High spatial order finite element method to solve Maxwell´s equations in time domain

Author

Pernet, Sebastien ; Ferrieres, Xavier ; Cohen, Gary

Author_Institution

ONERA, France

Volume

53

Issue

9

fYear

2005

Firstpage

2889

Lastpage

2899

Abstract

This paper presents a finite element method with high spatial order for solving the Maxwell equations in the time domain. In the first part, we provide the mathematical background of the method. Then, we discuss the advantages of the new scheme compared to a classical finite-difference time-domain (FDTD) method. Several examples show the advantages of using the new method for different kinds of problems. Comparisons in terms of accuracy and CPU time between this method, the FDTD and the finite-volume time-domain methods are given as well.

Keywords

Maxwell equations; computational electromagnetics; electromagnetic wave propagation; finite difference time-domain analysis; finite element analysis; finite volume methods; higher order statistics; FDTD; Maxwell equations; finite differential method; finite element method; finite-volume time-domain method; high spatial order method; Dispersion; Electromagnetic fields; Finite difference methods; Finite element methods; Finite volume methods; Maxwell equations; Moment methods; Shape; Time domain analysis; Two dimensional displays; Finite difference method; Maxwell equations; finite element method (FEM); finite volume method; high spatial order method;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2005.856046

Filename

1504946