Two scale composite finite element method for parabolic problems in convex and nonconvex polygonal domains

Abstract

The main objective of this thesis is to study a priori error analysis of the two scale com posite finite element CFE method for parabolic initial boundary value problems IBVPs in two dimensional convex and nonconvex polygonal domains When the physical domain is non convex or very complicated the standard finite element method FEM requires to generate finite element mesh that resolves the domain boundary As a result the degrees of freedom of such finite element space are distributed i...