A WELL-CONDITIONED INTEGRAL EQUATION FOR ITERATIVE SOLUTION OF SCATTERING PROBLEMS WITH A VARIABLE LEONTOVITCH BOUNDARY CONDITION

被引:7
|
作者
Pernet, Sebastien [1 ]
机构
[1] CERFACS, F-31057 Toulouse 01, France
来源
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2010年 / 44卷 / 04期
关键词
Electromagnetic scattering; boundary integral equations; impedance boundary condition; preconditioner; DOMAIN DECOMPOSITION METHOD; ELECTROMAGNETIC SCATTERING; ELEMENT; PRECONDITIONER; RADIATION;
D O I
10.1051/m2an/2010023
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The construction of a well-conditioned integral equation for iterative solution of scattering problems with a variable Leontovitch boundary condition is proposed. A suitable parametrix is obtained by using a new unknown and an approximation of the transparency condition. We prove the well-posedness of the equation for any wavenumber. Finally, some numerical comparisons with well-tried method prove the efficiency of the new formulation.
引用
收藏
页码:781 / 801
页数:21
相关论文
共 39 条
  • [1] Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems
    Boubendir, Yassine
    Turc, Catalin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (10) : 1772 - 1805
  • [2] A WELL-CONDITIONED BOUNDARY INTEGRAL EQUATION FOR TRANSMISSION PROBLEMS OF ELECTROMAGNETISM
    Levadoux, David
    Millot, Florence
    Pernet, Sebastien
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2015, 27 (03) : 431 - 454
  • [3] Well-conditioned boundary integral equations for three-dimensional electromagnetic scattering
    Contopanagos, H
    Dembart, B
    Epton, M
    Ottusch, JJ
    Rokhlin, V
    Visher, JL
    Wandzura, SM
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2002, 50 (12) : 1824 - 1830
  • [4] A stable well-conditioned integral equation for electromagnetism scattering
    Alouges, F.
    Borel, S.
    Levadoux, D. P.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 204 (02) : 440 - 451
  • [5] Well-conditioned EFIE-TDS Surface Integral Equation
    Jeong, Yi-Ru
    Yook, Jong-Gwan
    Hong, Ic-Pyo
    Lee, Kyung-Won
    Choi, Sam Yeul
    2015 INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION (ISAP), 2015,
  • [6] An Unpreconditioned Boundary-Integral for Iterative Solution of Scattering Problems with Non-Constant Leontovitch Impedance Boundary Conditions
    Levadoux, D.
    Millot, F.
    Pernet, S.
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2014, 15 (05) : 1431 - 1460
  • [7] A Simple and Efficient Implementation of the Well-Conditioned Electric-Field Integral Equation
    Sheng, Xin-Qing
    Deng, Chu-Qiang
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2009, 57 (02) : 582 - 586
  • [8] Well-conditioned boundary integral formulations for high-frequency elastic scattering problems in three dimensions
    Darbas, M.
    Le Louer, F.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (09) : 1705 - 1733
  • [9] A Well-Conditioned Integral-Equation Formulation for Efficient Transient Analysis of Electrically Small Microelectronic Devices
    Bagci, Hakan
    Andriulli, Francesco P.
    Vipiana, Francesca
    Vecchi, Giuseppe
    Michielssen, Eric
    IEEE TRANSACTIONS ON ADVANCED PACKAGING, 2010, 33 (02): : 468 - 480
  • [10] Stable integral equations for the iterative solution of electromagnetic scattering problems
    Levadoux, David P.
    COMPTES RENDUS PHYSIQUE, 2006, 7 (05) : 518 - 532