| 定常非对称流动方程的最小二乘Petrov-Galerkin有限元方法 |
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| 引用本文： | 陈瑞阁,冯民富.定常非对称流动方程的最小二乘Petrov-Galerkin有限元方法[J].四川大学学报(自然科学版),2003,40(4):646-650. |
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| 作者姓名： | 陈瑞阁 冯民富 |
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| 作者单位： | 四川大学数学学院,成都,610064 |
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| 摘 要： | 证明了定常非对称流动方程变分格式解的存在唯一性，并建立了其G／L-S稳定化有限元格式，证明了有限元离散解对任意有限元空间组合是稳定的，并给出有限元解的收敛性和误差估计．
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| 关 键 词： | 存在性 收敛性 不动点定理 离散解 有限元法 |
A Least Squares Petrov-Galerkin Finite Element Method for the Stationary Dissymmetry Flow Equations |
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| Abstract.A Least Squares Petrov-Galerkin Finite Element Method for the Stationary Dissymmetry Flow Equations[J].Journal of Sichuan University (Natural Science Edition),2003,40(4):646-650. |
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| Authors: | Abstract |
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| Abstract: | The authors proved the existence and uniqueness of the solution for the variational form of the stationary dissymmetry flow equations. Then a G/L-S stabilized finite element discrete form is proposed.And that the finite element discrete solution is stable for any combination of finite element spaces is proved. But also the convergence and error estimate of the finite element solution are showed. |
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| Keywords: | Brouwer's fixed point theory least squares stationary dissymmetry finite element method |
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