Multilevel Block Factorization Preconditioners (Record no. 38468)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03383n a2200385#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5000018 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140637.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387715643 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-0-387-71564-3 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 978-0-387-71564-3 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBF |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT002050 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.5 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos) |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Vassilevski, Panayot S. |
| 9 (RLIN) | 9366 |
| 245 10 - TITLE STATEMENT | |
| Title | Multilevel Block Factorization Preconditioners |
| Medium | [electronic resource]: |
| Remainder of title | Matrix-based Analysis and Algorithms for Solving Finite Element Equations/ |
| Statement of responsibility, etc. | by Panayot S. Vassilevski. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Springer New York, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIV, 530p. 34 illus. |
| Other physical details | digital. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Part I: Motivation for preconditioning. A finite element tutorial. The main goal -- Part II: Block factorization preconditioners. Two-by-two block matrices. Classical examlpes of block factorizations. Multigrid (MG). Topics in algebraic multigrid (AMG). Domain Decomposition (DD) Methods. Preconditioning nonsymmetric and indefinite matrices. Preconditioning saddle-point matrices. Variable-step iterative methods. Preconditioning nonlinear problems. Quadratic constrained minimization problems -- Part III: Appendices. GCG Methods. Properties of finite element matrices. Further details. Computable scales of Sobolev norms. Multilevel algorithms for boundary extension mappings. H01norm characterization. MG convergence results for finite element problems -- Some auxiliary inequalities . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. Topics covered include the classical incomplete block-factorization preconditioners and the most efficient methods such as the multigrid, algebraic multigrid, and domain decomposition. Additionally, the author discusses preconditioning of saddle-point, nonsymmetric and indefinite problems, as well as preconditioning of certain nonlinear and quadratic constrained minimization problems that typically arise in contact mechanics. The book presents analytical as well as algorithmic aspects. 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 . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 9 (RLIN) | 43458 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Matrix theory |
| 9 (RLIN) | 9116 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Differential equations, Partial. |
| 9 (RLIN) | 43542 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computer science |
| General subdivision | Mathematics. |
| 9 (RLIN) | 37772 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Matemáticas Gerais- |
| Description subdivision | (inclusive alguns textos elementares sobre assuntos específicos) |
| Linkage | 23752 |
| 710 1# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service). |
| 9 (RLIN) | 8857 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9780387715636 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-0-387-71564-3">http://dx.doi.org/10.1007/978-0-387-71564-3</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | E-Book |
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