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
@article{M2AN_2021__55_5_2169_0,
author = {Arnold, Douglas and Guzm\'an, Johnny},
title = {Local $L^2$-bounded commuting projections in {FEEC}},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {2169--2184},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {5},
doi = {10.1051/m2an/2021054},
mrnumber = {4323408},
zbl = {1483.65175},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an/2021054/}
}
TY - JOUR AU - Arnold, Douglas AU - Guzmán, Johnny TI - Local $L^2$-bounded commuting projections in FEEC JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2021 SP - 2169 EP - 2184 VL - 55 IS - 5 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/m2an/2021054/ DO - 10.1051/m2an/2021054 LA - en ID - M2AN_2021__55_5_2169_0 ER -
%0 Journal Article %A Arnold, Douglas %A Guzmán, Johnny %T Local $L^2$-bounded commuting projections in FEEC %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2021 %P 2169-2184 %V 55 %N 5 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/m2an/2021054/ %R 10.1051/m2an/2021054 %G en %F M2AN_2021__55_5_2169_0
Arnold, Douglas; Guzmán, Johnny. Local $L^2$-bounded commuting projections in FEEC. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 55 (2021) no. 5, pp. 2169-2184. doi: 10.1051/m2an/2021054
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