A Modified Plane Wave Enrichment to Solve 2-D Electromagnetic Problems Using the Generalized Finite-Element Method

Author

Adriano, Ricardo ; Gomes Facco, Werley ; Silva, Elson J.

Author_Institution

Dept. of Electr. Eng., Fed. Univ. of Minas Gerais, Belo Horizonte, Brazil

Volume

51

Issue

3

fYear

2015

fDate

Mar-15

Firstpage

1

Lastpage

4

Abstract

This paper addresses the generalized finite-element method enriched by plane waves for the 2-D Helmholtz equation. The enrichment function is modified to reduce the effect of numerical dispersion from coarse meshes and to make it possible to treat essential boundary conditions in a straightforward way. Two numerical examples, the free space propagation problem and the plane wave scattering by a cylinder, demonstrate the effectiveness of the new enrichment function.

Keywords

Helmholtz equations; electromagnetic wave propagation; electromagnetic wave scattering; finite element analysis; 2D Helmholtz equation; 2D electromagnetic problems; boundary conditions; coarse meshes; free space propagation problem; generalized finite-element method; modified plane wave enrichment; numerical dispersion; plane wave scattering; Approximation methods; Boundary conditions; Dispersion; Finite element analysis; Nickel; Scattering; Essential boundary condition; generalized finite-element method (GFEM); plane wave enrichment;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2014.2362102

Filename

7093394