Seminari/Colloquia

Pagina 28 di 28

DataTipoInizioFine RoomSpeakerProvenienzaTitolo
09/01/24 Seminario 14:00 15:00 1201 Ludovico Bruni Bruno Università di Padova Interpolation by weights: insights and challenges

Interpolation of differential forms is a challenging aspect of modern approximation theory. Not only does it shed new light on some classical concepts of interpolation theory, such as the Lagrange interpolation and the Lebesgue constant, but it also suggests that they can be extended to a very general framework. As an extent of that, it is worth pointing out that the majority of classical shape functions commonly used in finite element methods, such as those involved in Nedelec or Raviart-Thomas elements, can be seen as a specialisation of this theory. Of course, this generality brings along the evident downside of an unfriendly level of abstraction. The scope of this series of two seminars is thus twofold: presenting the main challenges of this branch of approximation theory but in a concrete manner. The first seminar will hinge on a development of a convenient one dimensional toy model that enlightens parallelisms and differences with usual nodal interpolation. In the second seminar will extend these techniques to the multi-dimensional framework, motivating our choices by a geometrical flavour. This talk is part of the activity of the MUR Excellence Department Project MatMod@TOV (CUP E83C23000330006).

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