UNIFORMLY CONVERGENT NONCONFORMING TETRAHEDRAL ELEMENT FOR DARCY-STOKES PROBLEM  

作　　者：Lina Dong Shaochun Chen 

机构地区：[1]Department of Mathematics,Henan Finance University,Zhengzhou 450046,China [2]Department of Mathematics,Zhengzhou University,Zhengzhou 450001,China

出　　处：《Journal of Computational Mathematics》2019年第1期130-150,共21页计算数学（英文）

基　　金：the National Natural Science Foundation of China (No.11071226).

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.

关 键 词：Darcy-Stokes PROBLEM Mixed FINITE elements TETRAHEDRAL element UNIFORMLY CONVERGENT 

分 类 号：O1[理学—数学]