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| 001 | 5000018 | ||
| 003 | DE-He213 | ||
| 005 | 20221213140637.0 | ||
| 007 | cr|||||||||||| | ||
| 008 | 100301s2008 xxu| s |||| 0|eng d | ||
| 020 | _a9780387715643 | ||
| 024 | 7 |
_a10.1007/978-0-387-71564-3 _2doi |
|
| 035 | _a978-0-387-71564-3 | ||
| 072 | 7 |
_aPBF _2bicssc |
|
| 072 | 7 |
_aMAT002050 _2bisacsh |
|
| 082 | 0 | 4 | _a512.5 |
| 090 | _amg | ||
| 100 | 0 |
_aVassilevski, Panayot S. _99366 |
|
| 245 | 1 | 0 |
_aMultilevel Block Factorization Preconditioners _h[electronic resource]: _bMatrix-based Analysis and Algorithms for Solving Finite Element Equations/ _cby Panayot S. Vassilevski. |
| 260 |
_aNew York: _bSpringer New York, _c2008. |
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| 300 |
_aXIV, 530p. 34 illus. _bdigital. |
||
| 505 | 0 | _aPart 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 | _aThis 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 |
_aMathematics _943458 |
|
| 650 | 0 |
_aMatrix theory _99116 |
|
| 650 | 0 |
_aDifferential equations, Partial. _943542 |
|
| 650 | 0 |
_aComputer science _xMathematics. _937772 |
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| 697 |
_aMatemáticas Gerais- _x(inclusive alguns textos elementares sobre assuntos específicos) _923752 |
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| 710 | 1 |
_aSpringerLink (Online service). _98857 |
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| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387715636 |
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-0-387-71564-3 |
| 942 |
_2impa _cEBK |
||
| 999 |
_aVASSILEVSKI, Panayot S. <b> Multilevel Block Factorization Preconditioners: </b> Matrix-based Analysis and Algorithms for Solving Finite Element Equations. New York: Springer New York, 2008. XIV, 530p. 34 illus ISBN 9780387715643. Disponível em: <http://dx.doi.org/10.1007/978-0-387-71564-3 > _c38468 _d38468 |
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