Title :
Solution of the finite element vector Helmholtz equation by means of eigenvalue displacement
Author_Institution :
Messina Univ., Italy
fDate :
6/1/2006 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2006.875497
