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• W2117887684 abstract "Abstract This paper provides a proof of the robustness of the overlapping domain decomposition preconditioners for the linear finite element approximation of second‐order elliptic boundary value problems with strongly discontinuous coefficients. By analyzing the eigenvalue distribution of the domain decomposition preconditioned system, we prove that only a small number of eigenvalues may deteriorate with respect to the discontinuous jump or mesh size, and all the other eigenvalues are bounded below and above nearly uniformly with respect to the jump and mesh size. As a result, we prove that the convergence rate of the preconditioned conjugate gradient methods is nearly uniform with respect to the large jump and mesh size. Copyright © 2008 John Wiley & Sons, Ltd." @default.
• W2117887684 created "2016-06-24" @default.
• W2117887684 creator A5036190787 @default.
• W2117887684 date "2008-01-07" @default.
• W2117887684 modified "2023-09-27" @default.
• W2117887684 title "Domain decomposition preconditioners for elliptic equations with jump coefficients" @default.
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• W2117887684 doi "https://doi.org/10.1002/nla.566" @default.
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