Unconditionally Stable Time-Domain Mixed Finite-Element Method

被引：0
|
作者：
Crawford, Zane D. [1 ,2 ]
Li, Jie [1 ]
Christlieb, Andrew [2 ]
Shanker, B. [1 ,2 ]
机构：
[1] Michigan State Univ, Dept Elect & Comp Engn, E Lansing, MI 48824 USA
[2] Michigan State Univ, Dept Computat Math Sci & Engn, E Lansing, MI 48824 USA
来源：
2017 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING | 2017年
关键词：
STABILITY;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Previous work has developed a time-domain mixed finite-element method using Whitney 1-forms and Whitney 2-forms to represent the electric field and magnetic flux density, respectively in the coupled, first order Maxwell's equations. However, the leapfrog time-stepping scheme used in most of those works is conditionally stable, and the time step size is closely tied to the spatial discretization. In this work, we present an unconditionally stable time-stepping method for the time-domain mixed finite-element method based on the second order Newmark Beta time-stepping algorithm; at the conference, we will present a more elaborate/rigorous proofs on the stability of the algorithm given choices of certain parameters.
引用
收藏
页码：1789 / 1790
页数：2
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