A Burton–Miller-type boundary element method based on a hybrid integral representation and its application to cavity scattering

Riku Toshimitsu, Hiroshi Isakari

研究成果: Article査読

抄録

This study builds on a recent paper by Lai et al. (2018) in which a novel boundary integral formulation is presented for scalar wave scattering analysis in two-dimensional layered and half-spaces. The seminal paper proposes a hybrid integral representation that combines the Sommerfeld integral and layer potential to efficiently deal with the boundaries of infinite length. In this work, we modify the integral formulation to eliminate the fictitious eigenvalues by employing the integral equation of the Burton–Miller type. We also discuss reasonable parameter settings for the hybrid integral equation to ensure efficient and accurate numerical solutions. Furthermore, we extend the modified formulation for the scattering from a cavity in a half-space whose boundary is locally perturbed. To address the cavity scattering, we introduce a virtual boundary enclosing the cavity and couple the integral equation on it with the hybrid equation. The effectiveness of the proposed method is demonstrated through numerical examples.

本文言語English
ページ(範囲)303-312
ページ数10
ジャーナルEngineering Analysis with Boundary Elements
158
DOI
出版ステータスPublished - 2024 1月

ASJC Scopus subject areas

  • 分析
  • 工学(全般)
  • 計算数学
  • 応用数学

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