09:15
Zuiderduinzaal: Keynote: Francesca Rapetti, Laboratoire de Mathematiques Dieudonne, France
09:15
45 mins
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High order Whitney forms on simplices and the question of potentials
Francesca Rapetti, Ana Alonso Rodriguez
Abstract: In the frame of high order finite element approximations of PDEs, we are interested in an explicit and efficient way for constructing finite element functions with assigned
gradient, curl or divergence in domains with general topology.
Three ingredients, that bear the name of their scientific fathers, are involved: the de Rham's diagram and theorem,
Hodge's decomposition for vectors,
Whitney's differential forms. Some key images
are presented in order to illustrate the mathematical concepts.
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