SPLINE DISCRETE DIFFERENTIAL FORMS AND A NEW FINITE DIFFERENCE DISCRETE HODGE OPERATOR - Inria - Institut national de recherche en sciences et technologies du numérique
Preprints, Working Papers, ... Year : 2014

SPLINE DISCRETE DIFFERENTIAL FORMS AND A NEW FINITE DIFFERENCE DISCRETE HODGE OPERATOR

Abstract

We construct a new set of discrete differential forms based on B-splines of arbitrary degree as well as an associated Hodge operator. The theory is first developed in 1D and then extended to multi-dimension using tensor products. We link our discrete differential forms with the theory of chains and cochains. The spline discrete differential forms are then applied to the numerical solution of Maxwell's equations.
Fichier principal
Vignette du fichier
sddf_soumis.pdf (1.71 Mo) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-00822164 , version 1 (18-06-2013)
hal-00822164 , version 2 (13-11-2014)

Identifiers

  • HAL Id : hal-00822164 , version 2

Cite

Aurore Back, Eric Sonnendrücker. SPLINE DISCRETE DIFFERENTIAL FORMS AND A NEW FINITE DIFFERENCE DISCRETE HODGE OPERATOR. 2014. ⟨hal-00822164v2⟩
466 View
270 Download

Share

More