DAUNT 发表于 2025-3-26 23:49:53
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1571-5698 rge sparse linear systems at every iteration, which are themselves often solved by multigrid methods. Developing robust and efficient multigrid algorithms is thus of great importance. The original multigrid algorithm was developed for the Poisson equation in a square, discretized by finite differences on a un978-1-4757-3726-4Series ISSN 1571-5698GRUEL 发表于 2025-3-27 07:21:36
Yair Shapirags-und Randwertproblemen bei gewöhnlichen Differentialgleichungen, • Eigenwertaufgaben bei Matrizen, • Approximationstheorie und Rechnerarithmetik. Auf die Behandlung der Numerik partieller Differentialgleichungen s978-3-322-96839-5忍耐 发表于 2025-3-27 12:25:22
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The Black-Box Multigrid Methodalso show how the method should be modified for a most difficult problem arising from the finite-volume discretization of a diffusion problem with discontinuous coefficients. The method can be easily extended to uniform cubic grids and coefficient matrices with 27-point stencil.Calculus 发表于 2025-3-28 09:46:00
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Matrix-Based Multigrid for Locally Refined Meshesficients to the PDE and the meshsize. Although the diagonaldominance assumptions are rather strong, they are nevertheless satisfied in the present numerical examples that illustrate the usefulness of the method for standard and parallelizable multigrid cycles.