Integral Equation Discontinuous Galerkin Methods for Time Harmonic Electromagnetic Wave Problems

被引：0
|
作者：
Peng, Zhen [1 ]
Mackie-Mason, Brian [1 ]
机构：
[1] Univ New Mexico, Dept Elect & Comp Engn, Albuquerque, NM 87131 USA
来源：
2015 31st International Review of Progress in Applied Computational Electromagnetics (ACES) Vol 31 | 2015年
关键词：
Boundary element method; discontinuous Galerkin method; integral equation method; Maxwell's Equations;
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：
This work investigates an adaptive discontinuous Galerkin boundary element method for the integral equation based solution of time harmonic Maxwell's Equations. It permits the use of non-conformal surface discretizations, allow mixing different types of elements, and dramatically facilitate the mesh generation for high-definition objects. The choice of interior penalty stabilization parameter, quasi-optimal convergence in the formulation and condition number of the matrices are investigated in this work, and validated by numerical experiments.
引用
收藏
页数：2
相关论文
共 50 条
  • [41] A hybrid discontinuous in space and time Galerkin method for wave propagation problems
    Wang, Dalei
    Tezaur, Radek
    Farhat, Charbel
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2014, 99 (04) : 263 - 289
  • [42] Hermite-Discontinuous Galerkin Overset Grid Methods for the Scalar Wave Equation
    Oleksii Beznosov
    Daniel Appelö
    Communications on Applied Mathematics and Computation, 2021, 3 : 391 - 418
  • [43] Hermite-Discontinuous Galerkin Overset Grid Methods for the Scalar Wave Equation
    Beznosov, Oleksii
    Appelo, Daniel
    COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2021, 3 (03) : 391 - 418
  • [44] A mixed discontinuous Galerkin method for the wave equation
    He, Limin
    Wang, Fei
    Wen, Jing
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 82 : 60 - 73
  • [45] Solution of the time-harmonic, Maxwell equations using discontinuous Galerkin methods
    Dolean, V.
    Fol, H.
    Lanteri, S.
    Perrussel, R.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 218 (02) : 435 - 445
  • [46] hp-DISCONTINUOUS GALERKIN METHODS FOR THE HELMHOLTZ EQUATION WITH LARGE WAVE NUMBER
    Feng, Xiaobing
    Wu, Haijun
    MATHEMATICS OF COMPUTATION, 2011, 80 (276) : 1997 - 2024
  • [47] Comparison of implicit and explicit hybridizable discontinuous Galerkin methods for the acoustic wave equation
    Kronbichler, M.
    Schoeder, S.
    Mueller, C.
    Wall, W. A.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2016, 106 (09) : 712 - 739
  • [48] Hybridizable discontinuous Galerkin methods for the time-harmonic Maxwell's equations
    Nguyen, N. C.
    Peraire, J.
    Cockburn, B.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (19) : 7151 - 7175
  • [49] A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain
    Petersen, Steffen
    Farhat, Charbel
    Tezaur, Radek
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2009, 78 (03) : 275 - 295
  • [50] Time-stepping discontinuous Galerkin methods for fractional diffusion problems
    Mustapha, Kassem
    NUMERISCHE MATHEMATIK, 2015, 130 (03) : 497 - 516
12345