03191nam 2200661 a 450 991045173670332120200520144314.01-281-85367-497866118536790-387-71564-910.1007/978-0-387-71564-3(CKB)1000000000492067(EBL)372343(OCoLC)304518816(SSID)ssj0000206485(PQKBManifestationID)11206829(PQKBTitleCode)TC0000206485(PQKBWorkID)10214347(PQKB)10279993(DE-He213)978-0-387-71564-3(MiAaPQ)EBC372343(PPN)130183377(Au-PeEL)EBL372343(CaPaEBR)ebr10253758(CaONFJC)MIL185367(EXLCZ)99100000000049206720090223d2008 uy 0engur|n|---|||||txtccrMultilevel block factorization preconditioners[electronic resource] matrix-based analysis and algorithms for solving finite element equations /Panayot S. Vassilevski1st ed. 2008.New York Springer20081 online resource (535 p.)Description based upon print version of record.0-387-71563-0 Includes bibliographical references and index.pt. 1. Motivation for preconditioning -- pt. 2. Block factorization preconditioners -- pt. 3. Appendices.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.Differential equations, LinearNumerical solutionsDifferential equations, PartialNumerical solutionsFinite element methodElectronic books.Differential equations, LinearNumerical solutions.Differential equations, PartialNumerical solutions.Finite element method.515.354530.155353Vasilevski Panaĭot922029MiAaPQMiAaPQMiAaPQBOOK9910451736703321Multilevel block factorization preconditioners2069036UNINA