Investigation of Hardy space infinite elements in a discontinuous Galerkin framework

Author

Hughey, S. ; Baczewski, A.D. ; Shanker, Balasubramaniam

Author_Institution

Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA

fYear

2014

fDate

3-8 Aug. 2014

Firstpage

511

Lastpage

512

Abstract

The theory and applications of local transparent boundary conditions (TBCs) is a topic of current interest. The Hardy space infinite element (HSIE) method for the scalar Helmholtz equation presented in the work of Hohage and Nannen (2009) is one such method, and has been applied to the curl-curl form of the Maxwell equations within a conforming finite element method. In this paper we describe a reformulation of the HSIE method int he work of Nannen et. al (2013) in the context of an interior penalty DG method and demonstrate the convergence of the method through a simple example using finite elements.

Keywords

Galerkin method; convergence of numerical methods; electromagnetic wave propagation; Hardy space infinite elements; Helmholtz equation; discontinuous Galerkin framework; interior penalty DG method; local transparent boundary condition; Computers; Convergence; Educational institutions; Electronic mail; Maxwell equations; Method of moments; Tuning;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetics in Advanced Applications (ICEAA), 2014 International Conference on

Conference_Location

Palm Beach

Print_ISBN

978-1-4799-7325-5

Type

conf

DOI

10.1109/ICEAA.2014.6903909

Filename

6903909