Mesh-independent p-orthotropic enrichment using the generalized finite element method

This paper is aimed at presenting a simple yet e ective procedure to implement a mesh-independent p-orthotropic enrichment in the generalized nite element method. The procedure is based on the observation that shape functions used in the GFEM can be constructed from polynomials de ned in any co-ordinate system regardless of the underlying mesh or type of element used. Numerical examples where the solution possesses boundary or internal layers are solved on coarse tetrahedral meshes with isotropic and the proposed p-orthotropic enrichment