[Calcul des poids pour les formes de Whitney simpliciales de degré polynomial un]
On étudie quelques techniques simples de calcul des coefficients (‘moments’) des p-formes de Whitney de degré un sur les p-simplexes. On montre l'équivalence entre la méthode classique, de type métrique, pour le calcul de ces poids, et une méthode de type affine, mieux adaptée au contexte des formes différentielles.
We investigate some simple techniques of computation of the weights (‘moments’) of simplicial Whitney p-forms of first polynomial degree. The classical metric-dependent computation of weights is shown to be equivalent to an affine one, more suitable in the context of differential forms.
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@article{CRMATH_2005__341_8_519_0,
author = {Rapetti, Francesca},
title = {Weights computation for simplicial {Whitney} forms of degree one},
journal = {Comptes Rendus. Math\'ematique},
pages = {519--523},
publisher = {Elsevier},
volume = {341},
number = {8},
year = {2005},
doi = {10.1016/j.crma.2005.09.005},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2005.09.005/}
}
TY - JOUR AU - Rapetti, Francesca TI - Weights computation for simplicial Whitney forms of degree one JO - Comptes Rendus. Mathématique PY - 2005 SP - 519 EP - 523 VL - 341 IS - 8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2005.09.005/ DO - 10.1016/j.crma.2005.09.005 LA - en ID - CRMATH_2005__341_8_519_0 ER -
%0 Journal Article %A Rapetti, Francesca %T Weights computation for simplicial Whitney forms of degree one %J Comptes Rendus. Mathématique %D 2005 %P 519-523 %V 341 %N 8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2005.09.005/ %R 10.1016/j.crma.2005.09.005 %G en %F CRMATH_2005__341_8_519_0
Rapetti, Francesca. Weights computation for simplicial Whitney forms of degree one. Comptes Rendus. Mathématique, Tome 341 (2005) no. 8, pp. 519-523. doi : 10.1016/j.crma.2005.09.005. http://archive.numdam.org/articles/10.1016/j.crma.2005.09.005/
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