Title | ||
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Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. |
Abstract | ||
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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 |
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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 Xiang | 1 | 106 | 12.48 |
Frédéric Nataf | 2 | 248 | 29.13 |