Title :
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
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2009.2028633
