Unfitted Finite Element Methods (UFEM e.g. CutFEM, XFEM, Finite Cell FEM, CGFEM) have been extensively investigated over the last two decades. The use of computational meshes that do not need to conform to the geometrical features of boundary value problems is highly interesting to practitioners in many fields of computational sciences and engineering. However, UFEM are yet to be adopted as a standard analysis tool. This is due to a number of important theoretical, implementational and numerical challenges, which we wish to address in this special issue.
Edited by: Pierre Kerfriden, Susanne Claus, Dominik Schillinger