A POSTERIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATION OF UNSTEADY INCOMPRESSIBLE STOCHASTIC NAVIER-STOKES EQUATIONS

作者：Yang Xiaoyuan^*; Duan Yuanyuan; Guo Yuhua

来源：SIAM Journal on Numerical Analysis, 2010, 48(4): 1579-1600.

DOI：10.1137/080732080

• stochastic Navier-Stokes equations
• posteriori error estimates
• finite element method
• error bounds

In this paper, we consider the unsteady incompressible stochastic Navier-Stokes equations containing a noise part. The purpose of this paper is to derive a posteriori error estimates for the finite element approximation of stochastic equations applied the weighted Clement-type interpolator. We obtain the posteriori error upper and lower bounds for the semidicretization scheme and the full backward Euler discretization scheme.

• 出版日期2010
• 单位北京航空航天大学