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Title :Haar waveletを用いた2次元拡散問題時間域境界要素法における係数行列保存成分数の解析自由度依存性
Title alternative :Estimation of the Number of Non-zero Entries of Coefficient Matrix in Time-Domain Boundary Element Method with Haar Wavelets for 2-D Diffusion Problems
Authors :紅露, 一寛
阿部, 和久
Publisher :土木学会
Issue Date :Aug-2011
Journal Title :土木学会論文集A2(応用力学)
Volume :67
Issue :2
Start Page :I_95
End Page :I_106
Abstract :In the time-domain BEM with Haar wavelets for 2-D diffusion problems, the relation between the number of non-zero entries of the coefficient matrices and the degree of freedom (DOF) N is theoretically investigated using the information on the size and the arrangement of the support of the basis functions. The coefficient matrices are compressed using the Beylkin-type level-independent truncation scheme with a DOF-independent prescribed threshold value. The number of non-zero entries of the matrix G(L,p) and H(L,p) (1 ≤ p ≤ L, L: current time step), N(G(L,p)) and N(H(L,p)), increases in proportion to the factors log N, N1/2, N and N log N, except for the behavior in the smaller DOF range where N(G(L,p)) and N(H(L,p))∼O(N2). For M»1 and N»1, N(G(L,p)) and N(H(L,p)) show O(N log N) in matrix compression with a prescribed threshold value λ.
Keywords :time-domain BEM
Haar wavelet
matrix compression
diffusion equation
Type Local :学術雑誌論文
Language :jpn
Format :application/pdf
URI :http://hdl.handle.net/10191/24682
fullTextURL :http://dspace.lib.niigata-u.ac.jp/dspace/bitstream/10191/24682/1/67_2_95-106.pdf
Relation :https://www.jstage.jst.go.jp/article/jscejam/67/2/67_2_I_95/_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/10191/24682