Generalized finite difference schemes with higher order Whitney forms Lauri Kettunen, Jonni Lohi, Jukka Räbinä, Sanna Mönkölä and Tuomo Rossi ESAIM: M2AN, 55 4 (2021) 1439-1460 Published online: 13 July 2021 DOI: 10.1051/m2an/2021026