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基于近似惯性流形的后验Galerkin的方法 被引量:1

THE POST-GALERKIN METHOD BASED ON AN APPROXIMATE INERTIAL MANIFOLD
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摘要 In this paper, we give a new approximate inertial manifold and application to nonlinear elliptic boundary value problems. The approximate solution possesses over double convergence rate compared with the standard Galerkin approximate solution. And an example is given. The result of the numerical simulates show that the Post-Galerkin Method is very effective in improving precision of the ap- proximate solution. In this paper, we give a new approximate inertial manifold and application to nonlinear elliptic boundary value problems. The approximate solution possesses over double convergence rate compared with the standard Galerkin approximate solution. And an example is given. The result of the numerical simulates show that the Post-Galerkin Method is very effective in improving precision of the ap- proximate solution.
出处 《计算数学》 CSCD 北大核心 2001年第3期289-298,共10页 Mathematica Numerica Sinica
基金 国家自然科学基金资助项目 编号19671067。
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  • 1Xu J,1989年
  • 2Ciprian Foias,George R. Sell,Edriss S. Titi. Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations[J] 1989,Journal of Dynamics and Differential Equations(2):199~244
  • 3P. Constantin,C. Foias,B. Nicolaenko,R. Témam. Spectral barriers and inertial manifolds for dissipative partial differential equations[J] 1989,Journal of Dynamics and Differential Equations(1):45~73
  • 4李开泰,黄艾香.Navier-Stokes方程的近似惯性流形方法[J].西安交通大学学报,1991,25(5):7-15. 被引量:6

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