Efficient absorbing boundary conditions for the finite element solution of 3D scattering problems

Author

Belhora, A.K. ; Pichon, L.

Author_Institution

Lab. de Genie Electr. de Paris, Paris VI Univ., France

Volume

31

Issue

3

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

1534

Lastpage

1537

Abstract

3D finite element formulations for scattering problems in unbounded space are presented. Absorbing boundary conditions deduced from Sommerfeld radiation boundary condition and Bayliss-Turkel radiation boundary condition are joined to Maxwell´s equations. The variational formulation is discretized with H(curl) finite elements (edge elements) and leads to symmetric matrices for which a diagonal preconditioned bi conjugate gradient (PBCG) is used. The numerical method is tested in the scattering by a perfectly conducting sphere

Keywords

Maxwell equations; boundary integral equations; conjugate gradient methods; electromagnetic wave scattering; finite element analysis; matrix algebra; 3D FEM formulations; 3D scattering problems; Bayliss-Turkel radiation boundary condition; Maxwell equations; Sommerfeld radiation boundary condition; absorbing boundary conditions; diagonal preconditioned bi conjugate gradient; finite element solution; numerical method; perfectly conducting sphere; symmetric matrices; unbounded space; variational formulation; Boundary conditions; Electromagnetic radiation; Electromagnetic scattering; Estimation error; Finite element methods; Integral equations; Lead; Maxwell equations; Symmetric matrices; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.376322

Filename

376322