Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A MIXED METHOD OF SUBSPACE ITERATION FOR DIRICHLET EIGENVALUE PROBLEMS

  • Lee, Gyou-Bong (Department of Applied Mathematics Paichai University) ;
  • Ha, Sung-Nam (Department of Mathematics Kyunghee University) ;
  • Hong, Bum-Il (Department of Mathematics Kyunghee University)
  • Published : 1997.03.01

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Abstract

A full multigrid scheme was used in computing some eigenvalues of the Laplace eigenvalues problem with the Dirichlet bound-ary condition. We get a system of algebraic equations with an aid of finite difference method and apply subspace iteration method to the system to compute first some eigenvalues. The result shows that this is very effective in calculating some eigenvalues of this problem.

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References

  1. A Multigrid Tutorial W. Briggs
  2. Multigrid Methods S. McCormick
  3. Math. Comp. v.48 How to Implement the Spectral Transformation B. Nour-Omid;B. Parlett;T. Ericsson;P. Jensen
  4. The Symmetric Eigenvalue Problem B. Parlett
  5. Variational Methods in Mathmatics, Science and Engineering K. Rektorys