%0 Journal Article %A Houston, Paul %A Roggendorf, Sarah %A van der Zee, Kristoffer G. %T Gibbs phenomena for $L^q$-best approximation in finite element spaces %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2022 %P 177-211 %V 56 %N 1 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/m2an/2021086/ %R 10.1051/m2an/2021086 %G en %F M2AN_2022__56_1_177_0