Intuitive Formulation of Discontinuous Galerkin Surface Integral Equations for Electromagnetic Scattering Problems

被引：24
|
作者：
Xiao, Gaobiao [1 ]
Hou, Yibei [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Elect Engn, Shanghai 200240, Peoples R China
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2017年 / 65卷 / 01期
基金：
美国国家科学基金会;
关键词：
Discontinuous Galerkin (DG) method; discontinuous vector basis function (DVBF); surface integral equation (SIE); FINITE-ELEMENT METHODS; GENERALIZED-METHOD; ELLIPTIC PROBLEMS; INTERIOR PENALTY; MAXWELL OPERATOR; UNIFIED ANALYSIS; MESHES; MOMENTS; UNIFORM;
D O I：
10.1109/TAP.2016.2630501
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：
An intuitive formulation of discontinuous Galerkin surface integral equation (DG-SIE) method is proposed in this paper, which is established by performing singularity extraction and singling out the infinitely large term in the entries of the impedance matrices associated with the SIEs, which are popular in solving electromagnetic scattering problems. Nonoverlapping trial and test functions defined on triangles are employed without requirements of the surface current (normal) continuity across their internal boundary contours. The proposed SIE-DG formulation is very flexible and is validated by examples of perfect electrically conducting targets in both conformal and nonconformal meshes.
引用
收藏
页码：287 / 294
页数：8
相关论文
共 50 条
  • [1] An Intuitive Formulation of Discontinuous Galerkin Surface Integral Equations
    Xiao, Gaobiao
    Hou, Yibei
    2016 IEEE INTERNATIONAL CONFERENCE ON COMPUTATIONAL ELECTROMAGNETICS (ICCEM), 2016, : 23 - 25
  • [2] A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations
    Dong, Haixia
    Ying, Wenjun
    Zhang, Jiwei
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 344 : 624 - 639
  • [3] A Discontinuous Galerkin Augmented Electric Field Integral Equation for Multiscale Electromagnetic Scattering Problems
    Hou, Yibei
    Xiao, Gaobiao
    Tian, Xuezhe
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2017, 65 (07) : 3615 - 3622
  • [4] Massively Parallel Discontinuous Galerkin Surface Integral Equation Method for Solving Large-Scale Electromagnetic Scattering Problems
    Liu, Rui-Qing
    Huang, Xiao-Wei
    Du, Yu-Lin
    Yang, Ming-Lin
    Sheng, Xin-Qing
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2021, 69 (09) : 6122 - 6127
  • [5] A Discontinuous Galerkin Surface Integral Equation Method for Electromagnetic Wave Scattering From Nonpenetrable Targets
    Peng, Zhen
    Lim, Kheng-Hwee
    Lee, Jin-Fa
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2013, 61 (07) : 3617 - 3628
  • [6] Characteristic Mode Analysis with Discontinuous Galerkin Surface Integral Equations
    Hou, Yibei
    Xiao, Gaobiao
    2016 PROGRESS IN ELECTROMAGNETICS RESEARCH SYMPOSIUM (PIERS), 2016, : 1166 - 1166
  • [7] A Mixed Discontinuous Galerkin Formulation for Time-Harmonic Scattering Problems
    Brown, Kevin
    Geddert, Nicholas
    Jeffrey, Ian
    2016 17TH INTERNATIONAL SYMPOSIUM ON ANTENNA TECHNOLOGY AND APPLIED ELECTROMAGNETICS (ANTEM), 2016,
  • [8] A Time Domain Discontinuous Galerkin Surface Integral Equation Method for Electromagnetic Scattering Analysis of Nonpenetrable Objects
    Tian, Xuezhe
    Lee, Jin-Fa
    Xiao, Gaobiao
    2015 USNC-URSI RADIO SCIENCE MEETING (JOINT WITH AP-S SYMPOSIUM) PROCEEDINGS, 2015, : 110 - 110
  • [9] A Coupled Hybridizable Discontinuous Galerkin and Boundary Integral Method for Analyzing Electromagnetic Scattering
    Zhao, Ran
    Dong, Ming
    Chen, Liang
    Hu, Jun
    Bagci, Hakan
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2024, 72 (01) : 75 - 88
  • [10] A New Formulation Discontinuous Galerkin Surface Integral Equation Method for Time-harmonic Wave Scattering Problem
    Li, Dongwei
    Wei, Jiangong
    Lee, Jin-Fa
    2015 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING, 2015, : 195 - 196
12345