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- W2032968274 abstract "This paper analyzes multigrid preconditioners designed to accelerate the convergence of various singularly perturbed boundary value problems for which the coefficients of low-order derivative terms are multiplied by a large parameter K The multigrid preconditioner is not applied to the given operator, but rather to a simpler operator (such as the Laplacian) for which its implementation can be carried out much more efficiently. The preconditioner is shown to be effective for all $K geqq 0$ provided the coarsest grid size is suitably chosen in terms of K. The multigrid algorithm does not solve the coarse-grid equations but consists of, at most, a few relaxation sweeps on this grid level. The main results are proved for a $mathcal{W}$ cycle and a “variable” $mathcal{V}$ cycle using Fourier analysis, Numerical experiments indicate the validity of these results for a standard $mathcal{V}$ cycle as well." @default.
- W2032968274 created "2016-06-24" @default.
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- W2032968274 date "1989-10-01" @default.
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- W2032968274 title "Analysis and Application of Multigrid Preconditioners for Singularly Perturbed Boundary Value Problems" @default.
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- W2032968274 doi "https://doi.org/10.1137/0726061" @default.
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