Computation of singular electromagnetic fields using a hybrid DG-FEM method

Author

Ivanyshyn, Olha ; Gjonaj, E. ; Weiland, Thomas

Author_Institution

TEMF, Tech. Univ. Darmstadt, Darmstadt, Germany

fYear

2013

fDate

20-24 May 2013

Firstpage

745

Lastpage

748

Abstract

We propose a numerical method for computation of singular electromagnetic fields in a polyhedral non-convex cavity. The method is based on edge conforming elements augmented by special singular functions. The continuity of the total solution is enforced weakly via numerical fluxes. The method can be easily implemented within existing conforming finite element codes. As an application for the method we consider the computation of the smallest non-zero Maxwell eigenfrequency in a simple resonator cavity.

Keywords

Galerkin method; Maxwell equations; computational electromagnetics; eigenvalues and eigenfunctions; electromagnetic fields; finite element analysis; conforming finite element codes; edge conforming elements; hybrid DG-FEM method; nonzero Maxwell eigenfrequency; numerical method; polyhedral nonconvex cavity; resonator cavity; singular electromagnetic field computation; singular functions; Approximation methods; Convergence; Eigenvalues and eigenfunctions; Electromagnetics; Finite element analysis; Magnetic domains; Method of moments;

fLanguage

English

Publisher

ieee

Conference_Titel

Electromagnetic Theory (EMTS), Proceedings of 2013 URSI International Symposium on

Conference_Location

Hiroshima

Print_ISBN

978-1-4673-4939-0

Type

conf

Filename

6565846