Keung Yee Lo. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 109-111). / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Inverse problems and Parameter Identification --- p.1 / Chapter 1.2 --- Examples in inverse problems --- p.2 / Chapter 1.3 --- Applications in parameter identifications --- p.5 / Chapter 1.4 --- Difficulties arising in inverse problems --- p.7 / Chapter 2 --- Identifying Parameters in Parabolic Systems --- p.9 / Chapter 2.1 --- Introduction --- p.9 / Chapter 2.2 --- An averaging-terminal status formulation and existence of its solutions --- p.12 / Chapter 2.3 --- Optimization approach and its convergence --- p.17 / Chapter 2.4 --- Unconstrained minimization problems --- p.26 / Chapter 2.5 --- Armijo algorithm --- p.28 / Chapter 2.6 --- Numerical experiments --- p.32 / Chapter 2.6.1 --- Convergence of the minimization problem --- p.40 / Chapter 2.7 --- Noisy data --- p.59 / Chapter 3 --- Identifying Parameters in Elliptic Systems --- p.68 / Chapter 3.1 --- Augmented Lagrangian Method --- p.68 / Chapter 3.2 --- The discrete saddle-point problem --- p.70 / Chapter 3.3 --- An Uzawa algorithm --- p.71 / Chapter 3.4 --- Formulation of the algorithm --- p.73 / Chapter 3.5 --- Numerical experiments --- p.76 / Chapter 3.6 --- Alternative formulation of the cost functional --- p.90 / Chapter 3.7 --- Iterative GMRES method --- p.102 / Bibliography --- p.109
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322370 |
| Date | January 1998 |
| Contributors | Keung, Yee Lo., 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, 111 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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