Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping
作者： Jilian Wu , Pengzhan Huang , Xinlong Feng
DOI: 10.1155/2013/985864
关键词:
摘要: … These equations describe various physical situations such … results for the stabilized mixed finite element methods for the … , we review several stabilized mixed finite element methods and …
hindawi.com
core.ac.uk参考文章(22)
Cai Xiaojing, Lei Lihua, L2 decay of the incompressible Navier-Stokes equations with damping Acta Mathematica Scientia. ,vol. 30, pp. 1235- 1248 ,(2010) , 10.1016/S0252-9602(10)60120-8
Marco Picasso, Jacques Rappaz, Stability of time-splitting schemes for the Stokes problem with stabilized finite elements Numerical Methods for Partial Differential Equations. ,vol. 17, pp. 632- 656 ,(2001) , 10.1002/NUM.1031
Rodolfo Araya, Gabriel R. Barrenechea, Frédéric Valentin, Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem SIAM Journal on Numerical Analysis. ,vol. 44, pp. 322- 348 ,(2006) , 10.1137/050623176
Xiu Ye, A Discontinuous Finite Volume Method for the Stokes Problems SIAM Journal on Numerical Analysis. ,vol. 44, pp. 183- 198 ,(2006) , 10.1137/040616759
Jian Li, Yinnian He, Zhangxin Chen, Performance of several stabilized finite element methods for the Stokes equations based on the lowest equal-order pairs Computing. ,vol. 86, pp. 1- 15 ,(2009) , 10.1007/S00607-009-0064-5
Pengzhan Huang, Xinlong Feng, Demin Liu, A stabilised nonconforming finite element method for steady incompressible flows International Journal of Computational Fluid Dynamics. ,vol. 26, pp. 133- 144 ,(2012) , 10.1080/10618562.2011.646262
Pengzhan Huang, Yinnian He, Xinlong Feng, Numerical Investigations on Several Stabilized Finite Element Methods for the Stokes Eigenvalue Problem Mathematical Problems in Engineering. ,vol. 2011, pp. 1- 14 ,(2011) , 10.1155/2011/745908
Alexei A Ilyin, Edriss S Titi, None, The Damped-Driven 2D Navier–Stokes System on Large Elongated Domains Journal of Mathematical Fluid Mechanics. ,vol. 10, pp. 159- 175 ,(2008) , 10.1007/S00021-006-0226-6
Xinlong Feng, Yinnian He, Jixiang Meng, Application of modified homotopy perturbation method for solving the augmented systems Journal of Computational and Applied Mathematics. ,vol. 231, pp. 288- 301 ,(2009) , 10.1016/J.CAM.2009.02.018
Jim Douglas, Jun Ping Wang, An absolutely stabilized finite element method for the stokes problem Mathematics of Computation. ,vol. 52, pp. 495- 508 ,(1989) , 10.1090/S0025-5718-1989-0958871-X