On a Multigrid Eigensolver for Linear Elasticity Problems
In the early eighties the direct application of a multigrid technique for solving the partial eigenvalue problem of computing few of the smallest eigenvalues and their corresponding eigenvectors of a differential operator was proposed by Brandt, McCormick and Ruge . In the present paper an experimental study of the method for model linear elasticity problems is carried out. Based on these results we give some practical advices for a good choice of multigrid-related parameters.
KeywordsEigenvalue Problem Coarse Grid Multigrid Method Coarse Level Linear Elasticity Problem
Unable to display preview. Download preview PDF.
- 2.Hackbusch, W.: Multigrid Methods and Applications. Springer-Verlag, Berlin-Heidelberg-New York (1985)Google Scholar
- 4.Lur'e, A. I.: Theory of Elasticity. Moscow, Nauka (1970)Google Scholar
- 5.Parlett, B.: The Symmetric Eigenvalue Problem. Prentice-Hall, Inc. (1980)Google Scholar
- 6.Trottenberg, U., Oosterlee, C. and Schüller, A.: Multigrid. Academic Press (2001)Google Scholar