Journal articles
Fast transform based preconditioners for 2D finite-difference frequency-domain : Waveguides and periodic structures
Abstract : The fields scattered by dielectric objects placed inside parallel-plate waveguides and periodic structures in two dimensions may efficiently be computed via a finite-difference frequency-domain (FDFD) method. This involves large, sparse linear systems of equations that may be solved using preconditioned Krylov subspace methods. Our preconditioners involve fast discrete trigonometric transforms and are based on a physical approximation. Simulations show significant gain in terms of computation time and iteration count in comparison with results obtained with preconditioners based on incomplete LU (ILU) factorization. Moreover, with the new preconditioners, the required number of iterations is independent of the grid size.
Mots-clés :
calculation methods
calculation
Helmholtz equations
iterative methods
finite difference method
LU factorization
discrete transforms
linear systems
frequency domain method
parallel plate
periodic structures
waveguides
méthode calcul
technique calcul
équation Helmholtz
méthode itérative
méthode différence finie
factorisation LU
transformation discrète
système linéaire
méthode domaine fréquence
plaque parallèle
structure périodique
guide onde
Cited literature [13 references]
https://hal-enac.archives-ouvertes.fr/hal-01021585
Contributor : Laurence Porte <>
Submitted on : Tuesday, September 23, 2014 - 12:15:04 PM
Last modification on : Thursday, February 7, 2019 - 3:49:01 PM
Long-term archiving on: : Wednesday, December 24, 2014 - 8:49:01 PM
Contributor : Laurence Porte <>
Submitted on : Tuesday, September 23, 2014 - 12:15:04 PM
Last modification on : Thursday, February 7, 2019 - 3:49:01 PM
Long-term archiving on: : Wednesday, December 24, 2014 - 8:49:01 PM
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