The Fully Nonconforming Virtual Element Method for Biharmonic problems (Marco Verani, Politecnico di Milano)

11.04.2017 14:15

In this talk we address the numerical approximation of linear fourth-order elliptic problems on polygonal meshes. In particular, we present a novel nonconforming virtual element discretization of arbitrary order of accuracy for biharmonic problems. The approximation space is made of possibly discontinuous functions, thus giving rise to the "fully nonconforming" virtual element method. We derive optimal error estimates in a suitable (broken) energy norm and present numerical results to assess the validity of the theoretical estimates.

This is a joint work with P.F Antonietti and G. Manzini.

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salle 623, Séminaire d'analyse numérique

entrée libre