Local L 2-bounded commuting projections in FEEC

Douglas Arnold, Johnny Guzmán

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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 languageEnglish (US)
Pages (from-to)2169-2184
Number of pages16
JournalESAIM: Mathematical Modelling and Numerical Analysis
Issue number5
StatePublished - Sep 1 2021
Externally publishedYes

Bibliographical note

Funding Information:
Acknowledgements. The work of the first author was supported by Simons Foundation grant 601937, DNA. The second author was partially supported by NSF grant DMS-1913083.

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


  • Cochain projection
  • Commuting projection
  • Finite element exterior calculus


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