Multiscale and geometric methods for linear elliptic and parabolic partial differential equations
- In this thesis a variety of linear elliptic and parabolic boundary value probelms with general geometries are investigated. In chapter 3 and chapter 4, we derive a fictitious domain/penalty method for parabolic PDE with Dirichlet and Neumann conditions, got some convergence results and error estimates. In chapter 5, we construct a fictitious domain/successive approximation approach to a variety of BVP and present multigrid algorithms. In chapter 6, a modified wavelet sampling formulae is established and used for a class of anisotropic problems to get a robust fast solver.
Download full text
Cite this publication
Citable URL (?):
http://nbn-resolving.org/urn:nbn:de:101:1-201305171104
Search for this publication
| Publishing Institution: | IRC-Library, Information Resource Center der Jacobs University Bremen |
|---|---|
| Granting Institution: | Jacobs Univ. |
| Author: | Shaowu Tang |
| Referee: | Raymond O. Wells, Marcel Oliver, Götz Pfander, Joachim Vogt, Wolfgang Hiller |
| Advisor: | Raymond O. Wells |
| Persistent Identifier (URN): | urn:nbn:de:101:1-201305171104 |
| Document Type: | PhD Thesis |
| Language: | English |
| Date of Successful Oral Defense: | 2005/06/29 |
| Year of First Publication: | 2005 |
| PhD Degree: | Mathematics |
| Library of Congress Classification: | Q Science / QA Mathematics (incl. computer science) |
| School: | SES School of Engineering and Science |
| Call No: | Thesis 2005/06 |
