Kung Kin Chung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references (leaves 60-63). / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- 2-D Thermoelastic System --- p.5 / Chapter 2.1 --- Introduction to the thermo-elastic system --- p.5 / Chapter 2.2 --- Existing theoretical results on the system --- p.6 / Chapter 2.2.1 --- Well-posedness and energy decay phenomena of the thermoelastic system --- p.7 / Chapter 2.2.2 --- Reduction of the coupled thermoelastic sys- tem to a single heat equation --- p.8 / Chapter 2.3 --- Some existing numerical methods --- p.12 / Chapter 2.3.1 --- Explicit scheme --- p.12 / Chapter 2.3.2 --- Implicit scheme --- p.16 / Chapter 2.4 --- The formulation and transformation --- p.17 / Chapter 2.5 --- Finite element discretizations --- p.19 / Chapter 2.6 --- Existence of the discrete solution --- p.20 / Chapter 2.7 --- Numerical results --- p.23 / Chapter 2.7.1 --- Introduction to the FEM software --- p.23 / Chapter 2.7.2 --- Numerical experiments --- p.28 / Chapter 3 --- 3-D Elliptic Interface Problem --- p.35 / Chapter 3.1 --- Introduction to 2-D elliptic problems --- p.35 / Chapter 3.2 --- Finite element discretization --- p.36 / Chapter 3.3 --- Convergence of the numerical methods --- p.38 / Chapter 3.4 --- Numerical results --- p.43 / Chapter 3.4.1 --- Introduction --- p.43 / Chapter 3.4.2 --- Introduction to the FEM software --- p.45 / Chapter 3.4.3 --- Numerical experiments --- p.47 / Chapter 4 --- 2-D Parabolic Interface Problem --- p.53 / Chapter 4.1 --- Introduction to the 2-D parabolic problem --- p.53 / Chapter 4.2 --- Finite element discretization --- p.54 / Chapter 4.3 --- Existence and convergence analysis --- p.55 / Chapter 4.4 --- Numerical results --- p.57 / Chapter 4.4.1 --- Introduction --- p.57 / Chapter 4.4.2 --- Numerical experiments --- p.58 / Bibilography
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322145 |
| Date | January 1997 |
| Contributors | Kung, Kin Chung., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, iv, 63 leaves : ill. ; 30 cm. |
| Rights | Use of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/) |
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