DocumentCode
959128
Title
Solution of the finite element vector Helmholtz equation by means of eigenvalue displacement
Author
Borzì, Giuseppe
Author_Institution
Messina Univ., Italy
Volume
54
Issue
6
fYear
2006
fDate
6/1/2006 12:00:00 AM
Firstpage
1758
Lastpage
1765
Abstract
In this paper, after an examination of the spectrum of the system matrix of the discrete vector Helmholtz equation, a novel technique that makes edge finite element matrices more suitable for Lanczos-based solvers is introduced. This technique works by displacing the eigenvalues related to static modes to a more favorable part of the spectrum. The displacement is achieved by means of a matrix that is added to the system matrix.
Keywords
Helmholtz equations; computational electromagnetics; eigenvalues and eigenfunctions; finite element analysis; matrix algebra; Lanczos-based solver; discrete vector Helmholtz equation; eigenvalue displacement; finite element method; system matrix; Convergence; Eigenvalues and eigenfunctions; Equations; Finite element methods; Frequency domain analysis; Helium; Iterative algorithms; Iterative methods; Matrix decomposition; Symmetric matrices; Eigenvalues; finite elements;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/TAP.2006.875497
Filename
1638372
Link To Document