Error analysis for the discontinuous Galerkin finite element method of the convection-diffusion problem
Other Title(s)
تحليل الخطأ بطريقة كالركن الغير مستمرة للعناصر المحددة لمسألة الحمل و الانتشار
Dissertant
Thesis advisor
Salim, Yahya Hashim
Kashkul, Hashim Abd al-Khaliq
Comitee Members
Abd al-Hadi, Ahmad M.
al-Muslimawi, Ala H.
Jari, Rabi Hadi
University
University of Basrah
Faculty
College of Education for Pure Sciences
Department
Department of Mathematics
University Country
Iraq
Degree
Master
Degree Date
2013
English Abstract
In the present thesis, the discontinuous Galerkin finite element (DGFE) method for two dimension linear convection–diffusion problem is considered.
Here two cases are discussed.
Firstly, the DGFE method is applied for space discretization, continuous in time and discontinuous in space.
Secondly, the DGFE method for spacetime discretization, is performed separately in space and time.
In addition, the properties of the bilinear form , (v-elliptic and continuity), stability for both cases are studied.
Moreover, we proved that the approximate solution is converge with error of order and for both cases respectively.
Main Subjects
No. of Pages
60
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction and review of literature.
Chapter Two : Continuous and discontinuous finite element spaces.
Chapter Three : Error analysis for the DGFE method of space discretization.
Chapter Four : Error analysis for the DGFE method of space-time discretization.
Conclusion.
References.
American Psychological Association (APA)
Muftin, Ghazzi Abd. (2013). Error analysis for the discontinuous Galerkin finite element method of the convection-diffusion problem. (Master's theses Theses and Dissertations Master). University of Basrah, Iraq
https://search.emarefa.net/detail/BIM-744188
Modern Language Association (MLA)
Muftin, Ghazzi Abd. Error analysis for the discontinuous Galerkin finite element method of the convection-diffusion problem. (Master's theses Theses and Dissertations Master). University of Basrah. (2013).
https://search.emarefa.net/detail/BIM-744188
American Medical Association (AMA)
Muftin, Ghazzi Abd. (2013). Error analysis for the discontinuous Galerkin finite element method of the convection-diffusion problem. (Master's theses Theses and Dissertations Master). University of Basrah, Iraq
https://search.emarefa.net/detail/BIM-744188
Language
English
Data Type
Arab Theses
Record ID
BIM-744188
