Anisotropy in 2D Discrete Exterior Calculus

28 Dec 2018 Esqueda Humberto Herrera Rafael Botello Salvador Valero Carlos

We present a local formulation for 2D Discrete Exterior Calculus (DEC) similar to that of the Finite Element Method (FEM), which allows a natural treatment of material heterogeneity (element by element). It also allows us to deduce, in a robust manner, anisotropic fluxes and the DEC discretization of the pullback of 1-forms by the anisotropy tensor, i.e. we deduce how the anisotropy tensor acts on primal 1-forms... (read more)

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Categories


  • NUMERICAL ANALYSIS
  • DIFFERENTIAL GEOMETRY