The nonconforming virtual element method with curved edges

Lourenco Beirao da Veiga, Yi Liu, Lorenzo Mascotto, Alessandro Russo

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

We introduce a nonconforming virtual element method for the Poisson problem on domains with fixed curved boundary and internal interfaces. We prove arbitrary order optimal convergence in the energy and L 2 norms, and assess the theoretical results with numerical experiments. The proposed scheme has the upside that it can be designed and analyzed in any dimension.

OriginalspracheEnglisch
Aufsatznummer23
FachzeitschriftJournal of Scientific Computing
Jahrgang99
Ausgabenummer1
DOIs
PublikationsstatusVeröffentlicht - Apr. 2024

ÖFOS 2012

  • 101014 Numerische Mathematik

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