| Multilevel Block Factorization Preconditioners: Matrix-Based Analysis and Algorithms for Solving Finite Element Equations 2008 Edition Contributor(s): Vassilevski, Panayot S. (Author) |
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ISBN: 0387715630 ISBN-13: 9780387715636 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: August 2008 Annotation: This monograph is the first book to provide a comprehensive, self-contained, and rigorous presentation of the most powerful preconditioning methods for solving finite element equations, viewed as certain block-matrix factorizations. It covers both algorithms and analysis, and uses a common block-matrix factorization approach that makes the treatment unique. Topics covered include the classical incomplete block-factorization preconditioners, efficient methods such as the multigrid, algebraic multigrid, domain decomposition, preconditioning of saddle-point, nonsymmetrical and indefinite problems, as well as preconditioning of certain nonlinear and quadratic constrained minimization problems that typically arise in contact mechanics. With excellent coverage of the important developments in the field and the high level of rigor, depth, and mathematical precision, this timely publication will serve as an indispensable reference for researchers, graduate students, and practitioners. It can also be used as a supplementary text for a topics course covering preconditioning and/or multigrid methods at the graduate level. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Differential Equations - General - Mathematics | Number Systems |
| Dewey: 530.155 |
| LCCN: 2007939248 |
| Physical Information: 1.1" H x 6.3" W x 9.3" (1.90 lbs) 530 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This monograph is the first to provide a comprehensive, self-contained and rigorous presentation of some of the most powerful preconditioning methods for solving finite element equations in a common block-matrix factorization framework. The book covers both algorithms and analysis using a common block-matrix factorization approach which emphasizes its unique feature. Topics covered include the classical incomplete block-factorization preconditioners, the most efficient methods such as the multigrid, algebraic multigrid, and domain decomposition. This text can serve as an indispensable reference for researchers, graduate students, and practitioners. It can also be used as a supplementary text for a topics course in preconditioning and/or multigrid methods at the graduate level. |