In literature Trefftz method normally has geometric (exponential) convergence. Recently many scholars have found that spectral method in some cases can converge faster than exponential, which is called super-geometric convergence. Since Trefftz method can be regarded as a kind of spectral method, we expect it might possess super-geometric convergence too. In this thesis, we classify all types of super-geometric convergence and compare their speeds. We develop a method to decide the convergent type of given error data. Finally we can observe in many numerical experiments the super-geometric convergence of Trefftz method to solve Helmholtz boundary value problems.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0807112-112527 |
| Date | 07 August 2012 |
| Creators | Yan, Kang-Ming |
| Contributors | Zi-Cai Li, Tzon-Tzer Lu, Chien-Sen Huang |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0807112-112527 |
| Rights | user_define, Copyright information available at source archive |
Page generated in 0.0022 seconds