Multi-scale Daubechies wavelet-based method for 2-D elastic problems

In this paper, the multi-scale Daubechies (DB) wavelet method is used for solution of 2-D plain elastic problems. Unlike the single scale wavelet method, the DB wavelet functions are also used in function approximation for solving problems with local complicated deformation in the multi-scale method. Using the ideas of some meshless methods and Galerkin methods, the solution formulations for two dimensional elastic problems in multi-scale approach are established. In order to treat general boundaries and improve the efficiency and accuracy of solution, a method for evaluation of integrals in general region is proposed. Numerical examples of 2-D elastic problems illustrate that this multi-scale Daubechies wavelet method is effective and stable.