Local L 2-bounded commuting projections in FEEC

Douglas Arnold; Johnny Guzmán

doi:10.1051/m2an/2021054

Local L ²-bounded commuting projections in FEEC

Douglas Arnold, Johnny Guzmán

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We construct local projections into canonical finite element spaces that appear in the finite element exterior calculus. These projections are bounded in L2 and commute with the exterior derivative.

Original language	English (US)
Pages (from-to)	2169-2184
Number of pages	16
Journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume	55
Issue number	5
DOIs	https://doi.org/10.1051/m2an/2021054
State	Published - Sep 1 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 The authors. Published by EDP Sciences, SMAI.

Keywords

Cochain projection
Commuting projection
Finite element exterior calculus

Publisher link

10.1051/m2an/2021054

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Cite this

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title = "Local L 2-bounded commuting projections in FEEC",

abstract = "We construct local projections into canonical finite element spaces that appear in the finite element exterior calculus. These projections are bounded in L2 and commute with the exterior derivative.",

keywords = "Cochain projection, Commuting projection, Finite element exterior calculus",

author = "Douglas Arnold and Johnny Guzm{\'a}n",

note = "Publisher Copyright: {\textcopyright} 2021 The authors. Published by EDP Sciences, SMAI.",

year = "2021",

month = sep,

day = "1",

doi = "10.1051/m2an/2021054",

language = "English (US)",

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AU - Guzmán, Johnny

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AB - We construct local projections into canonical finite element spaces that appear in the finite element exterior calculus. These projections are bounded in L2 and commute with the exterior derivative.

KW - Cochain projection

KW - Commuting projection

KW - Finite element exterior calculus

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JO - ESAIM: Mathematical Modelling and Numerical Analysis

JF - ESAIM: Mathematical Modelling and Numerical Analysis

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