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

Author

Atlamazoglou, Prodromos E. ; Pagiatakis, Gerasimos C. ; Uzunoglu, Nikolaos K.

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens, Greece

Volume

47

Issue

6

fYear

1999

fDate

6/1/1999 12:00:00 AM

Firstpage

1071

Lastpage

1079

Abstract

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

Keywords

electromagnetic wave scattering; finite element analysis; 3D electromagnetic scattering; EM scattering; computational requirement; finite-element discretization; finite-element method; multigrid techniques; multilevel formulation; nodal basis functions; numerical representation; total magnetic field formulation; vector absorbing boundary condition; Boundary conditions; Electromagnetic scattering; Finite difference methods; Finite element methods; Iterative methods; Magnetic fields; Multigrid methods; Testing; Time domain analysis; Transmission line matrix methods;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.777134

Filename

777134