Construction of wavelet-based elements for static and stability analysis of elastic problems

Two kinds of wavelet-based elements have been constructed to analyze the stability of plates and shells and the static displacement of 3D elastic problems. The scaling functions of B-spline wavelet on the interval (BSWI) are employed as interpolating functions to construct plate and shell elements for stability analysis and 3D elastic elements for static mechanics analysis. The main advantages of BSWI scaling functions are the accuracy of B-spline functions approximation and various wavelet-based elements for structural analysis. The performances of the present elements are demonstrated by typical numerical examples.