Title :

Generalised gradients for virtual elements and applications to a posteriori error analysis

Author(s) :

Chaumont-Frelet, Théophile [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Gedicke, Joscha [Auteur]
Universität Bonn = University of Bonn
Mascotto, Lorenzo [Auteur]
Università degli Studi di Milano-Bicocca = University of Milano-Bicocca [UNIMIB]

Publication date :

2024-08-06

English keyword(s) :

daptivity
polygonal mesh
flux reconstruction
potential reconstruction
virtual element method
generalised gradient

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

We rewrite the standard nodal virtual element method as a generalised gradient method. This re-formulation allows for computing a reliable and efficient error estimator by locally reconstructing broken fluxes and potentials. ...
Show more >We rewrite the standard nodal virtual element method as a generalised gradient method. This re-formulation allows for computing a reliable and efficient error estimator by locally reconstructing broken fluxes and potentials. We prove the usual upper and lower bounds with constants independent of the stabilisation of the method and, under technical assumptions on the mesh, the degree of accuracy.Show less >

Language :

Anglais

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL