Applications of wavelet Galerkin FEM to bending of plate structure

A kind of calculating method for high order differentials expanded by the wavelet scaling functions and the integral of their product used in Galerkin FEM is proposed, so that we can use the wavelet Galerkin FEM to solve boundary-value differential equations with orders higher than two. To combine this method with the Generalized Gaussian integral method in wavelet theory, we can find that this method has many merits in solving mechanical problems, such as the bending of plates and those with variable thickness. The numerical results show that this method is accurate. This project is supported by the National Natural Science Foundation of China (No. 19772014) and the National Outstanding Young Scientist Foundation of China (No. 19725207).