High Spatial Order Finite Element Method to Solve Maxwell's Equations in Time Domain

Sébastien Pernet, Xavier Ferrieres and Gary Cohen

2005

Publication type:

Paper in peer-reviewed journals

Journal:

IEEE Trans on Antennas and Propagation, vol. 53 (9), pp. 2889 - 2899

DOI:

10.1109/TAP.2005.856046

HAL:

hal-00982984

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.

BibTeX:

@article{Per-Fer-Coh-2005,
    author={Sébastien Pernet and Xavier Ferrieres and Gary Cohen },
    title={High Spatial Order Finite Element Method to Solve Maxwell's 
           Equations in Time Domain },
    doi={10.1109/TAP.2005.856046 },
    journal={IEEE Trans on Antennas and Propagation },
    year={2005 },
    volume={53 (9) },
    pages={2889--2899},
}