Singular basis functions and curvilinear triangles in the solution of the electric field integral equation

被引：37
|
作者：
Brown, WJ [1 ]
Wilton, DR [1 ]
机构：
[1] Univ Houston, Dept Elect & Comp Engn, Houston, TX 77204 USA
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 1999年 / 47卷 / 02期
关键词：
basis functions; boundary integral equations; curvilinear geometry;
D O I：
10.1109/8.761075
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：
Basis functions are formulated that account for singularities in the charge density near an edge on a conducting body. The formulation is general and the basis functions are valid for planar as well curvilinear geometries. In principle, singularities of any order can be treated, but best results are obtained for so-called "knife edge" singularities. Results are compared with exact solutions or measurements where available for some simple problems.
引用
收藏
页码：347 / 353
页数：7
相关论文
共 50 条
  • [1] The reduced basis method for the electric field integral equation
    Fares, M.
    Hesthaven, J. S.
    Maday, Y.
    Stamm, B.
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 230 (14) : 5532 - 5555
  • [2] On the solution of a singular integral equation
    Polosin, AA
    [J]. DIFFERENTIAL EQUATIONS, 2003, 39 (05) : 750 - 755
  • [3] On the Solution of a Singular Integral Equation
    A. A. Polosin
    [J]. Differential Equations, 2003, 39 : 750 - 755
  • [4] Fast integral equation solution for electric field shielding
    Cranganu-Cretu, B
    Ostrowski, J
    Andjelic, Z
    [J]. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 2005, 24 (02) : 639 - 647
  • [5] SOLUTION OF AN INTEGRAL-EQUATION FOR THE CURVILINEAR CONDUCTOR
    YATSKEVICH, VA
    FEDOSENKO, LL
    SAMUSENKO, AI
    [J]. IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 1982, 25 (08): : 24 - 28
  • [6] Investigations on the Solution of the Magnetic Field Integral Equation with Rao-Wilton-Glisson Basis Functions
    Kornprobst, J.
    Eibert, T. F.
    [J]. PROCEEDINGS OF THE 2019 INTERNATIONAL CONFERENCE ON ELECTROMAGNETICS IN ADVANCED APPLICATIONS (ICEAA), 2019, : 990 - 990
  • [7] CERTIFIED REDUCED BASIS METHOD FOR THE ELECTRIC FIELD INTEGRAL EQUATION
    Hesthaven, J. S.
    Stamm, B.
    Zhang, S.
    [J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2012, 34 (03): : A1777 - A1799
  • [8] Stable Discretization of the Electric-Magnetic Field Integral Equation With the Taylor-Orthogonal Basis Functions
    Ubeda, Eduard
    Tamayo, J. M.
    Rius, J. M.
    Heldring, A.
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2013, 61 (03) : 1484 - 1490
  • [9] Application of Loop-Flower Basis Functions in the Time-Domain Electric Field Integral Equation
    Tian, Xuezhe
    Xiao, Gaobiao
    Fang, Jinpeng
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2015, 63 (03) : 1180 - 1183
  • [10] Preconditioned Electric Field Integral Equation Using Calderon Identities and Dual Loop/Star Basis Functions
    Stephanson, Matthew B.
    Lee, Jin-Fa
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (04) : 1274 - 1279
12345