Anisotropic Mesh Superconvergence Analysis Of Evolution Equations,

In this paper, the approximations of linear triangular finite element for some integral-differential equation on anisotropic meshes are studied with certain restriction. The superclose property and superconvergence results for parabolic type, integral boundary condition type and hyperbolic type are obtained based on some integral identities and boundary estimating techniques. At the same time, the above results are presented for the second order hyperbolic equations, parabolic equations, sobolev equations and viscosity equations. The study of this paper is helpful to design numerical methods of solving integral-differential equations.