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 |
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