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Multilevel preconditioners for solving eigenvalue problems occuring in the design of resonant cavities
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Author / Producer
Date
2003
Publication Type
Report
ETH Bibliography
yes
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Abstract
We investigate eigensolvers for computing a few of the smallest eigenvalues of a generalized eigenvalue problem resulting from the finite element discretization of the time independent Maxwell equation. Various multilevel preconditioners are employed to improve the convergence and memory consumption of the Jacobi-Davidson algorithm and of the locally optimal block preconditioned conjugate gra dient (LOBPCG) method. We present numerical results of very large eigenvalue problems originating from the design of resonant cavities of particle accelerators.
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published
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Journal / series
Volume
396
Pages / Article No.
Publisher
ETH Zurich, Department of Computer Science
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Methods
Software
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Date created
Subject
Maxwell equation; Generalized eigenvalue problem; Jacobi-Davidson; LOBPCG; Smoothed aggregation AMG preconditioner
Organisational unit
02150 - Dep. Informatik / Dep. of Computer Science
Notes
Technical Reports D-INFK.