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Multigrid methods for variation problems: The V-cycle

✍ Scribed by S.F. McCormick

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
236 KB
Volume
25
Category
Article
ISSN
0378-4754

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✦ Synopsis

In an earlier paper, we developed a convergence theory for a class of multigrid methods applied to differential boundary value problems, where the differential operator is self-adjoint and positive definite.

The multigrid structure assumed a variational setting (although it applies to finite differences as well as finite elements) and incorporated the so-called W-cycle process.

In the present paper, we extend this theory to include some results on the corresponding V-cycle multigrid algorithm.

πŸ“œ SIMILAR VOLUMES

A V-cycle multigrid method for TRUNC pla
A V-cycle multigrid method for TRUNC plate element
✍ Zhong-Ci Shi; Xuejun Xu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 131 KB

In this paper an optimal V-cycle multigrid method is presented for the TRUNC plate element. The uniform convergence rate independent of mesh sizes and levels is established. The method is extended to Bergan's energy-orthogonal plate element.

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