The error analysis is made for the simple annular domain with the circular boundaries having the same origin. The error bounds are derived, and the optimal convergence rates can be archived. For circular domains with circular boundaries, the same convergence rates can be achieved by strict proof. Moreover, the NFM algorithms and its conservative schemes can be applied to very small holes, which are difficult for other numerical methods to handle. Both the NFM and the collocation Trefftz method(CTM) are used for very small circular holes, the CTM is superior to the NFM in accuracy and stability.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0812111-021620 |
| Date | 12 August 2011 |
| Creators | Lin, I-Sheng |
| Contributors | Hung-Tsai Huang, Tsung-Lin Lee, Tzon-Tzer Lu, Zi-Cai Li, Jeng-Tzong Chen |
| 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-0812111-021620 |
| Rights | unrestricted, Copyright information available at source archive |
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