Finite element solution for elliptic partial differential equations
General Material Designation
[Thesis]
First Statement of Responsibility
Hossen, Khalid Abd A.
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
Loughborough University of Technology
Date of Publication, Distribution, etc.
1984
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
Thesis (Ph.D.)
Text preceding or following the note
1984
SUMMARY OR ABSTRACT
Text of Note
The contents of this thesis are a detailed study of the implementation of Finite Element method for solving linear and non-linear elliptic partial differential equations. It commences with a description and classification of partial differential equations, the related matrix and eigenvalue theory and the related matrix methods to solve the linear and non-linear systems of equations. In Chapter Three, we discuss the development of the, finite element method and its application with a full description of an orderly step-by-step process. In Chapter Four, we discuss the implementation of developing an efficient easy-to-use finite element program for the general two-dimensional problem along with the capability of handling problems for different domains and boundary conditions and with a fully automated mesh generation and refinement technique along with a description of generalised pre- and post-processors for the Finite Element Method.