A priori error analysis for the finite element approximations to various interface problems arising in biological media

Abstract

The main objective of this thesis is to study a priori error analysis of finite element Galerkin methods for some interface problems arising in biological media Interface problems are often referred to as differential equations with discontinuous coeffcients The discontinuity of the physical coeffcients is due to the presence of different material properties across the interface In biological system it is natural to have heterogeneity in the underlying medium as properties of biological media...