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
相关论文
共 50 条
  • [31] Unconditionally stable finite-difference time-domain methods and their applications
    Chen, ZZ
    [J]. 2004 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL ELECTROMAGNETICS AND ITS APPLICATIONS, PROCEEDINGS, 2004, : PS13 - PS16
  • [32] An unconditionally stable extended (USE) finite-element time-domain solution of active nonlinear microwave circuits using perfectly matched layers
    Tsai, HP
    Wang, YX
    Itoh, T
    [J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2002, 50 (10) : 2226 - 2232
  • [33] An Unconditionally Stable Finite-Element Time-Domain Layered Domain-Decomposition Algorithm for Simulating 3D High-Speed Circuits
    Li, Xiaolei
    Jin, Jian-Ming
    [J]. 2012 IEEE 21ST CONFERENCE ON ELECTRICAL PERFORMANCE OF ELECTRONIC PACKAGING AND SYSTEMS, 2012, : 159 - 162
  • [34] Stabilized Mixed Finite-Element Time-Domain Method for Fast Transient Analysis of Multiscale Electromagnetic Problems
    Sekine, Tadatoshi
    Oikawa, Yohei
    Asai, Hideki
    [J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2018, 66 (10) : 4346 - 4356
  • [35] An Efficient Algorithm for Implementing the Crank-Nicolson Scheme in the Mixed Finite-Element Time-Domain Method
    Chen, Ru-Shan
    Du, Lei
    Ye, Zhenbao
    Yang, Yang
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (10) : 3216 - 3222
  • [36] A Convolution-Free Mixed Finite-Element Time-Domain Method for General Nonlinear Dispersive Media
    Abraham, David S.
    Giannacopoulos, Dennis D.
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2019, 67 (01) : 324 - 334
  • [37] An Explicit and Unconditionally Stable Time-Domain Finite-Element Method of Linear Complexity for Electromagnetics-Based Simulation of 3-D Global Interconnect Network
    He, Qing
    Chen, Duo
    Jiao, Dan
    [J]. 2011 IEEE 20TH CONFERENCE ON ELECTRICAL PERFORMANCE OF ELECTRONIC PACKAGING AND SYSTEMS (EPEPS), 2011, : 185 - 188
  • [38] Mixed-mode simulation of the MMIC using unconditionally stable pseudospectral time-domain method
    Zheng, Hong-Xing
    Wang, Li-Qiang
    Feng, Li-Ying
    Gao, Feng-You
    [J]. 2007 5TH INTERNATIONAL CONFERENCE ON MICROWAVE AND MILLIMETER WAVE TECHNOLOGY PROCEEDINGS, 2007, : 382 - +
  • [39] Time-domain finite-element modeling of dispersive media
    Jiao, D
    Jin, JM
    [J]. IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2001, 11 (05) : 220 - 222
  • [40] TIME-DOMAIN FINITE-ELEMENT SIMULATION OF CONDUCTIVE REGIONS
    CELOZZI, S
    FELIZIANI, M
    [J]. IEEE TRANSACTIONS ON MAGNETICS, 1993, 29 (02) : 1705 - 1710
12345