带非线性滑移边界条件的Stokes方程的一种并行有限元算法

A Parallel Finite Element Algorithm for Stokes Equations with Nonlinear Slip Boundary Conditions

在完全区域分解法的基础上,提出一种解带非线性滑移边界条件的Stokes方程的并行有限元算法.由于这类边界具有次微分性,故其弱变分形式是第二类变分不等式.并行有限元近似解的最优误差估计将通过理论分析得到.最后,数值结果验证了算法的高效性.

Based on full domain partition,a parallel finite element algorithm has been proposed for the Stokes equations with nonlinear slip boundary conditions.The variational form of these equations are variational inequalities of the second kind due to the subdifferentional property included by the nonlinear slip boundary condition.The optimal error estimates of the parallel finite element approximate solutions have been obtained by theoretical analysis.Some numerical results have been given to demonstrate the high efficiency of the parallel algorithm.