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The construction of finite element multiwavelets for adaptive structural analysis
Author(s) -
Wang Youming,
Chen Xuefeng,
He Yumin,
He Zhengjia
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1320
Subject(s) - finite element method , structural engineering , computer science , engineering
A design method of finite element multiwavelets is proposed for adaptive analysis of structural problems. A multiresolution analysis for Lagrange and Hermite finite element space is discussed. New classes of finite element multiwavelets are constructed by the lifting scheme according to the operators of structural problems. Compared with classical wavelet methods, the finite element multiwavelet method is more flexible and robust for multiscale structural analysis. Based on the operator‐orthogonality of the finite element multiwavelets, we propose a new adaptive scheme for the finite element multiwavelet method by adding new multiwavelets into the domain where the error estimator is larger than a given threshold value. Numerical examples demonstrate that the finite element multiwavelets are flexible and are efficient bases in solving structural problems. Copyright © 2009 John Wiley & Sons, Ltd.