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Finite element simulation of interface problems in one and two dimensions.

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322145
Date January 1997
ContributorsKung, Kin Chung., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, iv, 63 leaves : ill. ; 30 cm.
RightsUse 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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