论文标题
三个有限元元素的家庭
Three families of grad-div-conforming finite elements
论文作者
论文摘要
在三维空间中构建了几种平滑的有限元元素复合物，该空间产生了三个阶层的有限元元素。最简单的元素对于四面体只有8度的自由度（DOF），而Cuboid只有14个DOF。这些元素自然会导致构成四局问题的近似值。每个家族的数值实验验证了解决四边形问题的元素的正确性和效率。
Several smooth finite element de Rham complexes are constructed in three-dimensional space, which yield three families of grad-div conforming finite elements. The simplest element has only 8 degrees of freedom (DOFs) for a tetrahedron and 14 DOFs for a cuboid. These elements naturally lead to conforming approximations to quad-div problems. Numerical experiments for each family validate the correctness and efficiency of the elements for solving the quad-div problem.
