Spline discrete differential forms

Back, Aurore, and Sonnendrücker, Eric. Denis Poisson, Fédération, and Trélat, E., eds. " Spline discrete differential forms ." ESAIM: Proceedings 35 (2012): 197-202. <http://eudml.org/doc/251243>.

@article{Back2012,
abstract = {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.},
author = {Back, Aurore, Sonnendrücker, Eric},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {197-202},
publisher = {EDP Sciences},
title = { Spline discrete differential forms },
url = {http://eudml.org/doc/251243},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Back, Aurore
AU - Sonnendrücker, Eric
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Spline discrete differential forms
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 197
EP - 202
AB - 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.
LA - eng
UR - http://eudml.org/doc/251243
ER -