Saxe-Coburg Publications - ISBN 978-1-874672-29-6

L. Giraud¹ and L. Giraud²
¹Parallel Algorithms and Optimization Group, LIMA-IRIT (UMR CNRS 5505), ENSEEIHT, Toulouse, France
²Computation, Computers and Mathematics Center, Sandia National Laboratories, Livermore CA, United States of America

Keywords: algebraic preconditioners, matrix partitioning, mesh partitioning, overlapping techniques, non-overlapping approaches, two-level preconditioning.

In this chapter, some popular and well-known domain decomposition preconditioners are described from an algebraic perspective. Specific emphasis is given to techniques that are well-suited to the parallel solution of large-scale scientific applications and industrial numerical simulations. Some computational aspects related to their parallel implementation are also addressed. This chapter is not intended for specialists in domain decomposition but rather for scientists who have some knowledge of linear algebra and discretisation techniques and who would like an introduction to domain decomposition.

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Front Page Publications New Books Edited Books Complete Catalogue Forthcoming Books Our Authors Search Pricelist Ordering Author-zone General Info	MESH PARTITIONING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS Edited by: F. Magoulès Chapter 8 Algebraic Domain Decomposition Preconditioners L. Giraud¹ and L. Giraud² ¹Parallel Algorithms and Optimization Group, LIMA-IRIT (UMR CNRS 5505), ENSEEIHT, Toulouse, France ²Computation, Computers and Mathematics Center, Sandia National Laboratories, Livermore CA, United States of America Keywords: algebraic preconditioners, matrix partitioning, mesh partitioning, overlapping techniques, non-overlapping approaches, two-level preconditioning. In this chapter, some popular and well-known domain decomposition preconditioners are described from an algebraic perspective. Specific emphasis is given to techniques that are well-suited to the parallel solution of large-scale scientific applications and industrial numerical simulations. Some computational aspects related to their parallel implementation are also addressed. This chapter is not intended for specialists in domain decomposition but rather for scientists who have some knowledge of linear algebra and discretisation techniques and who would like an introduction to domain decomposition. Return to the contents page Return to the book description
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