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Keller, J.B. and Givoli, D. (1989) Exact Non-Reflecting Boundary Conditions. Journal of Computational Physics, 82, 172-192.
https://doi.org/10.1016/0021-9991(89)90041-7

has been cited by the following article:

• TITLE: Study of Axisymmetric Infinite Guide Lined with Locally Reacting Material without Flow Using DtN Operators

  AUTHORS: Boureima Ouedraogo, Emmanuel Redon

  KEYWORDS: DtN Operator, Axisymmetric Cylindrical Guides, Finite Element Method, Modes

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.14 No.2, February 29, 2024

  ABSTRACT: The present work proposed a new method for the modeling by the finite element method of the acoustic propagation problems in infinite axisymmetric cylindrical guides lined with locally reacting absorbent materials without flow. The method deals with the development of an efficient transparent boundary condition based on DtN operators. The method developed in this study is successfully applied to a straight axisymmetric lined guide by imposing a mode on one of the artificial boundaries of the truncated guide. The results are in good agreement with analytical solutions. Applying the method for a non-uniform axisymmetric lined guide which is a complex case, proved its effectiveness and the results compared to those of PML layers are in very good agreement.