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タイトル: 高速多重極境界要素法による広域地震動シミレーションに関する考察
その他のタイトル: Discussion of Fast Multipole Boundary Element Method for Simulating Wide-area Seismic Ground Motions
著者: 福井, 貞雄
著者(別言語): Fukui, Takuo
キーワード: seismic ground motion
boundary element method
fast multipole method
preconditioning of iterative solver
発行日: 2000年12月22日
出版者: 東京大学地震研究所
掲載誌情報: 東京大学地震研究所彙報. 第75冊第2号, 2000.12.22, pp. 197-228
抄録: A quantitative simulation scheme to analyze wide-area seismic ground motions is discussed in the present paper. The ground is assumed to be a multi-zone elastic material as the first order approximation. The problem has a large number of freedom parameters and a large wavenumber because the area covers at least hundreds of wavelengths. The region is approximately semi-infinite. The boundary element method in the frequency domain elastodynamics is proposed to analyze this problem. To solve a large quantitative model the fast multipole method, which reduces the computing complexity of matrix-vector product to O (N) by doing all computations on a tree structure, is introduced to accelerate the boundary element method with an iterative solver. To reduce computing time of large wavenumber problems the diagonal form of the fast multipole method is combined with the conventional fast multipole method. The boundary integral equation of Burton and Muller is introduced to avoid fictitious eigen-values in exterior problems. For the iterative solver of the boundary element method, a preconditioning scheme using the Haar wavelet transformation and an algorithm on the tree structure is proposed. A block preconditioning for the boundary element equation in a multi-zone region is also proposed. The proposed method is expected to analyze problems of millions of elements with parallel computing. This method is applicable to viscoelastic ground motion analysis with complex wavenumbers.
URI: http://hdl.handle.net/2261/13193
ISSN: 00408972


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