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A multigrid method for the generalized symmetric eigenvalue problem: Part II—performance evaluation

✍ Scribed by T. Hwang; I. D. Parsons

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
987 KB
Volume
35
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The behaviour of the multigrid method is studied by solving some simple test problems. Optimum choices for some of the parameters are discussed, together with effective techniques for solving the coarse mesh correction equation. The effects of ill‐conditioning on the performance of the algorithm are examined. In particular, thin shells and non‐uniform meshes are observed to slow convergence. The solution of practical, large scale problems demonstrates the utility and speed of the proposed multigrid method. For example, the first 10 eigensolutions of a stiffened plate problem with 193 536 degrees‐of‐freedom were computed in 1.6 CPU hours using 42 Mbytes of memory on a Convex C240.

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