摘要
本文提出解Stokes问题的非协调广义差分法,速度用不连续分片线性函数逼近,压力用分片常数函数逼近。速度近似按‖.‖_h模,压力近似按L^2模都具有最优的逼近阶误差估计。本文还给出了数值计算结果。
A nonconforming generlized difference approximation for solving Stokes equations, in 2-dimension is proposed with triangular element mesh method. The subspace of velocity field is formed by piecewise-linear functions, the subspace of pressure and those of test functions are formed by precewise constant functions.Error estimates for this approximation in both velocity and pressure are also given wtih showing optimal approximate order.
出处
《计算物理》
CSCD
北大核心
1993年第2期129-136,共8页
Chinese Journal of Computational Physics
关键词
非协调元
差分法
斯托克斯流动
Stokes prob.lem, nonconforming element, gereralized difference method.