【摘要】 考虑三维S tokes问题的一种混合有限元超收敛,采用满足B abuska-B rezz i条件的B ernad i-R auge l元,对三维空间中的立方体进行正则剖分,通过构造插值后处理算子以及应用B ram b le-H ibert引理得到的解精度提高一阶.更多还原

【Abstract】 Superconvergence of a mixed finite element approximation for the three-dimensional Stokes problem is presented.By using the Bernadi-Raugel mixed finite elements which satisfies the Babuska-Brezzi condition a basic error is gained.Considering the problem on the piecewise uniform cuboid elements in the three-dimensional space,the convergence rate of the solution can be increased an order by using the interpolation and Bramble-Hibert lemma.更多还原