各向异性网格下Stokes问题Bernardi-Raugel混合元近似的超收敛

Superconvergence of Bernardi-Raugel mixed finite element approximation for Stokes problem on anisotropic meshes

给出求解Stokes问题Bernardi-Raugel混合元近似解在各向异性网格下的超逼近与超收敛.在H1范数下,速度函数u的近似解经插值后处理后,与通常有限元误差估计相比,其收敛于精确解的速度提高了一阶.

Superclose and superconvergence of the Bernardi-Raugel mixed finite element approximation for the Stokes problem are obtained on anisotropic meshes. Comparing with the general error estimation of the finite element, the convergence rate for velocity u can be increased by one order by the interpolation postprocessing in H1 -norm.