三维Navier-Stokes方程加罚有限元的共轭梯度法和分块迭代法

李开泰; 黄艾香; 李笃; 刘之行

三维Navier-Stokes方程加罚有限元的共轭梯度法和分块迭代法

西安交通大学

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出版历程
- 收稿日期: 1982-12-12
- 刊出日期: 1983-12-15

The Conjugate Gradient Method and Block Iterative Method for Penalty Finite Element of Three-Dimensional Navier-Stokes Equations

Xi'an Jiaotong University, Xi'an

摘要

摘要: 本文对Navier-Stokes问题加罚变分形成有限元解给出了共轭梯度算法和分块迭代算法,由于共轭梯度算法中,求解单变量极小值问题得到简化,使得计算时间大为节约. 本文还给出了计算实例.

Abstract: A conjugate gradient and block iterative algorithm for element solution of penalty variational form of Navier-Stokes equations are presented. Because the algorithm of solving single variable minimizing problem is simplified, the computing time is greatly saved.In this paper numerical examples are also provided.

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参考文献(15)

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