Journal of Northeastern University Natural Science ›› 2014, Vol. 35 ›› Issue (7): 1051-1053.DOI: 10.12068/j.issn.1005-3026.2014.07.031

• Mathematics • Previous Articles     Next Articles

Study of Iterative Methods for TimeDependent Stokes Equations

SHEN Hailong, LI Xiaosha, SHAO Xinhui   

  1. School of Sciences, Northeastern University, Shenyang 110819, China.
  • Received:2013-08-28 Revised:2013-08-28 Online:2014-07-15 Published:2014-04-11
  • Contact: SHEN Hailong
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Abstract: The solution to the timedependent Stokes equations has broad application in physics, discrete dynamic system, scientific computing, and other fields.However, the equations are timedependent partial differential equations and very difficult to solve in practice. To solve this problem, a new dual preconditioned method was firstly constructed based on preconditioned technology. Then their iterative formats, convergence domains and the corresponding conclutions were given. The convergence rate of the iterative method was improved by modifying the parameters in the iterative method and preprocessing on the equations themselves. Finally, the feasibility and effectiveness of the dual preconditioned iterative method were verified with numerical examples.

Key words: differentialalgebra equation, timedependent Stokes equations, dual preconditioned method, iterative method, convergence domain

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