| Stokes方程非协调有限元逼近的快速迭代过程 |
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| 引用本文： | 陈素琴 姜存礼. Stokes方程非协调有限元逼近的快速迭代过程[J]. 同济大学学报(自然科学版), 1998, 26(1): 94-100 |
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| 作者姓名： | 陈素琴 姜存礼 |
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| 作者单位： | 同济大学应用数学系!上海，200092(陈素琴，姜存礼，黄自萍)，同济大学桥梁工程系!上海，200092(顾明) |
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| 基金项目： | 国家自然科学基金!19601028，上海市教委科技基金!95QA02，同济大学科技发展基金 |
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| 摘 要： | 对Ｓｔｏｋｅｓ方程的非协调有限元逼近提出了一个快速计算方法。基本思想是把原来的对称不定问题的计算转化为对称正定问题的计算，这个对称正定问题将由共轭斜量法求解，而共轭斜量法中每步迭代的计算需要求解带正定矩阵的线性代数方程组，采用亏量校正算法来近似求解，证明了算法具有与网格步长无关的小于１的收敛率。
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| 关 键 词： | Stokes方程 非协调 有限元逼近 快速迭代过程 |
Fast Iterative Procedure for Stokes Equation by the Nonconforming Finite Element Approximation |
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| Chen Suqin, Jiang Cunli ,Huang Ziping. Fast Iterative Procedure for Stokes Equation by the Nonconforming Finite Element Approximation[J]. Journal of Tongji University(Natural Science), 1998, 26(1): 94-100 |
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| Authors: | Chen Suqin Jiang Cunli Huang Ziping |
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| Abstract: | In this paper we describe an algorithm for the solution of stokes problem by nonconforming finite elementapproximation.The original indefinite problem can be transformed into an dquation involving asymmetric,positive edfinite linear operator.Authors apply aconjugate gradient for this equation.Each evalution of the equation requires to solve two positive finite element discrete equations.This is done approximately using defect correction algorithm. It is proved that the convergence rate of the algorithm is bounded away form 1 independently of the meshsize. |
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| Keywords: | Stokes equation Nonconforming finite element approximation Fast iterative procedure |
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