Discrete differential forms for computational modeling

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Technical Section: Discrete Laplace-Beltrami operators for shape analysis and segmentation (2009, background): “Founding on discrete exterior calculus, [ 15 , 34] reach the same operator.”
Edge Functions for Spectral Element Methods (2011, background): “/ correspond to higher order Whitney forms, see [3,6,19].”
Geodesics in heat: A new approach to computing distance based on heat flow (2012, methodology): “, tetrahedral meshes) using well-established discrete operators; see for instance [Desbrun et al. 2008].”
Voronoi-based variational reconstruction of unoriented point sets (2007, positive): “Although various expressions of the anisotropic Dirichlet energy have been proposed in 2D in the context of quasiharmonic parameterizations [Gus02,ZRS05], we construct our 3D energies via matrix assembly using the language of discrete forms [ DKT06 ].”
Structure-preserving discretization of incompressible fluids (2009, methodology): “As our derivation relies on having a predefined notion of discrete vorticity, we first provide a definition used in [7,17] (we will refer to it as the DEC vorticity, as it was derived from a Discrete Exterior Calculus [13]):”