Geodesic
Spline discrete differential forms
Aurore Back1 ; Eric Sonnendrücker1
1 IRMA, CNRS and Université de Strasbourg - INRIA-Nancy-Grand Est, CALVI project-team, , France
ESAIM. Proceedings, Tome 35 (2012), pp. 197-202 Cet article a éte moissonné depuis la source EDP Sciences

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The equations of physics are mathematical models consisting of geometric objects and relationships between then. There are many methods to discretize equations, but few maintain the physical nature of objects that constitute them. To respect the geometrical nature elements of physics, it is necessary to change the point of view and using differential geometry, including the numerical study. We propose to construct discrete differential forms using B-splines and a formulation discrete for different operators acting on differential forms. Finally, we apply this theory on the Maxwell equations.
DOI : 10.1051/proc/201235014

Aurore Back 1 ; Eric Sonnendrücker 1

1 IRMA, CNRS and Université de Strasbourg - INRIA-Nancy-Grand Est, CALVI project-team, , France 
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     author = {Aurore Back and Eric Sonnendr\"ucker},
     title = {Spline discrete differential forms},
     journal = {ESAIM. Proceedings},
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     year = {2012},
     volume = {35},
     doi = {10.1051/proc/201235014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201235014/}
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Aurore Back; Eric Sonnendrücker. Spline discrete differential forms. ESAIM. Proceedings, Tome 35 (2012), pp. 197-202. doi: 10.1051/proc/201235014

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