论文标题
具有任意连续性的张量产品有限元元件Cochain复合物
A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity
论文作者
论文摘要
我们开发了张量的产品有限元元素双学科复合物在任意维度的笛卡尔网格上的任意平滑度。第一步是建造基于改良的Hermite插值操作员的一维$ C^M $合并有限的元件Cochain复合物，事实证明，该操作员可以通过一般的换向引理与外部导数通勤。遵守严格的张量产品构建，我们在更高维度中得出有限元络合物。
We develop tensor product finite element cochain complexes of arbitrary smoothness on Cartesian meshes of arbitrary dimension. The first step is the construction of a one-dimensional $C^m$-conforming finite element cochain complex based on a modified Hermite interpolation operator, which is proved to commute with the exterior derivative by means of a general commutation lemma. Adhering to a strict tensor product construction we then derive finite element complexes in higher dimensions.
