三维空间Stokes问题的两个各向异性非协调混合有限元逼近

Approximations of Two Anisotropic Nonconforming Mixed Finite Finite Elements to the Stokes Problem in 3-D

构造了两个可用于求解三维Stokes问题的各向异性非协调混合有限元格式,在不需要通常的辅助空间的情况下给出相应的收敛性分析和最优的误差估计。这两种单元具有构造简单,整体自由度少的特点,是目前较为理想的单元。该方法对进一步设计相关的自适应算法有潜在的应用价值。

Two anisotropic nonconforming mixed finite elements for solving Stokes problem in threedimensional are constructed. The optimal error estimates are obtained without auxiliary finite element spaces used in the previous literature. With the advantages of simple structure and fewer degrees of freedom, the above two elements are considered to be comparatively ideal finite elements and the methods possess potential application value in developing the corresponding self-adaptive algorithms.