Interpolation of non-smooth functions on anisotropic finite element meshes
Interpolation of non-smooth functions on anisotropic finite element meshes
In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang [30] are discussed. The modified operators are defined for non-smooth functions and are suited for application on anisotropic meshes. The anisotropy of the elements is reflected in the local stability and approximation error estimates. As an application, an example is considered where anisotropic finite element meshes are appropriate, namely the Poisson problem in domains with edges.
Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form.
Issues in adaptive mesh refinement implementation.