On the continuity in 𝐵𝑉(Ω) of the 𝐿²-projection into finite element spaces

Cockburn, Bernardo

doi:10.1090/S0025-5718-1991-1094943-9

On the continuity in ${\rm BV}(\Omega)$ of the $L\sp 2$ -projection into finite element spaces

Author: Bernardo Cockburn
Journal: Math. Comp. 57 (1991), 551-561
MSC: Primary 65N30; Secondary 46E99, 47B38, 65M60
DOI: https://doi.org/10.1090/S0025-5718-1991-1094943-9
MathSciNet review: 1094943
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Abstract: We show how to obtain continuity in the ${\text{BV}}(\Omega )$ -seminorm of the ${L^2}$ -projection of $u \in {\text{BV}}(\Omega )$ into a large class of finite element spaces.

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