A multilevel formulation of the finite-element method for electromagnetic scattering

A multilevel formulation of the finite-element method for electromagnetic scattering

Multigrid techniques for three-dimensional (3-D) electromagnetic scattering problems are presented. The numerical representation of the physical problem is accomplished via a finite-element discretization, with nodal basis functions. A total magnetic field formulation with a vector absorbing boundar...

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Veröffentlicht in:IEEE transactions on antennas and propagation 1999-06, Vol.47 (6), p.1071-1079
Hauptverfasser: Atlamazoglou, P.E., Pagiatakis, G.C., Uzunoglu, N.K.
Format: Artikel
Sprache:eng
Schlagworte:
Absorbing
Absorption
Algorithms
Boundary conditions
Discretization
Electromagnetic scattering
Finite difference methods
Finite element method
Finite element methods
Iterative methods
Magnetic fields
Mathematical analysis
Mathematical models
Multigrid methods
Multilevel
Testing
Time domain analysis
Transmission line matrix methods
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Beschreibung
Zusammenfassung:Multigrid techniques for three-dimensional (3-D) electromagnetic scattering problems are presented. The numerical representation of the physical problem is accomplished via a finite-element discretization, with nodal basis functions. A total magnetic field formulation with a vector absorbing boundary condition (ABC) is used. The principal features of the multilevel technique are outlined. The basic multigrid algorithms are described and estimations of their computational requirements are derived. The multilevel code is tested with several scattering problems for which analytical solutions exist. The obtained results clearly indicate the stability, accuracy, and efficiency of the multigrid method.
ISSN:0018-926X
1558-2221
DOI:10.1109/8.777134