论文标题
H1构成有限元组合络合物和载笛子网上的准上插入式操作员
H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes
论文作者
论文摘要
引入了基于H1-Inner产品的任何维度的笛卡尔网格上的有限元组合。它在H1中产生具有外部导数的有限元空间。我们使用张量产品的构造来将L2稳定的投影仪用于这些空间，这些空间与外部导数通勤。有限元复合物已概括为一个任意秩序的家族。
A finite element cochain complex on Cartesian meshes of any dimension based on the H1-inner product is introduced. It yields H1-conforming finite element spaces with exterior derivatives in H1. We use a tensor product construction to obtain L2-stable projectors into these spaces which commute with the exterior derivative. The finite element complex is generalized to a family of arbitrary order.
