Kefyalew, Erimyas (2016) Variational Formulation of Elliptic Partial Differential Equations and Basics in Finite Element Method. Masters thesis, Addis Ababa University.
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PDF (Variational Formulation of Elliptic Partial Differential Equations and Basics in Finite Element Method)
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Abstract
Elliptic partial differential equations appear frequently in various fields of science and engineering. These involve equilibrium problems and steady state phenomena. The most common example of such equation is poisson’s equation. Most of these physical problems are very hard to solve analytically, instead, they can be solved numerically using computational methods. The finite element method is the most popular numerical method for solving elliptic boundary value problems. In this project, we introduce the concept of weak formulation, the finite element method, the finite element interpolation theory and its application in error estimates of finite element solutions of linear elliptic boundary value problems. This project also include the numerical solution of a two dimensional poisson equation with dirichlet boundary conditions by finite element method.
| Item Type: | Thesis (Masters) |
|---|---|
| Uncontrolled Keywords: | Weak formulation, Finite Element Method, Poisson Equation |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Africana |
| Depositing User: | Selom Ghislain |
| Date Deposited: | 28 Jun 2018 14:24 |
| Last Modified: | 28 Jun 2018 14:24 |
| URI: | http://thesisbank.jhia.ac.ke/id/eprint/6200 |
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