Finite Element Method for Solving Elliptic 2D Problem on Linear Triangular Element

Abstract

This study investigates the finite element method for second order

elliptic issues in a two-dimensional polygonal region. In view of the

practical regularity assumptions of the real solution, optimal order

error estimates in ????

2

and ????

1

-norms are found for a finite element

based on uniform mesh for 2???? elliptic problem in Square domain

.On the other side of the research several examples have been written

to illustrate numerical solutions.