Handling Material Discontinuities in the Generalized Finite Element Method to Solve Wave Propagation Problems

Author

Facco, Werley Gomes ; Silva, Elson José ; Moura, Alex Sander ; Lima, Naí-sses Zoia ; Saldanha, Rodney Rezende

Author_Institution

Dept. of Exact Sci., Fed. Univ. of the Vales Jequitinhonha & Mucuri, Teofilo Otoni, Brazil

Volume

48

Issue

2

fYear

2012

Firstpage

607

Lastpage

610

Abstract

To solve wave propagation problems involving change of medium, many authors employ the generalized finite element method with plane wave enrichment and Lagrange multipliers to ensure interface constraints. However this approach produces ill conditioned and nonpositive definite systems, making it hard to solve. This paper presents an approach based on the mortar element method that substitutes the Lagrange multipliers with the advantage of generating sparse and positive definite systems. Various numerical aspects affecting the generalized finite element method efficiency are analyzed by solving a 2-D scattering problem.

Keywords

electromagnetic wave propagation; electromagnetic wave scattering; finite element analysis; 2-D scattering problem; Lagrange multipliers; generalized finite element method; material discontinuities; mortar element method; positive definite systems; sparse; time harmonic electromagnetic scattering problem; wave propagation; Approximation methods; Equations; Finite element methods; Magnetic domains; Magnetic resonance imaging; Materials; Sparse matrices; Generalized finite element method; Lagrange multipliers; mortar element methods; scattering problems;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2011.2173309

Filename

6136570