  Discrete exterior calculus (DEC) is a structure-preserving numerical
framework for partial differential equations solution, particularly suitable
for simplicial meshes. A longstanding and widespread assumption has been that
DEC requires special (Delaunay) triangulations, which complicated the mesh
generation process especially on curved surfaces. This paper presents numerical
evidences demonstrating that this restriction is unnecessary. Convergence
experiments are carried out for various physical problems using both Delaunay
and non-Delaunay triangulations. Signed diagonal definition for the key DEC
operator (Hodge star) is adopted. The errors converge as expected for all
considered meshes and experiments. This relieves the DEC paradigm from
unnecessary triangulation limitation.
