Finite element methods for elliptic and parabolic interface problems

Abstract

The main objective of this thesis is to study the convergence of finite element solutions to the exact solutions of elliptic and parabolic interface problems by means of classical finite element method Due to low global regularity of the true solution it is difficult to apply the classical finite element analysis to obtain optimal order of convergence for interface problems cf 3 14 The emphasis is on the theoretical aspects of such methods In order to maintain the best possible converge