本文首先给出$H^1$-模意义下多孔介质中非Fick流的矩形双线性元的渐 进误差展开,进而通过插值后处理方法得到一种插值校正格式来提高有限元近 似解的精度.

In the sense of $H^1$-norm, asymptotic error expansions of bilinear finite elements for non-Fickian flows in porous media are presented, and then by means of an interpolation post-processing technique a defect correction method is proposed to improve the accuracy of finite element approximations.