Please use this identifier to cite or link to this item:
http://hdl.handle.net/10603/423720
Title: | A Study on Singularly Perturbed Problems under Adaptive Finite Element Framework |
Researcher: | Kaur, Brehmit |
Guide(s): | Sangwan, Vivek |
Keywords: | Finite element method Mathematics Mathematics Interdisciplinary Applications Numerical analysis Physical Sciences |
University: | Thapar Institute of Engineering and Technology |
Completed Date: | 2021 |
Abstract: | In this thesis work, robust and efficient adaptive finite element techniques have been proposed for approximating the solutions of singularly perturbed PDEs arising during the analysis of biological systems, heat transfer process, mass transfer process, etc. The research work started with the following three objectives: 1. To propose robust and efficient numerical adaptive finite element technique for linear and non-linear one dimensional singularly perturbed problems. 2. To extend the proposed adaptive techniques (Objective 1) to higher dimensional singularly perturbed problems. 3. To solve some realistic problems arising in various branches of science and engineering. One of the model problems to be considered is Burger Huxley problem. Keeping these objectives in view, the research work has been carried out. These objectives have been achieved via the work which has been categorized into five different Chapters newline |
Pagination: | 157p. |
URI: | http://hdl.handle.net/10603/423720 |
Appears in Departments: | School of Mathematics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
01_title.pdf | Attached File | 77.16 kB | Adobe PDF | View/Open Request a copy |
02_prelim pages.pdf | 460.98 kB | Adobe PDF | View/Open Request a copy | |
03_content.pdf | 94.75 kB | Adobe PDF | View/Open Request a copy | |
04_abstract.pdf | 140.29 kB | Adobe PDF | View/Open Request a copy | |
05_chapter 1.pdf | 358.9 kB | Adobe PDF | View/Open Request a copy | |
06_chapter 2.pdf | 738.85 kB | Adobe PDF | View/Open Request a copy | |
07_chapter 3.pdf | 420.39 kB | Adobe PDF | View/Open Request a copy | |
08_chapter 4.pdf | 247.2 kB | Adobe PDF | View/Open Request a copy | |
09_chapter 5.pdf | 664.02 kB | Adobe PDF | View/Open Request a copy | |
10_annexures.pdf | 101.11 kB | Adobe PDF | View/Open Request a copy | |
80_recommendation.pdf | 699.8 kB | Adobe PDF | View/Open Request a copy |
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