New infinite elements for a finite element analysis of 2D scattering problems

Author

Gratkowski, Stanislaw ; Pichon, Lionel ; Razek, Adel

Author_Institution

Dept. of Electr. Eng., Tech. Univ. Szczecin, Poland

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

882

Lastpage

885

Abstract

Two new formulations of infinite elements are proposed. These elements in combination with the conventional finite elements yield coupled finite element formulations for 2D scattering problems. The first formulation works for any shape of the finite element region, while the second one has been developed for a rectangular outer boundary. In comparison with the previous infinite elements, the present infinite elements are constructed in such a way that simple expressions have been obtained for their element matrices. As a result of this, no formula for numerical quadrature over the infinite region is necessary and the infinite elements can easily be incorporated into standard finite element codes. Two numerical examples are given

Keywords

electromagnetic wave scattering; finite element analysis; matrix algebra; 2D scattering problems; element matrices; finite element analysis; finite element codes; finite element region; infinite elements; rectangular outer boundary; Boundary conditions; Code standards; Computational geometry; Finite element methods; H infinity control; Physics computing; Poles and towers; Postal services; Scattering; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497382

Filename

497382