000			03087nam a22004335i 4500
001			978-0-387-71564-3
003			DE-He213
005			20250710084013.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780387715643 _a99780387715643
024	7		_a10.1007/978-0-387-71564-3 _2doi
082	0	4	_a512.5 _223
100	1		_aVassilevski, Panayot S. _eauthor.
245	1	0	_aMultilevel Block Factorization Preconditioners _h[recurso electrónico] : _bMatrix-based Analysis and Algorithms for Solving Finite Element Equations / _cby Panayot S. Vassilevski.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_aXIV, 530p. 34 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aMotivation for Preconditioning -- A Finite Element Tutorial -- A Main Goal -- Block Factorization Preconditioners -- Two-by-Two Block Matrices and Their Factorization -- Classical Examples of Block-Factorizations -- Multigrid (MG) -- Topics on 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.
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.
650		0	_aMATRIX THEORY.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aCOMPUTER SCIENCE _xMATHEMATICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aCOMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387715636
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-71564-3 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c58255 _d58255