For the method of fundamental solutions(MFS), many reports deal
with 2D problems. Since the MFS is more advantageous for 3D
problems, this thesis is devoted to Laplace's equation in 3D
problems. Since the fundamental solutions(FS)
£X(x,y)=1/(4£k||x-y||), x,y∈R^3
are known, the location of source points is important in real
computation. In this thesis, we choose a cylinder as the solution
domain, and the source points on larger cylinders and spheres.
Numerical results are reported, to draw some useful conclusions.
The theoretical analysis will be explored in the future.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0709109-015029 |
| Date | 09 July 2009 |
| Creators | Chi, Ya-Ting |
| Contributors | Zi-Cai Li, Chien-Sen Huang, Lih-Jier Yeong, Hung-Tsai Huang, Tzon-Tzer Lu |
| 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-0709109-015029 |
| Rights | off_campus_withheld, Copyright information available at source archive |
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