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Titlebook: Robust Multi-Grid Methods; Proceedings of the F Wolfgang Hackbusch Conference proceedings 1989 Springer Fachmedien Wiesbaden 1989 Computer.

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Multigrid with ILU-smoothing: systematic tests and improvements,nt. In particular, the robustness of a multigrid method and that of the underlying smoother are closely related. ILU is generally considered to provide a particularly robust smoothing process. Although often more robust than Standard relaxation methods, ILU is not really robust in a strict sense. Th
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Multilevel Preconditioning Matrices and Multigrid V-Cycle Methods,re derived by an approximate block-factorization of the stiffness matrix computed by piecewise linear nodal basis functions. The block ordering of the nodes corresponds to a certain refining procedure, which starting with a coarse triangulation of the considered plane polygonal region generates succ
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Effective Preconditioning for Spectral Multigrid Methods,s only 0(N.lnN) Operations are necessary for the evaluation of the spectral residual. We investigate effective preconditioners for SMG based on line relaxation techniques and show the robustness of minimal residual relaxation. We also present numerical results for L-shaped regions where the Schwarz alternating procedure has been used.
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Multigrid and Defect Correction for the Steady Navier-Stokes Equations,ation with inside the latter, Newton iteration as a basic Solution method. The multigrid echnique appears to be very efficient for smooth as well as non-smooth problems. Iterative defect correction appears to be very efficient for smooth problems only, though still reasonably efficient for non-smooth Problems.
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Multigrid with ILU-smoothing: systematic tests and improvements,er uses alternating ILU-smoothing. A smoothing process which turns out to be robust for all kinds of anisotropic model problems is obtained by combining both techniques: the alternating modified ILU-smoothing.
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