Weak galerkin finite element methods for some interface problems with nonhomogeneous jump conditions

Abstract

The objective of this thesis is to provide higher order convergence of weak Galerkin finite element solutions to the exact solutions of some time dependent partial differential equations with Lipschitz continuous interfaces In this thesis we have proposed non conforming fitted weak Galerkin finite element methods WG FEMs for some interface problems with nonhomogeneous jump conditions and related convergence analysis are carried out under low global regularity of the true solution First...