Preconditioning for Regular Elliptic Systems

Autor:	John C. Strikwerda, Hsing-Hsia Chen
Rok vydání:	1999
Předmět:	Dirichlet problem Numerical Analysis Quarter period Applied Mathematics Mathematical analysis Operator theory Jacobi elliptic functions Semi-elliptic operator Computational Mathematics Elliptic curve Elliptic operator Elliptic rational functions Applied mathematics Mathematics
Zdroj:	SIAM Journal on Numerical Analysis. 37:131-151
ISSN:	1095-7170 0036-1429
DOI:	10.1137/s0036142998332190
Popis:	In this paper we examine preconditioning operators for regular elliptic systems of partial differential operators. We obtain general conditions under which the preconditioned systems are bounded. We also provide some useful guidelines for choosing left and right preconditioning operators for regular elliptic systems. The condition numbers of the discrete operators arising from these preconditioned operators are shown to be bounded independent of grid spacing. Several examples of two-dimensional regular elliptic systems are discussed, including scalar elliptic operators and the Stokes operator with several different boundary conditions. Several preconditioners for these regular elliptic systems are presented and used in numerical experiments illustrating the theoretical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ab5b1b58d103465bfd8b0250d1a6ee58 https://doi.org/10.1137/s0036142998332190 Zobrazit plný text záznamu Plný text ve formátu PDF