Abstract:
Abstract
This thesis treats Poisson's equation and its approximate solution using the nite
element method. For this purpose, a general theory of the nite element method
and its strategy are explained brie y. Then, Poisson's equation, its derivation and
applications are explained in details. The nite element method is then applied to
approximate the solution of Poisson's equation in one and two dimensional spaces.
In this essence, error analysis is studied for the Poisson's equation in both categories,
a posteriori and a priori error estimates.
In addition, the thesis discusses the numerical solution for the Poisson's equation
throughout examples in one and two dimensions using the MATLAB software.
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