Cartesian网格上的H1-conforming有限元上链复形与交换拟插值算子
H1-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes
摘要：
基于H 1-内积，给出了任意维笛卡尔网格上的有限元上链复形。给出了外导数在H1中的H1-协调有限元空间。我们使用一个张量积的建设，以获得L2-稳定的投影到这些空间的交换与外导数。将有限元复形推广到任意阶的一族。
英文摘要：
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.
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