宁夏大学学报（自然科学版）2012，Vol.33Issue(1)：1-5,5.
基于三维对流扩散方程四阶紧致差分格式的预条件迭代法
Preconditioned Iterative Methods Based on the Fourth-order Compact Scheme of the 3D Convection-diffusion Equation
摘要
Abstract
The fourth-order compact difference scheme and preconditioned iterative methods are employed to conduct numerical study on three dimensional convection-diffusion equation. The incomplete LU decomposition preconditioner with fill-ins(ILUT(τ,s)) and the FGMRES(20) iterative accelerators are applied to solve the discrete linear equations. The accuracy of the fourth-order compact difference scheme is verified, and the advantages of preconditioned iterative methods are sufficiently demonstrated by comparing the iteration numbers and CPU time with the conventional Gauss-Seidel and successive over relaxation methods.关键词
三维对流扩散方程/四阶紧致格式/迭代法/预条件技术/不完全LU分解Key words
three dimensional convection-diffusion equation/ fourth-order compact scheme/ iterative meth-ods/ preconditioned technique/ incomplete LU decomposition.分类
数理科学引用本文复制引用
袁冬芳,庄昕,葛永斌..基于三维对流扩散方程四阶紧致差分格式的预条件迭代法[J].宁夏大学学报（自然科学版）,2012,33(1):1-5,5.基金项目
国家自然科学基金资助项目(11061025) （11061025）
教育部科学技术研究重点项目(210239) （210239）
霍英东教育基金会高等院校青年教师基金资助项目(121105) （121105）
宁夏自然科学基金资助项目(NZ0937) （NZ0937）
