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预处理CG算法解油藏模拟问题的有效性比较
引用本文:舒继武,周维四.预处理CG算法解油藏模拟问题的有效性比较[J].高等学校计算数学学报,1998,20(4):299-305.
作者姓名:舒继武  周维四
作者单位:南京大学计算机科学系 南京210093
基金项目:国家863高科技项目资金资助
摘    要:1引言 在大型科学和工程计算问题的实际应用中,经常会遇到求解除椭圆型或抛物线型偏微分方程问题。经差分法或有限元方法离散化后得到一个大型稀疏线性方程组。本文比较了几

关 键 词:油藏模拟  线性代数方程  预处理  CG算法  储量

EFFECTIVENESS COMPARISON FOR PRECONDITIONED CONJUGATE GRADIENT ALGORITHMS SOLVING RESERVOIR SIMULERICAL PROBLEM
Shu Jiwu,Zhou Weisi,Zhang Defu.EFFECTIVENESS COMPARISON FOR PRECONDITIONED CONJUGATE GRADIENT ALGORITHMS SOLVING RESERVOIR SIMULERICAL PROBLEM[J].Numerical Mathematics A Journal of Chinese Universities,1998,20(4):299-305.
Authors:Shu Jiwu  Zhou Weisi  Zhang Defu
Institution:Nanjing University
Abstract:In this paper, we make a comparison between a few preconditioned conjugate gradient methods for solving large sparse linear systems, then analyze the influ ence on calculation and memory of methods in difference uncertainty sequence. The result shows that D4 order preconditioned conjugate gradient methods for solving large equations convergent quicker and more effective than other methods. We also consider the application of these algorithms in numerical simulation of reservoir.
Keywords:large sparse linear system  preconditioned conjugate gradient methods  
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