  Unlike other schemes that locally violate the essential stability properties
of the analytic parabolic and elliptic problems, Voronoi finite volume methods
(FVM) and boundary conforming Delaunay meshes provide good approximation of the
geometry of a problem and are able to preserve the essential qualitative
properties of the solution for any given resolution in space and time as well
as changes in time scales of multiple orders of magnitude. This work provides a
brief description of the essential and useful properties of the Voronoi FVM,
application examples, and a motivation why Voronoi FVM deserve to be used more
often in practice than they are currently.
