Lee, Ho Fung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (p. 75-79). / Abstracts in English and Chinese. / Chapter 1 --- Upscaling methods for high contrast problems --- p.6 / Chapter 1.1 --- Review on upscaling methods --- p.7 / Chapter 1.2 --- Upscaling method with high contrast of the conductivity --- p.11 / Chapter 2 --- Multiscale finite element methods for high contrast problems --- p.19 / Chapter 2.1 --- Review on Multiscale finite element methods --- p.20 / Chapter 2.2 --- Local spectral basis functions --- p.23 / Chapter 2.3 --- Discussion for MsFEM with spectral multiscale basis functions . --- p.25 / Chapter 3 --- Elliptic equations in high-contrast heterogeneous media --- p.28 / Chapter 3.1 --- Preliminaries --- p.29 / Chapter 3.2 --- Integral representation --- p.32 / Chapter 3.3 --- The well-posedness of the integral equation --- p.37 / Chapter 4 --- A numerical approach for the Elliptic equations in high-contrast heterogeneous media --- p.45 / Chapter 4.1 --- Introduction --- p.46 / Chapter 4.2 --- A new approach --- p.47 / Chapter 4.3 --- Discussion of the results --- p.50 / Chapter 4.4 --- Numerical experiment --- p.51 / Chapter 5 --- A preconditioner for high contrast problems using reduced-contrast approximations --- p.62 / Chapter 5.1 --- Reduced-contrast approximations for the solution of elliptic equations --- p.63 / Chapter 5.2 --- Review on multigrid methods --- p.66 / Chapter 5.3 --- Preconditioning and numerical experiments --- p.70 / Bibliography --- p.75
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327576 |
| Date | January 2011 |
| Contributors | Lee, Ho Fung., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 79 p. : 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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