Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems, part II: Convergence theory

Autor:	Tarek P. Mathew
Rok vydání:	1993
Předmět:	Computational Mathematics Elliptic curve Mathematical optimization Rate of convergence Iterative method Iterative refinement Applied Mathematics Numerical analysis Convergence (routing) Applied mathematics Domain decomposition methods Schwarz alternating method Mathematics
Zdroj:	Numerische Mathematik. 65:469-492
ISSN:	0945-3245 0029-599X
DOI:	10.1007/bf01385763
Popis:	In this paper we discuss bounds for the convergence rates of several domain decomposition algorithms to solve symmetric, indefinite linear systems arising from mixed finite element discretizations of elliptic problems. The algorithms include Schwarz methods and iterative refinement methods on locally refined grids. The implementation of Schwarz and iterative refinement algorithms have been discussed in part I. A discussion on the stability of mixed discretizations on locally refined grids is included and quantiative estimates for the convergence rates of some iterative refinement algorithms are also derived.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5103469456137378c8e7fa4e00467c6 https://doi.org/10.1007/bf01385763 Zobrazit plný text záznamu Full text from SpringerLink