Publication Results

Code: 53/2016
Title: The fully nonconforming Virtual Element method for biharmonic problems
Date: Wednesday 7th December 2016
Author(s) : Antonietti, P. F.; Manzini, G.; Verani, M.
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Abstract: In this paper 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 arbi- trary 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 numer- ical results to assess the validity of the theoretical estimates.