A posteriori error analysis of finite element methods for parabolic integro differential equations

Abstract

The aim of the thesis is to study a posteriori error analysis of finite element method for linear parabolic integro differential equations PIDEs in a convex polygonal or polyhedral domain PIDEs and their variants arise in various applications such as heat conduction in material with memory the compression of poro viscoelasticity media nuclear reactor dynamics and the epidemic phenomena in biology Since PIDE may be thought of as a perturbation of the purely parabolic problem it is therefo