Four closely related equilibrated flux reconstructions for nonconforming finite elements

Abstract : We consider the Crouzeix--Raviart nonconforming finite element method for the Laplace equation. We present four equilibrated flux reconstructions, by direct prescription or by mixed approximation of local Neumann problems, either relying on the original simplicial mesh only or employing a dual mesh. We show that all these reconstructions coincide provided the underlying system of linear algebraic equations is solved exactly. We finally consider an inexact algebraic solve, adjust the flux reconstructions, and point out the differences.
Document type :
Journal articles
Complete list of metadatas

Cited literature [12 references]  Display  Hide  Download

https://hal.inria.fr/hal-00750777
Contributor : Martin Vohralik <>
Submitted on : Monday, November 12, 2012 - 12:38:57 PM
Last modification on : Friday, November 29, 2019 - 11:18:02 AM
Long-term archiving on: Wednesday, February 13, 2013 - 3:44:46 AM

File

NCFE_flux_rec.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Alexandre Ern, Martin Vohralík. Four closely related equilibrated flux reconstructions for nonconforming finite elements. Comptes Rendus Mathématique, Elsevier Masson, 2013, 351 (1-2), pp.77-80. ⟨10.1016/j.crma.2013.01.001⟩. ⟨hal-00750777⟩

Share

Metrics

Record views

426

Files downloads

392