In this paper, the first family of conforming finite element divdiv complexes on cuboid grids in three dimensions is constructed. Besides, a new family of conforming finite element divdiv complexes with enhanced smoothness on tetrahedral grids is presented. These complexes are exact in the sense that the range of each discrete map is the kernel space of the succeeding one.
翻译:在本文中,在幼崽网格的三个维度中,构建了符合一定的分流元素群的第一个组。此外,还展示了符合一定的分流元素群的新组,四面网格的光滑度更高。这些复杂点的准确性是,每张离散地图的射程是下一幅的内核空间。