Construction of the Beam Element Based Second Generation Wavelet
Yu Min He, Xi Chen, Xiaolong Zhang · Applied Mechanics and Materials · 2011
Second generation wavelet (SGW) provides diversity and agility for constructing wavelet besides the multiresolution property. By introducing SGW into finite element method, a series sequence of finite element approximation spaces which are nested and hierarchically expanded can be constructed. The method has high calculation speed and precision and is suited for constructing adaptive algorithm. In this paper, the beam element based SEW is constructed, which set up a basis for the adaptive finite element method based on multiresolution analysis.