The stability in 𝐿_{𝑝} and 𝑊¹_{𝑝} of the 𝐿₂-projection onto finite element function spaces

Crouzeix, M.; Thomée, V.

doi:10.1090/S0025-5718-1987-0878688-2

The stability in $L\sb p$ and $W\sp 1\sb p$ of the $L\sb 2$ -projection onto finite element function spaces

Authors: M. Crouzeix and V. Thomée
Journal: Math. Comp. 48 (1987), 521-532
MSC: Primary 41A15; Secondary 41A35, 65N10, 65N30
DOI: https://doi.org/10.1090/S0025-5718-1987-0878688-2
MathSciNet review: 878688
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Abstract: The stability of the ${L_2}$ -projection onto some standard finite element spaces ${V_h}$ , considered as a map in ${L_p}$ and , $1 \leqslant p \leqslant \infty$ , is shown under weaker regularity requirements than quasi-uniformity of the triangulations underlying the definitions of the ${V_h}$ .

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