Title
Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections.
Abstract
We investigate two-level preconditioners on the extended linear system arising from the domain decomposition method. The additive Schwarz method is used as a smoother, and the coarse grid space is constructed by using the Ritz vectors obtained in the Arnoldi process. The coarse grid space can be improved adaptively as the Ritz vectors become a better approximation of the eigenvectors. Numerical tests on the model problem demonstrate the efficiency.
Year
DOI
Venue
2014
10.1016/j.cam.2013.10.027
J. Computational Applied Mathematics
Keywords
Field
DocType
model problem,coarse grid space,numerical test,adaptive coarse grid correction,domain decomposition method,two-level preconditioners,better approximation,additive schwarz method,two-level algebraic domain decomposition,extended linear system,improved adaptively,arnoldi process
Mathematical optimization,Algebraic number,Linear system,Mathematical analysis,Additive Schwarz method,Ritz method,Schwarz alternating method,Grid,Mathematics,Eigenvalues and eigenvectors,Domain decomposition methods
Journal
Volume
ISSN
Citations 
261
0377-0427
0
PageRank 
References 
Authors
0.34
17
2
Name
Order
Citations
PageRank
Hua Xiang110612.48
Frédéric Nataf224829.13