On the convergence of h1 galerkin mixed finite element method for parabolic problems

Abstract

The purpose of the present work is to study the convergence of H1 Galerkin mixed Dnite element method for the linear parabolic partial diDerential equations The emphasis is on the theoretical aspects of such methods An attempt has been made in this thesis to study the error analysis for the semidiscrete and fully discrete schemes with lesser regularity assumptions on the initial data More precisely for homogeneous parabolic problem an energy technique is used to obtain error estimates of ord