Title :
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
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;
Conference_Titel :
Electromagnetic Theory (EMTS), Proceedings of 2013 URSI International Symposium on
Conference_Location :
Hiroshima
Print_ISBN :
978-1-4673-4939-0
