The lifting of polynomial traces revisited

Christine Bernardi (1) , Monique Dauge (2) , Yvon Maday (1)

1 LJLL - Laboratoire Jacques-Louis Lions
2 IRMAR - Institut de Recherche Mathématique de Rennes

We construct a lifting operator of polynomial traces on an interval that is stable in appropriate Sobolev norms. Next we extend this result to the case of traces vanishing at the endpoints of the interval. This has two applications, the interpolation of polynomial spaces and the evaluation by discrete formulas of fractional order Sobolev norms on polynomials.

Domaines: Analyse numérique [math.NA]

Christine Bernardi, Monique Dauge, Yvon Maday. The lifting of polynomial traces revisited. Mathematics of Computation, 2010, 79 (269), pp.47-69. ⟨hal-00222954v2⟩