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http://dx.doi.org/10.12989/sem.2010.35.2.175

New decoupled wavelet bases for multiresolution structural analysis  

Wang, Youming (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University)
Chen, Xuefeng (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University)
He, Yumin (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University)
He, Zhengjia (State Key Lab for Manufacturing Systems Engineering, Xi'an Jiaotong University)
Publication Information
Structural Engineering and Mechanics / v.35, no.2, 2010 , pp. 175-190 More about this Journal
Abstract
One of the intractable problems in multiresolution structural analysis is the decoupling computation between scales, which can be realized by the operator-orthogonal wavelets based on the lifting scheme. The multiresolution finite element space is described and the formulation of multiresolution finite element models for structural problems is discussed. Various operator-orthogonal wavelets are constructed by the lifting scheme according to the operators of multiresolution finite element models. A dynamic multiresolution algorithm using operator-orthogonal wavelets is proposed to solve structural problems. Numerical examples demonstrate that the lifting scheme is a flexible and efficient tool to construct operator-orthogonal wavelets for multiresolution structural analysis with high convergence rate.
Keywords
multiresolution finite element; lifting scheme; operator-orthogonal wavelet;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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