An Acceleration of the Boundary Integral Equation Method for Three-dimensional Elastostatics by a Special-purpose Computer

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  • TAKAHASHI Toru
    Computational Astrophysics Laboratory, The Institute of Physical and Chemical Research (RIKEN)
  • EBISUZAKI Toshikazu
    Computational Astrophysics Laboratory, The Institute of Physical and Chemical Research (RIKEN)

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  • 専用計算機による３次元静弾性問題に対する境界積分方程式法の高速化
  • センヨウ ケイサンキ ニ ヨル 3ジゲン セイ ダンセイ モンダイ ニ タイスル キョウカイ セキブン ホウテイ シキホウ ノ コウソクカ

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Abstract

In past few years, we have resorted to the methodology of special-purpose computer in order to accelerate the Boundary Integral Equation Method (BIEM). Here we applied a special-purpose computer MDGRAPE-2 to the acceleration of the BIEM for three-dimensional elastostatics. The formulation was developed so that MDGRAPE-2 can evaluate the layer-potentials of the BIEM. The implemented BIEM code using MDGRAPE-2 and the iterative solver GMRES was nearly 70 or more times faster than the naive BIEM code in solving a boundary value problem with 3.9 million unknowns.

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