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Abstract: . In this paper we give a convergence analysis of a two-level additive Schwarz method in which the coarse mesh basis is constructed with aggregation, a method common in algebraic multigrid. This coarse mesh does not need geometric information about the subdomains and can readily be used on unstructured spatial meshes. We illustrate the performance with several computational examples. Key words. Domain decomposition, Newton-Krylov-Schwarz methods, Richards' equation, Multiphase flow, nonlinear... (Update)
Context of citations to this paper: More
...column in three dimensions. The simulator uses a Newton BiCGSTAB nonlinear solver [18,19] and a two level additive Schwarz preconditioner [20]. As in x 2.1 we see independence of C n on the mesh. The material domain is 10 meter long heterogeneous column consisting of...
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BibTeX entry: (Update)
E. W. Jenkins, C. T. Kelley, C. T. Miller, and C. E. Kees. An aggregation-based domain decomposition preconditioner for groundwater ow. SIAM J. Sci. Comput., 23:430-441, 2001. http://citeseer.ist.psu.edu/jenkins01aggregationbased.html More
@article{ jenkins02aggregationbased,
author = "E. W. Jenkins and C. E. Kees and C. T. Kelley and C. T. Miller",
title = "An Aggregation-Based Domain Decomposition Preconditioner for Groundwater Flow",
journal = "SIAM Journal on Scientific Computing",
volume = "23",
number = "2",
pages = "430--441",
year = "2002",
url = "citeseer.ist.psu.edu/jenkins01aggregationbased.html" }
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Documents on the same site (http://www4.ncsu.edu/eos/users/c/ctkelley/www/lines.html):
Inexact Newton Methods And The Method Of Lines For.. - Tocci, Kelley, Miller, .. (1998) (Correct)
Nonsmooth Nonlinearities and Temporal Integration.. - Kavanagh, Kelley, .. (Correct)
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