EUDML | Smoothed prolongation multigrid with rapid coarsening and massive smoothing

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Displaying similar documents to “Smoothed prolongation multigrid with rapid coarsening and massive smoothing”

Numerical study of two sparse AMG-methods

Janne Martikainen (2003)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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A sparse algebraic multigrid method is studied as a cheap and accurate way to compute approximations of Schur complements of matrices arising from the discretization of some symmetric and positive definite partial differential operators. The construction of such a multigrid is discussed and numerical experiments are used to verify the properties of the method.

Behavior of plane relaxation methods as multigrid smoothers.

Llorente, Ignacio M., Melson, N.Duane (2000)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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Multigrid algorithm with conditional coarsening for the non-aligned sonic flow.

Diskin, Boris (1997)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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A parallel multigrid method using the full domain partition.

Mitchell, William F. (1997)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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An aggregation-based algebraic multigrid method.

Notay, Yvan (2010)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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Adaptive reduction-based multigrid for nearly singular and highly disordered physical systems.

Brannick, J., Frommer, A., Kahl, K., Maclachlan, S., Zikatanov, L. (2010)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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On the convergence of multigrid methods for flow problems.

Persson, Ingemar, Samuelsson, Klas, Szepessy, Anders (1999)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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Directional coarsening and smoothing for anisotropic Navier-Stokes problems.

Mavriplis, Dimitri J. (1997)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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On multigrid for linear complementarity problems with application to American-style options.

Oosterlee, C.W. (2003)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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Algebraic domain decomposition solver for linear elasticity

Aleš Janka (1999)

Applications of Mathematics

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We generalize the overlapping Schwarz domain decomposition method to problems of linear elasticity. The convergence rate independent of the mesh size, coarse-space size, Korn’s constant and essential boundary conditions is proved here. Abstract convergence bounds developed here can be used for an analysis of the method applied to singular perturbations of other elliptic problems.