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On the equivalence of the norms of the discrete differential forms in discrete exterior calculus

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Publication:1736455
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DOI10.1007/s13160-018-0334-8zbMath1410.65419OpenAlexW2900758532MaRDI QIDQ1736455

Xianqiang Yang

Publication date: 26 March 2019

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-018-0334-8


zbMATH Keywords

Delaunay triangulationequivalence of normsdiscrete exterior calculusWhitney form


Mathematics Subject Classification ID

Finite difference methods for boundary value problems involving PDEs (65N06)


Related Items

Equivalence of DEC and box methods for the diffusion-advection-reaction equation


Uses Software

  • PyDEC


Cites Work

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  • Discrete Poincaré lemma
  • Delaunay Mesh Generation
  • PyDEC
  • On finite element integration in natural co-ordinates
  • Finite elements in computational electromagnetism
  • Finite element exterior calculus, homological techniques, and applications
  • Finite-Difference Approach to the Hodge Theory of Harmonic Forms
  • The Error in Linear Interpolation at the Vertices of a Simplex
  • The Mathematical Theory of Finite Element Methods
  • Computational Electromagnetics
  • Discrete Hodge operators
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