[Formula: see text] -conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes

A finite element cochain complex on Cartesian meshes of any dimension based on the [Formula: see text] -inner product is introduced. It yields [Formula: see text] -conforming finite element spaces with exterior derivatives in [Formula: see text] . We use a tensor product construction to obtain [Form...

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Detalles Bibliográficos
Autores principales: Bonizzoni, Francesca, Kanschat, Guido
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8591684/
https://www.ncbi.nlm.nih.gov/pubmed/34803174
http://dx.doi.org/10.1007/s10092-021-00409-6
Descripción
Sumario:A finite element cochain complex on Cartesian meshes of any dimension based on the [Formula: see text] -inner product is introduced. It yields [Formula: see text] -conforming finite element spaces with exterior derivatives in [Formula: see text] . We use a tensor product construction to obtain [Formula: see text] -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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