@INCOLLECTION{HeRuWa20, author = {{Heeren}, Behrend and {Rumpf}, Martin and {Wardetzky}, Max and {Wirth}, Benedikt}, title = {Discrete {R}iemannian calculus on shell space}, booktitle = {Geometric Partial Differential Equations - Part I}, publisher = {Elsevier}, year = {2020}, volume = {21}, pages = {621--679}, doi = {10.1016/bs.hna.2019.06.005}, editor = {Ricardo Nochetto and Andrea Bonito}, series = {Handbook of Numerical Analysis}, note = {in press} }