Efficient convolution based impedance boundary conditions

被引:0
|
作者
Paganini, Alberto [1 ]
Lopez-Fernandez, Maria [2 ]
机构
[1] Swiss Fed Inst Technol, Seminar Appl Math, Zurich, Switzerland
[2] Univ Zurich, Inst Math, CH-8001 Zurich, Switzerland
关键词
Eddy current; Convolution quadrature; Fast and oblivious algorithm; Impedance boundary conditions; DISCRETIZED OPERATIONAL CALCULUS; PARABOLIC EQUATIONS; QUADRATURE; APPROXIMATION;
D O I
10.1108/COMPEL-06-2013-0196
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Purpose - The purpose of this paper is to propose an approach based on Convolution quadrature (CQ) for the modeling and the numerical treatment of impedance boundary condition. Design/methodology/approach - The model is derived from a general setting. Its discretization is discussed in details by providing pseudo-codes and by performing their complexity analysis. The model is validated through several numerical experiments. Findings - CQ provides an efficient and accurate treatment of impedance boundary conditions. Originality/value - The paper suggests a new effective treatment of impedance boundary conditions.
引用
收藏
页码:1175 / 1188
页数:14
相关论文
共 50 条
  • [1] Fast convolution quadrature based impedance boundary conditions
    Hiptmair, Ralf
    Lopez-Fernandez, Maria
    Paganini, Alberto
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 263 : 500 - 517
  • [2] Convolution quadrature for the wave equation with impedance boundary conditions
    Sauter, S. A.
    Schanz, M.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 334 : 442 - 459
  • [3] Efficient implementation of the time domain surface impedance boundary conditions for the boundary element method
    Yuferev, S
    Ida, N
    IEEE TRANSACTIONS ON MAGNETICS, 1998, 34 (05) : 2763 - 2766
  • [4] Determination of an efficient surface of scattering an angular reflector with impedance boundary conditions
    Zikratov, IA
    Korobushchenko, YV
    Skorobogatova, OA
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 2001, 44 (9-10): : A15 - A19
  • [5] Time-dependent acoustic scattering from generalized impedance boundary conditions via boundary elements and convolution quadrature
    Banjai, Lehel
    Lubich, Christian
    Nick, Joerg
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 42 (01) : 1 - 26
  • [6] Fast convolution for nonreflecting boundary conditions
    Lubich, C
    Schädle, A
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2002, 24 (01): : 161 - 182
  • [7] Impedance nonlinear boundary conditions
    Petrov, BM
    IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII RADIOELEKTRONIKA, 2003, 46 (5-6): : 18 - 25
  • [8] Impedance nonlinear boundary conditions
    Petrov, B.M.
    Izvestiya Vysshikh Uchebnykh Zavedenij. Radioelektronika, 2003, 46 (05): : 18 - 25
  • [9] A NOTE ON IMPEDANCE BOUNDARY CONDITIONS
    SENIOR, TBA
    CANADIAN JOURNAL OF PHYSICS, 1962, 40 (05) : 663 - &
  • [10] Impedance boundary conditions in ultrasonics
    Shumpert, JD
    Senior, TBA
    IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2000, 48 (10) : 1653 - 1659