Abstract:
In this thesis,FEM has been used to solve the 2D Laplace equations over regular
domain.The FEM discritization involves both triangular and rectangular element.
A simple test examples were given to check the applicability of FEM with various
number of nodal points. The computational accuracy results are based on error
analysis shown in tables and graphs.The study shows that increasing the number
of nodes may increase accuracy. By using this method and analysis the result were
given for three different examples. To show the effectiveness of this method with
the help of mathlab program code. The result of the given examples were displayed
using tables and graphs for numerical solution, exact solution and absolute error.
From the result obtained compared the three results.The absolute error was ob
tained by subtracting the numerical solution from analytic solution. As the number
of node increases the error decreases and converges to exact solution.The graph of
numerical solution and analytic solutions was nearly similar.This shows the effec
tiveness, efficiency and reliability of using FEM of solving two dimensional Laplace
equations
