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Chatzipantelidis P, Lazarrov R D, Thomee V. Error estimates for a finite volume element method for parabolic equations in convex in polygonal domains [J]. Numerical Methods for Partial Differential Equations, 2004, 20: 650–674.

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• 标题: 非定常Stokes方程的稳定化CN有限体积元格式A Stabilized Crank-Nicolson Finite Volume Element Formulation for Non-Stationary Stokes Equation

  作者: 李宏, 赵智慧, 罗振东

  关键字: Stokes方程, 稳定化Crank-Nicolson有限体积元格式, 误差估计Stokes Equation; Stabilized Crank-Nicolson Finite Volume Element Formulation; Error Estimate

  期刊名称: 《International Journal of Fluid Dynamics》, Vol.1 No.2, 2013-06-18

  摘要: 建立二维非定常Stokes方程的时间二阶精度的稳定化Crank-Nicolson (CN)有限体积元格式, 并给出其稳定化CN有限体积元解的误差估计。数值实验说明时间二阶精度的稳定化CN有限体积元格式比时间一阶精度格式更优越, 从而表明稳定化CN有限体积元格式对于求解非定常Stokes方程的数值解是有效可行的。 A stabilized Crank-Nicolson (CN) finite volume element formulation with time second-order accuracy is established for two-dimensional non-stationary Stokes equation. The error estimates of its numerical solutions are provided. Some numerical experiments are presented illustrating that the stabilized CN finite volume element formulation with time second-order accuracy is far more advantageous than that with time first-order accuracy, thus validating that the stabilized CN finite volume element formulation is feasible and efficient for finding the numerical solutions for two- dimensional non-stationary Stokes equation.