標題: | Fast Poisson solver in a three-dimensional ellipsoid |
作者: | Lai, MC 交大名義發表 National Chiao Tung University |
關鍵字: | fast Poisson solver;elliptical coordinates;prolate spheroidal coordinates;symmetry condition |
公開日期: | 2003 |
摘要: | We present a simple and efficient fast direct solver for 3D Poisson problem in elliptical coordinates. The method relies on representing the solution as a truncated Fourier series, then solving the partial differential equation of Fourier coefficients by second-order finite difference discretizations. Using a grid by shifting half mesh away from the poles and incorporating the derived numerical boundary values, the difficulty of coordinate singularities can be elevated easily. Besides, the resulting linear equations can be solved very efficiently by some existing numerical algorithms. |
URI: | http://hdl.handle.net/11536/18435 |
ISBN: | 0-8218-3261-1 |
ISSN: | 0271-4132 |
期刊: | CURRENT TRENDS IN SCIENTIFIC COMPUTING |
Volume: | 329 |
起始頁: | 203 |
結束頁: | 208 |
顯示於類別: | 會議論文 |