A Neumann boundary value problem of plane elasticity problem in the exterior circular domain is reduced into an equivalent natural boundary integral equation and a Poisson integral formula with the DtN method. Using the trigonometric wavelets and Galerkin method, we obtain a fast numerical method fo...

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...

In this paper, we apply interpolatory Hermite-type trigonometric wavelet to investigate the numerical solution of the natural boundary integral equation of plane elasticity problem by Galerkin method. In our fast algorithm, the computational formulae of entries of the stiffness matrix yield simple c...

The multiscale Galerkin formulation of two-dimensional elasticity problems is presented. For easy interpolation and boundary handlings as well as efficient adaptive analysis, two-dimensional interpolation wavelets are used as the multiscale trial functions in the Galerkin formulation. After the vali...

The multiscale Galerkin formulation of two-dimensional elasticity problems is presented. For easy interpolation and boundary handlings as well as efficient adaptive analysis, two-dimensional interpolation wavelets are used as the multiscale trial functions in the Galerkin formulation. After the vali...

In this paper, we apply interpolatory Hermite-type trigonometric wavelet to investigate the numerical solution of the natural boundary integral equation of plane elasticity problem by Galerkin method. In our fast algorithm, the computational formulae of entries of the stiffness matrix yield simple c...