On the Computation of Approximate Eigenvalues and Eigenfunctions of Elliptic Operators by Means of a Multi-Grid Method
Author:
- W. HackbuschWHW. Hackbusch
- 1 April 1979
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 16 (2) , 201-215
Abstract
The eigenvalues and eigenfunctions can be approximated by finite element methods. Then the original problem is replaced by a finite-dimensional problem. In this paper we propose a multi-grid method for solving these finite-dimensional problems. It is proved that only a small amount of computational work is needed for the approximation of one eigenvalue and the corresponding eigenfunctions.Keywords
This publication has 2 references indexed in Scilit:
- The iterative improvement of eigenvaluesUSSR Computational Mathematics and Mathematical Physics, 1976
- Functional Analysis1974