The numerical discretization of the field inside a cavity by means of edge elements, results in a generalized algebraic eigenvalues problem which contains several undesired null eigenvalues. This occurrence prevents the effective use of iterative eigensolvers. To overcome this difficulty, a complementary eigenproblem has been proposed in the literature. The present paper extends this method by introducing a family of algebraically built complementary eigenproblems, and determines by numerical experiments and heuristics which complementary eigenproblems are best suited for the preconditioned inverse iteration eigensolver and the Lanczos method.
Computing cavity resonances using eigenvalues displacement
BORZI', Giuseppe
2004-01-01
Abstract
The numerical discretization of the field inside a cavity by means of edge elements, results in a generalized algebraic eigenvalues problem which contains several undesired null eigenvalues. This occurrence prevents the effective use of iterative eigensolvers. To overcome this difficulty, a complementary eigenproblem has been proposed in the literature. The present paper extends this method by introducing a family of algebraically built complementary eigenproblems, and determines by numerical experiments and heuristics which complementary eigenproblems are best suited for the preconditioned inverse iteration eigensolver and the Lanczos method.Pubblicazioni consigliate
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