Transparent Boundary Conditions for the Wave Equation in a Channel of Circular Section

Transparent Boundary Conditions for the Wave Equation in a Channel of Circular Section

A method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with boundary conditions of the third kind. The method can be applied in the case of a variable speed of sound. The dependence of the accuracy of...

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Published in:Lobachevskii journal of mathematics Vol. 42; no. 11; pp. 2678 - 2686
Main Author: Zaitsev, N. A.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-11-2021
Springer Nature B.V
Subjects:
Algebra
Analysis
Approximation
Boundary conditions
Geometry
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Wave equations
transparent boundary conditions
Padé approximation
wave equation
solution in circular channel
waveguide
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Abstract A method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with boundary conditions of the third kind. The method can be applied in the case of a variable speed of sound. The dependence of the accuracy of approximating the convolution kernel of the TBC on the approximation accuracy of its image is investigated. An example of the set of coefficients of the TBC operator is given.
AbstractList A method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with boundary conditions of the third kind. The method can be applied in the case of a variable speed of sound. The dependence of the accuracy of approximating the convolution kernel of the TBC on the approximation accuracy of its image is investigated. An example of the set of coefficients of the TBC operator is given.
Author Zaitsev, N. A.
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Cites_doi 10.4310/CMS.2003.v1.n3.a7
10.1017/S0962492900002890
10.1016/S0168-9274(98)00025-7
10.1016/0021-9991(91)90135-8
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Issue 11
Keywords transparent boundary conditions
Padé approximation
wave equation
solution in circular channel
waveguide
Language English
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References Sofronov (CR5) 1993
Sofronov (CR4) 1993; 46
Diakonov (CR8) 2011
Hagstrom (CR2) 1999; 8
Sofronov, Dovgilovich, Krasnov (CR6) 2014; 6
Tsynkov (CR3) 1998; 27
Givoli (CR1) 1991; 94
CR7
Arnold, Ehrhardt, Sofronov (CR9) 2003; 1
D. Givoli (6558_CR1) 1991; 94
6558_CR7
V. P. Diakonov (6558_CR8) 2011
I. L. Sofronov (6558_CR5) 1993
A. Arnold (6558_CR9) 2003; 1
I. L. Sofronov (6558_CR4) 1993; 46
I. L. Sofronov (6558_CR6) 2014; 6
S. V. Tsynkov (6558_CR3) 1998; 27
T. Hagstrom (6558_CR2) 1999; 8
References_xml – volume: 6
  start-page: 45
  year: 2014
  end-page: 56
  ident: CR6
  article-title: On high-order approximation of transparent boundary conditions for the wave equation
  publication-title: Komp’yut. Issled. Model.
  contributor:
    fullname: Krasnov
– volume: 1
  start-page: 501
  year: 2003
  end-page: 556
  ident: CR9
  article-title: Discrete transparent boundary conditions for the Schrödinger equation: Fast calculation, approximation, and stability
  publication-title: Commun. Math. Sci.
  doi: 10.4310/CMS.2003.v1.n3.a7
  contributor:
    fullname: Sofronov
– volume: 46
  start-page: 397
  year: 1993
  end-page: 401
  ident: CR4
  article-title: Conditions for complete transparency on a sphere for a three-dimensional wave equation
  publication-title: Dokl. Math.
  contributor:
    fullname: Sofronov
– year: 1993
  ident: CR5
  publication-title: “Conditions for complete transparency for a wave equation,” KIAM Preprint No. 76
  contributor:
    fullname: Sofronov
– ident: CR7
– volume: 8
  start-page: 47
  year: 1999
  end-page: 106
  ident: CR2
  article-title: Radiation boundary conditions for the numerical simulation of waves
  publication-title: Acta Numer.
  doi: 10.1017/S0962492900002890
  contributor:
    fullname: Hagstrom
– volume: 27
  start-page: 465
  year: 1998
  end-page: 532
  ident: CR3
  article-title: Numerical solution of problems on unbounded domains. A review
  publication-title: Appl. Numer. Math.
  doi: 10.1016/S0168-9274(98)00025-7
  contributor:
    fullname: Tsynkov
– year: 2011
  ident: CR8
  contributor:
    fullname: Diakonov
– volume: 94
  start-page: 1
  year: 1991
  end-page: 29
  ident: CR1
  article-title: Nonreflecting boundary conditions
  publication-title: J. Comput. Phys.
  doi: 10.1016/0021-9991(91)90135-8
  contributor:
    fullname: Givoli
– volume: 27
  start-page: 465
  year: 1998
  ident: 6558_CR3
  publication-title: Appl. Numer. Math.
  doi: 10.1016/S0168-9274(98)00025-7
  contributor:
    fullname: S. V. Tsynkov
– volume: 94
  start-page: 1
  year: 1991
  ident: 6558_CR1
  publication-title: J. Comput. Phys.
  doi: 10.1016/0021-9991(91)90135-8
  contributor:
    fullname: D. Givoli
– volume: 6
  start-page: 45
  year: 2014
  ident: 6558_CR6
  publication-title: Komp’yut. Issled. Model.
  contributor:
    fullname: I. L. Sofronov
– ident: 6558_CR7
– volume: 1
  start-page: 501
  year: 2003
  ident: 6558_CR9
  publication-title: Commun. Math. Sci.
  doi: 10.4310/CMS.2003.v1.n3.a7
  contributor:
    fullname: A. Arnold
– volume: 46
  start-page: 397
  year: 1993
  ident: 6558_CR4
  publication-title: Dokl. Math.
  contributor:
    fullname: I. L. Sofronov
– volume-title: “Conditions for complete transparency for a wave equation,” KIAM Preprint No. 76
  year: 1993
  ident: 6558_CR5
  contributor:
    fullname: I. L. Sofronov
– volume: 8
  start-page: 47
  year: 1999
  ident: 6558_CR2
  publication-title: Acta Numer.
  doi: 10.1017/S0962492900002890
  contributor:
    fullname: T. Hagstrom
– volume-title: Maple 10/11/12/13/14 in Mathematical Calculations
  year: 2011
  ident: 6558_CR8
  contributor:
    fullname: V. P. Diakonov
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Snippet A method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with...
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StartPage 2678
SubjectTerms Algebra
Analysis
Approximation
Boundary conditions
Geometry
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Wave equations
Title Transparent Boundary Conditions for the Wave Equation in a Channel of Circular Section
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