土木学会論文集A2(応用力学)
Online ISSN : 2185-4661
ISSN-L : 2185-4661
応用力学論文集Vol.15(特集)
2次元定常スカラー波動問題におけるwavelet境界要素法と有限要素法との結合解法
紅露 一寛阿部 和久
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2012 年 68 巻 2 号 p. I_237-I_248

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A coupling method of FEM and wavelet BEM is developed for 2-D steady-state scalar wave equation. The wavelet BEM is formulated using the non-orthogonal spline wavelets. These wavelets have the vanishing moment property independent of the order of piesewise polynomials. The coefficient submatrices of the reduced equations on the wavelet-based BEM are also compressed with the truncation of small matrix entries. The linear algebraic equations with a sparse coefficient matrix are solved using iterative solver, e.g. Bi-CGStab, GPBi-CG and GMRES. In particular, the use of GMRES shows rapid and robust convergence in the present numerical experiments.
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© 2012 公益社団法人 土木学会
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