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
Appears in Collections:Conferences Paper