Open AccessMultilevel preconditioners for solving eigenvalue problems occuring in the design of resonant cavities
Author(s) -
Peter Arbenz,
Roman Geus
Publication year - 2003
Publication title -
repository for publications and research data (eth zurich)
Language(s) - English
DOI - 10.3929/ethz-a-006665874
Subject(s) - eigenvalues and eigenvectors , conjugate gradient method , discretization , convergence (economics) , finite element method , mathematics , block (permutation group theory) , mathematical analysis , mathematical optimization , geometry , physics , economics , economic growth , quantum mechanics , thermodynamics
We investigate eigensolvers for computing a few of the smallest eigenvalues of ageneralized eigenvalue problem resulting from thenite element discretization ofthe time independent Maxwell equation. Various multilevel preconditioners areemployed to improve the convergence and memory consumption of the JacobiDavidsonalgorithm and of the locally optimal block preconditioned conjugate gradient(LOBPCG) method. We present numerical results of very large eigenvalueproblems originating from the ...
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