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Title :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
Title alternative :A coupling method of wavelet BEM and FEM for 2-D steady-state scalar wave equation
Authors :紅露, 一寛
阿部, 和久
Publisher :土木学会
Issue Date :Aug-2012
Journal Title :土木学会論文集A2(応用力学)
Volume :68
Issue :2
Start Page :237
End Page :248
Abstract :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.
Keywords :wavelet BEM
FE-BE coupling method
2-D steady-state scalar wave equation
matrix compression
Type Local :学術雑誌論文
Language :jpn
Format :application/pdf
URI :http://hdl.handle.net/10191/31806
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/31806/1/68_I_237.pdf
Relation :https://www.jstage.jst.go.jp/article/jscejam/68/2/68_I_237/_pdf
Rights :公益社団法人土木学会
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/10191/31806