摘要
In this paper,we construct a tetrahedral element named DST20 for the three dimensional Darcy-Stokes problem,which reduces the degrees of velocity in [30].The finite element space Vh for velocity is H(div)-conforming,i.e.,the normal component of a function in Vh is continuous across the element boundaries,meanwhile the tangential component of a function in Vh is average continuous across the element boundaries,hence Vh is H^1- average conforming.We prove that this element is uniformly convergent with respect to the perturbation constant s for the Darcy-Stokes problem.At the same time,we give a discrete de Rham complex corresponding to DST20 element.
基金
the National Natural Science Foundation of China (No.11071226).
