標題: | An error minimized pseudospectral penalty direct Poisson solver |
作者: | Horng, Tzyy-Leng Teng, Chun-Hao 應用數學系 數學建模與科學計算所(含中心) Department of Applied Mathematics Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics |
關鍵字: | Pseudospectral penalty method;Poisson equations;Diagonalization |
公開日期: | 20-三月-2012 |
摘要: | This paper presents a direct Poisson solver based on an error minimized Chebyshev pseudospectral penalty formulation for problems defined on rectangular domains. In this study the penalty parameters are determined analytically such that the discrete L-2 error is minimized. Numerical experiments are conducted and the results show that the penalty scheme computes numerical solutions with better accuracy, compared to the traditional approach with boundary conditions enforced strongly. (C) 2011 Elsevier Inc. All rights reserved. |
URI: | http://dx.doi.org/10.1016/j.jcp.2011.11.042 http://hdl.handle.net/11536/15549 |
ISSN: | 0021-9991 |
DOI: | 10.1016/j.jcp.2011.11.042 |
期刊: | JOURNAL OF COMPUTATIONAL PHYSICS |
Volume: | 231 |
Issue: | 6 |
起始頁: | 2498 |
結束頁: | 2509 |
顯示於類別: | 期刊論文 |