A High-Precision Integration Scheme for the Spectral-Element Time-Domain Method in Electromagnetic Simulation

Author

Chen, Jiefu ; Lee, Joon-Ho ; Liu, Qing Huo

Author_Institution

Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA

Volume

57

Issue

10

fYear

2009

Firstpage

3223

Lastpage

3231

Abstract

A high-precision integration (HPI) scheme combined with the spectral-element time-domain (SETD) method is presented to solve the time-dependent Maxwell´s equations. Spatial discretization by spectral elements will lead to block diagonal mass matrices, thus greatly alleviating the computational burden of inverting the mass matrices. A high-precision time integration method based on the matrix exponential is then employed to solve the discretized SETD system. Numerical examples demonstrate that this algorithm is unconditionally stable and very accurate.

Keywords

computational electromagnetics; integration; time-domain analysis; block diagonal mass matrices; electromagnetic simulation; high-precision integration scheme; spatial discretization; spectral-element time-domain method; time-dependent Maxwell´s equations; Computational modeling; Differential equations; Electromagnetic devices; Electromagnetic fields; Finite difference methods; Finite element methods; Maxwell equations; Symmetric matrices; Time domain analysis; Transient analysis; High-precision integration (HPI) scheme; Maxwell´s equations; matrix exponential; spectral-element time-domain (SETD) method;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2009.2028633

Filename

5175436