Citation: | Hou Yanren, Li Kaitai. A Simple Postprocess Procedure for Galerkin Method[J]. Applied Mathematics and Mechanics, 2000, (1): 73-79. |
[1] |
Foias C,Sell G R,Temam R.Inertial manifolds for nonlinear evolutionary equations[J].J Diff Eqs,1988,73:309~353.
|
[2] |
Foias C,Manley O,Temam R.On the interaction of small eddies in two-dimensional turbulence flows[J].Math Modeling and Numerical Analysis,1988,22:93~114.
|
[3] |
Marion M,Temam R.Nonlinear Galerkin methods[J].SIAM J Numer Anal,1989,26:1139~1157.
|
[4] |
Marion M,Temam R.Nonlinear Galerkin methods:thefinite elementcase[J].Numer Math,1990,57:205~226,Numer Anal,1989,26:1139~1157.
|
[5] |
Marion M,Xu J.Error estimates on a new nonlinear Galerkin method based on two-grid finite elements[J].SIAM J Numer Anal,1995,32:1170~1184.
|
[6] |
侯延仁.Fourier非线性Galerkin方法[J].应用数学和力学,1996,17(9):829~836.
|
[7] |
Temam R.Navier-Stokes Equations[M].3rd Revised Edition.North-Holland Publishing Company,1984.
|
[8] |
Girault V,Raviart PA.Finite Element Methods for the Navier-Stokes Equations:Theory and Algorithms[M].Berlin:Springer-Verlag,1986.
|
[9] |
李开泰,马逸尘.数理方程Hilbert空间方法(上)[M].西安:西安交通大学出版社,1991.
|
[1] | WANG Bin, ZHOU Yanping, BIE Qunyi. Energy Conservation of the 4 D Incompressible Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2023, 44(8): 999-1006. doi: 10.21656/1000-0887.430370 |
[2] | XIE Hong-yan, LI Jie, HE Fang-yi. A Remark on Regularity for the Axisymmetric Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2017, 38(3): 276-283. doi: 10.21656/1000-0887.370192 |
[3] | QIN Yan-mei, LI Hui, FENG Min-fu. A Local Stabilized Nonconforming Finite Element Method for the Optimal Control of Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2016, 37(8): 842-855. doi: 10.21656/1000-0887.370137 |
[4] | SHANG Yue-qiang, LUO Zhen-dong. A Parallel Two-Level Finite Element Method for the Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1351-1359. doi: 10.3879/j.issn.1000-0887.2010.11.008 |
[5] | QIN Yan-mei, FENG Min-fu, LUO Kun, WU Kai-teng. Local Projection Stabilized Finite Element Method for the Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2010, 31(5): 618-630. doi: 10.3879/j.issn.1000-0887.2010.05.013 |
[6] | JIAO Yu-jian, GUO Ben-yu. Mixed Spectral Method for Exterior Problem of Navier-Stokes Equations by Using Generalized Laguerre Functions[J]. Applied Mathematics and Mechanics, 2009, 30(5): 525-537. doi: 10.3879/j.issn.1000-0887.2009.05.003 |
[7] | MA Fei-yao, MA Yi-chen, WO Wei-feng. Local and Parallel Finite Element Algorithms Based on Two-Grid Discretization for Steady Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2007, 28(1): 25-33. |
[8] | SHI Wei-hui, WANG Yue-peng. Impact of Singularity of Navier-Sokes Equation Upon the Atmospheric Motion Equations[J]. Applied Mathematics and Mechanics, 2007, 28(5): 614-618. |
[9] | SHI Wei-hui, WANG Yue-peng, SHEN Chun. Comparison of Stability Between Navier-Stokes and Euler Equations[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1101-1107. |
[10] | REN Chun-feng, MA Yi-chen. Residual a Posteriori Error Estimate Two-Grid Methods for the Steady Navier-Stokes Equation With Stream Function Form[J]. Applied Mathematics and Mechanics, 2004, 25(5): 497-510. |
[11] | HOU Yan-ren, LI Kai-tai. IMD Based Nonlinear Galerkin Method[J]. Applied Mathematics and Mechanics, 2003, 24(3): 289-299. |
[12] | REN Chun-feng, MA Yi-chen. Two-Grid Error Estimates for the Stream Function Form of Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 689-696. |
[13] | LUO Zhen-dong, ZHU Jiang. A Nonlinear Galerkin Mixed Element Method and a Posteriori Error Estimator for the Stationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(10): 1061-1072. |
[14] | LUO Zhen-dong, ZHU Jiang, WANG Hui-jun. A Nonlinear Galerkin/Petrov-Least Squares Mixed Element Method for the Stationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 697-706. |
[15] | HE Yin-nian, LI Kai-tai. Nonlinear Galerkin Method for the Exterior Nonstationary Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(11): 1141-1149. |
[16] | CHEN Da-duan, SHI Wei-hui. null[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1293-1300. |
[17] | Sun Jian'an, Zhu Zhengyou. A Mixture Differential Quadrature Method for Solving Two-Dimensional Incompressible Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1259-1266. |
[18] | Lu Dianchen, Tian Lixin, Liu Zengrong. Wavelet Basis Analysis in Perturbed Periodic KdV Equation[J]. Applied Mathematics and Mechanics, 1998, 19(11): 974-979. |
[19] | Tian Lixin, Xu Zhenyuan. The Research of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 1997, 18(10): 953-958. |
[20] | Shi Wei-hui, Fang Xiao-zuo. Stability of Navier-Stokes Equation(Ⅱ)[J]. Applied Mathematics and Mechanics, 1994, 15(10): 879-883. |