Condition number analysis for various forms of block matrix preconditioners

0350870 - ÚGN 2011 RIV US eng J - Článek v odborném periodiku
Axelsson, Owe - Karátson, J.
Condition number analysis for various forms of block matrix preconditioners.
Electronic Transactions on Numerical Analysis. Roč. 36, č. 36 (2010), s. 168-194. ISSN 1068-9613. E-ISSN 1068-9613
Grant CEP: GA AV ČR 1ET400300415
Výzkumný záměr: CEZ:AV0Z30860518
Klíčová slova: preconditioning * Poincar´e–Steklov operator * strengthened Cauchy-Schwarz-Bunyakowski inequality * approximate block factorization * Schur complement
Kód oboru RIV: JC - Počítačový hardware a software
Impakt faktor: 0.579, rok: 2010
http://etna.mcs.kent.edu/ http://arl-repository.lib.cas.cz/uloziste_av/UGN-S/cav_un_epca-0350870_01.pdf

Various forms of preconditioners for elliptic finite element matrices are studied, based on suitable block matrix partitionings. Bounds for the resulting condition numbers are given, including a study of sensitivity to jumps in the coefficients and to the constant in the strengthened Cauchy-Schwarz-Bunyakowski inequality.
Trvalý link: http://hdl.handle.net/11104/0190753