Computational Technology Resources - CSETS

F. Magoulès¹ and F.-X. Roux²

¹Applied Mathematics and Systems Laboratory, Ecole Centrale Paris, Chatenay-Malabry, France
²ONERA, Châtillon, France

doi:10.4203/csets.17.4

F. Magoulès, F.-X. Roux, "Algorithms and Theory for Substructuring and Domain Decomposition Methods", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 4, pp 89-118, 2007. doi:10.4203/csets.17.4

Keywords: substructuring, domain decomposition methods, iterative methods, direct methods, Schur complement, FETI, FETI-H.

Abstract

In this chapter the basis of substructuring methods and the most classical domain decomposition methods are presented in an homogenous formulation. Algorithms and implementation details of each method are fully provided for the reader. First, parallel finite element matrix forming based on substructuring is introduced. Then the parallel iterative solution of the linear system is presented. Direct methods with parallel matrix factorisation based on substructuring are then detailed. Finally, several domain decomposition methods including the Schur complement method, the dual Schur complement method, the FETI method and the FETI-H method are described.

purchase the full-text of this chapter (price £25)

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)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 17 MESH PARTITIONING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS Edited by: F. Magoulès Chapter 4 Algorithms and Theory for Substructuring and Domain Decomposition Methods F. Magoulès¹ and F.-X. Roux² ¹Applied Mathematics and Systems Laboratory, Ecole Centrale Paris, Chatenay-Malabry, France ²ONERA, Châtillon, France doi:10.4203/csets.17.4 purchase the full-text of this chapter Full Bibliographic Reference for this chapter F. Magoulès, F.-X. Roux, "Algorithms and Theory for Substructuring and Domain Decomposition Methods", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 4, pp 89-118, 2007. doi:10.4203/csets.17.4 Keywords: substructuring, domain decomposition methods, iterative methods, direct methods, Schur complement, FETI, FETI-H. Abstract In this chapter the basis of substructuring methods and the most classical domain decomposition methods are presented in an homogenous formulation. Algorithms and implementation details of each method are fully provided for the reader. First, parallel finite element matrix forming based on substructuring is introduced. Then the parallel iterative solution of the linear system is presented. Direct methods with parallel matrix factorisation based on substructuring are then detailed. Finally, several domain decomposition methods including the Schur complement method, the dual Schur complement method, the FETI method and the FETI-H method are described. purchase the full-text of this chapter (price £25) 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)
Back to top	©Civil-Comp Limited 2023 - terms & conditions