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 $\textrm {BV}(\Omega )$ of the $L^ 2$-projection into finite element spaces
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Math. Comp. 57 (1991), 551-561 Request permission

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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