Stable multiscale bases and local error estimation for elliptic problems
Applied Numerical Mathematics - Special issue on multilevel methods
A study of the construction and application of a Daubechies wavelet-based beam element
Finite Elements in Analysis and Design
The construction of wavelet finite element and its application
Finite Elements in Analysis and Design
A multivariable wavelet-based finite element method and its application to thick plates
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
Adaptive multiresolution finite element method based on second generation wavelets
Finite Elements in Analysis and Design
A modified wavelet approximation of deflections for solving PDEs of beams and square thin plates
Finite Elements in Analysis and Design
Daubechies wavelet beam and plate finite elements
Finite Elements in Analysis and Design
Hi-index | 0.00 |
Based on B-spline wavelet on the interval (BSWI) and the generalized variational principle, multivariable wavelet finite elements were proposed in this paper. Firstly, formulations were derived from multivariable generalized potential energy functional. Then the matrix equations of different structures were obtained by using BSWI as trial function. The elements presented can improve the accuracy of moment and bending strain efficiently, because displacement, moment and bending strain are all interpolated separately in multivariable generalized potential energy functional. However, the moment and bending strain are calculated by the differentiation of displacement in traditional method, which leads to calculation error because of the differentiation. Furthermore, the good approximation property of BSWI further guarantees the precision by using BSWI as trial function. In the end, several examples of thin plate and thin plate on elastic foundation are given, and they show that the efficiency of the element proposed is exemplified.