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Solution of the finite element vector Helmholtz equation by means of eigenvalue displacement

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1 Author(s)
Borzi, G. ; Messina Univ., Italy

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.

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Antennas and Propagation, IEEE Transactions on  (Volume:54 ,  Issue: 6 )