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 £95 +P&P)
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