Abstract
AbstractA finite element cochain complex on Cartesian meshes of any dimension based on the $$H^1$$
H
1
-inner product is introduced. It yields $$H^1$$
H
1
-conforming finite element spaces with exterior derivatives in $$H^1$$
H
1
. We use a tensor product construction to obtain $$L^2$$
L
2
-stable projectors into these spaces which commute with the exterior derivative. The finite element complex is generalized to a family of arbitrary order.
Funder
Austrian Science Fund
Deutsche Forschungsgemeinschaft
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,Algebra and Number Theory
Cited by
3 articles.
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