高速多重極境界要素法による2次元動弾性問題の解析

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  • Fast Multipole Boundary Element Method in 2D Elastodynamics
  • コウソク タジュウキョク キョウカイ ヨウソホウ ニ ヨル 2ジゲンドウ ダンセイ モンダイ ノ カイセキ

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This paper is concerned with the fast multipole boundary element method (FMBEM) in two dimensional frequency domain elastodynamics. The fast multipole method (FMM) is derived by the Galerkin vector in the elastodynamic field. The elastodynamic field is expressed as the sum of the longitudinal and transverse wave fields, and the Galerkin vector FMM is simply derived from the scalar wave FMM. Multipole expansions of the influence functions are derived to apply the FMM to the boundary element method. A numerical experiment showed that the complexity and the required memory are of O (N). As the example the multiple-hole elastic scattering problemwas solved using the FMBEM, and the results show the applicability of the method.

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