Integral Equations for Acoustic Scattering by Partially Impenetrable Composite Objects

被引:0
|
作者
X. Claeys
R. Hiptmair
机构
[1] UPMC University of Paris 6 and CNRS UMR 7598,Laboratoire Jacques
[2] EPC Alpines,Louis Lions
[3] ETH Zürich,INRIA
来源
关键词
Integral equation; scattering; wave propagation; Helmholtz; junction point; Primary 45A05; Secondary 65R20;
D O I
暂无
中图分类号
学科分类号
摘要
We study direct first-kind boundary integral equations arising from transmission problems for the Helmholtz equation with piecewise constant coefficients and Dirichlet boundary conditions imposed on a closed surface. We identify necessary and sufficient conditions for the occurrence of so-called spurious resonances, that is, the failure of the boundary integral equations to possess unique solutions.
引用
收藏
页码:151 / 189
页数:38
相关论文
共 50 条
  • [1] Integral Equations for Acoustic Scattering by Partially Impenetrable Composite Objects
    Claeys, X.
    Hiptmair, R.
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2015, 81 (02) : 151 - 189
  • [2] Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects
    Claeys, Xavier
    Hiptmair, Ralf
    Spindler, Elke
    [J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 23 (01) : 264 - 295
  • [3] Second-kind boundary integral equations for electromagnetic scattering at composite objects
    Claeys, Xavier
    Hiptmair, Ralf
    Spindler, Elke
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (11) : 2650 - 2670
  • [4] Acoustic scattering by an impenetrable spheroid
    Roumeliotis, J. A.
    Kotsis, A. D.
    Kolezas, G.
    [J]. ACOUSTICAL PHYSICS, 2007, 53 (04) : 436 - 447
  • [5] Acoustic scattering by an impenetrable spheroid
    Roumeliotis, JA
    Kotsis, AD
    Kolezas, G
    [J]. ADVANCES IN SCATTERING AND BIOMEDICAL ENGINEERING, PROCEEDINGS, 2004, : 121 - 128
  • [6] Acoustic scattering by an impenetrable spheroid
    J. A. Roumeliotis
    A. D. Kotsis
    G. Kolezas
    [J]. Acoustical Physics, 2007, 53 : 436 - 447
  • [7] Transient Analysis for Electromagnetic Scattering by Composite Objects Based on Combined Field Integral Equations
    Chen, Wen Jie
    Wang, Peng Cheng
    Tong, Mei Song
    [J]. 2016 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM, 2016, : 227 - 228
  • [8] On the spurious resonance modes of time domain integral equations for analyzing acoustic scattering from penetrable objects
    Chen, Rui
    Shi, Yifei
    Sayed, Sadeed Bin
    Lu, Mingyu
    Bagci, Hakan
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2022, 151 (02): : 1064 - 1076
  • [9] COMPLEX RESONANCE FREQUENCIES IN ACOUSTIC-WAVE SCATTERING FROM IMPENETRABLE SPHERES AND ELONGATED OBJECTS
    BAO, XL
    SCHUMACHER, CR
    UBERALL, H
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1991, 90 (04): : 2118 - 2123
  • [10] Multisector parabolic-equation approach to compute acoustic scattering by noncanonically shaped impenetrable objects
    Ramamurti, Adith
    Calvo, David C.
    [J]. PHYSICAL REVIEW E, 2019, 100 (06)