Numerical simulations of incompressible Navier-Stokes equations by adaptive penalty finite element m

• 作 者: ZHANGYun-zhang[1]ZHOUJia-quan[2]XUChao[2]
• 机 构: School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471003,P.R.C
• 出 处: 第六届中国智能计算大会
• 发表日期: 2012年期

　　In this paper,we have combined penalty method and adaptive finite element method to simulate incompressible Navier-Stokes equations.We first give two types of error estimators,then present three kinds of numerical experiments.The first numerical example is to verify the convergence results of [Int.J.Inf.Syst.Sci.2(2006) 131-143].The other two numerical experiments are to affirm the reliability and efficiency of error estimator.It was found that our adaptive penalty finite element method can save large lots of work.