Preconditioning Nonconforming Finite Element Methods

Autor:	Charles I. Goldstein
Rok vydání:	1994
Předmět:	Numerical Analysis Computational Mathematics Singular value Elliptic operator Distribution (number theory) Applied Mathematics Conjugate gradient method Convergence (routing) Mathematical analysis Singular value decomposition Boundary value problem Finite element method Mathematics
Zdroj:	SIAM Journal on Numerical Analysis. 31:1623-1644
ISSN:	1095-7170 0036-1429
DOI:	10.1137/0731084
Popis:	This paper is concerned with the H[sup 1]-condition number and singular value distribution of preconditioned nonself adjoint discrete elliptic operators. In particular, a wide class of nonconforming finite element methods are investigated. The main results give a precise interval on which the singular values cluster. Results of this kind have an important bearing on the convergence behavior of the conjugate gradient method applied to the normal equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4e34bf580e599bd3d9fe8a294c4b738e https://doi.org/10.1137/0731084 Zobrazit plný text záznamu