Alternating oblique projections for coupled linear systems

Autor:	Luis Manuel Hernández-Ramos
Rok vydání:	2005
Předmět:	Nonlinear conjugate gradient method Preconditioner Applied Mathematics Conjugate gradient method Mathematical analysis Conjugate residual method Domain decomposition methods Derivation of the conjugate gradient method Gradient descent Gradient method Mathematics
Zdroj:	Numerical Algorithms. 38:285-303
ISSN:	1572-9265 1017-1398
DOI:	10.1007/s11075-004-5882-0
Popis:	In this work we propose the use of alternating oblique projections (AOP) for the solution of the saddle points systems resulting from the discretization of domain decomposition problems. These systems are called coupled linear systems. The AOP method is a descent method in which the descent direction is defined by using alternating oblique projections onto the search subspaces. We prove that this method is a preconditioned simple gradient (Uzawa) method with a particular preconditioner. Finally, a preconditioned conjugate gradient based version of AOP is proposed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::569f41f6c30ae2a16df8c261bcee2d68 https://doi.org/10.1007/s11075-004-5882-0 Zobrazit plný text záznamu Full text from SpringerLink