Titel
A posteriori error estimation and adaptivity in hp virtual elements
Autor*in
L. Beirão da Veiga
Dip. di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca
G. Manzini
Group T-5, Theoretical Division, Los Alamos National Laboratory
Abstract
An explicit and computable error estimator for the hp version of the virtual element method (VEM), together with lower and upper bounds with respect to the exact energy error, is presented. Such error estimator is employed to provide, following the approach of Melenk and Wohlmuth (Adv Comput Math 15(1–4):311–331, 2001), hp adaptive mesh refinements for very general polygonal meshes. In addition, a novel VEM hp Clément quasi-interpolant, instrumental for the a posteriori error analysis, is introduced. The performances of the adaptive method are validated by a number of numerical experiments.
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
Erschienen in
Titel
Numerische Mathematik
Band
143
Ausgabe
1
Seitenanfang
139
Seitenende
175
Publication
Springer Science and Business Media LLC
Erscheinungsdatum
2019
Zugänglichkeit
Rechte
Rechteangabe
© The Author(s) 2019
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