Local Timestepping Techniques Using Taylor Expansion for Modeling Electromagnetic Wave Propagation With Discontinuous Galerkin-FEM

Author

Schomann, S. ; Gödel, N. ; Warburton, T. ; Clemens, M.

Author_Institution

Dept. of Theor. of Electr. Eng. & Comput. Electromagn., Univ. of the Fed. Armed Forces Hamburg, Hamburg, Germany

Volume

46

Issue

8

fYear

2010

Firstpage

3504

Lastpage

3507

Abstract

A time integration scheme based on Taylor expansion using the higher order discontinuous Galerkin finite element method (DG-FEM) is presented. The special properties of the scheme allow for using explicit time integration. Local timestepping techniques are proposed, which are efficient whenever large ratios in element size affect the performance of global explicit time integration schemes. The algorithm is introduced, its characteristics are analyzed, and benchmarks are presented.

Keywords

Galerkin method; electromagnetic wave propagation; finite element analysis; integral equations; Taylor expansion; discontinuous Galerkin-FEM; electromagnetic wave propagation; finite element method; local timestepping; time integration scheme; Computational electromagnetics; Electromagnetic modeling; Electromagnetic propagation; Finite element methods; Mathematics; Maxwell equations; Military computing; Moment methods; Stability; Taylor series; Discontinuous Galerkin; finite element method (FEM); high order; local timestepping; time domain;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2043656

Filename

5512864