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Title :Non-orthogonal spline wavelets for boundary element analysis
Authors :Koro, Kazuhiro
Abe, Kazuhisa
Publisher :Elsevier Science Ltd.
Issue Date :Mar-2001
Journal Title :Engineering Aalysis with Boundary Elements
Volume :25
Issue :3
Start Page :149
End Page :164
ISSN :0955-7997
Description :Non-orthogonal spline wavelets are developed for Galerkin BEM. The proposed wavelets have compact supports and closed-form expressions. Besides of it, one can choose arbitrarily the order of vanishing moments of the wavelets independently of order of B-splines. Sparse coefficient matrices are obtained by truncating the small elements a priori. The memory requirement and computational time can be controled by changing the order of vanishing moments of the wavelets. As an iterative technique for solving the boundary element equations, GMRES(m) method is employed. Diagonal scaling and incomplete LU factorization (ILU(0)) are considered for the preconditioning. The ILU(0) becomes an effective preconditioner for higher order vanishing moments. Through numerical examples, availability of the proposed wavelets is investigated.
Keywords :Wavelet-BEM
Non-orthogonal wavelet
Fast solution
2-D Laplace problem
GMRES
Type Local :学術雑誌論文
Language :eng
URI :http://hdl.handle.net/10191/4885
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/4885/1/eabe2000.pdf
Appears in Collections:10 査読済論文 = Postprint

Please use this identifier to cite or link to this item: http://hdl.handle.net/10191/4885