三维Stokes绕流问题的无限元逼近(英文)  

Infinite Element Approximation to the Exterior Problem of Stokes Flow

作　　者：方能胜[1] 应隆安[1] 

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《数学研究》2009年第1期1-19,共19页Journal of Mathematical Study

摘　　要：设计了一种最少自由度的无限元方法来实现三维Stokes绕流问题的求解.通过验证强制性和inf-sup条件,我们证明了相应的离散混合变分问题解的适定性,并在加权Sobolev空间中得到了误差的先验估计.数值实验结果验证了解的收敛性.An infinite element method with the least degrees of freedom is designed to realize the numerical computation of three dimensional exterior problem of the stationary Stokes flow.Wellposedness of the discrete mixed variational problem is obtained by verifying the coercivity and the inf-sup condition,and the error estimates are established in weighted Sobolev spaces.Numerical experiments are supplied to confirm the convergence at last.

关 键 词：无限元 外问题 Stokes绕流 bubble基 

分 类 号：O241.82[理学—计算数学]