LEADER 03191nam 2200661 a 450 001 9910451736703321 005 20200520144314.0 010 $a1-281-85367-4 010 $a9786611853679 010 $a0-387-71564-9 024 7 $a10.1007/978-0-387-71564-3 035 $a(CKB)1000000000492067 035 $a(EBL)372343 035 $a(OCoLC)304518816 035 $a(SSID)ssj0000206485 035 $a(PQKBManifestationID)11206829 035 $a(PQKBTitleCode)TC0000206485 035 $a(PQKBWorkID)10214347 035 $a(PQKB)10279993 035 $a(DE-He213)978-0-387-71564-3 035 $a(MiAaPQ)EBC372343 035 $a(PPN)130183377 035 $a(Au-PeEL)EBL372343 035 $a(CaPaEBR)ebr10253758 035 $a(CaONFJC)MIL185367 035 $a(EXLCZ)991000000000492067 100 $a20090223d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMultilevel block factorization preconditioners$b[electronic resource] $ematrix-based analysis and algorithms for solving finite element equations /$fPanayot S. Vassilevski 205 $a1st ed. 2008. 210 $aNew York $cSpringer$d2008 215 $a1 online resource (535 p.) 300 $aDescription based upon print version of record. 311 $a0-387-71563-0 320 $aIncludes bibliographical references and index. 327 $apt. 1. Motivation for preconditioning -- pt. 2. Block factorization preconditioners -- pt. 3. Appendices. 330 $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. 606 $aDifferential equations, Linear$xNumerical solutions 606 $aDifferential equations, Partial$xNumerical solutions 606 $aFinite element method 608 $aElectronic books. 615 0$aDifferential equations, Linear$xNumerical solutions. 615 0$aDifferential equations, Partial$xNumerical solutions. 615 0$aFinite element method. 676 $a515.354 676 $a530.155353 700 $aVasilevski$b Panai?ot$0922029 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910451736703321 996 $aMultilevel block factorization preconditioners$92069036 997 $aUNINA