Hybrid High-Order methods for variable diffusion problems on general meshes

Daniele Antonio Di Pietro; Alexandre Ern

doi:10.1016/j.crma.2014.10.013

Back

Hybrid High-Order methods for variable diffusion problems on general meshes

Journal article

Open access

Peer reviewed

Hybrid High-Order methods for variable diffusion problems on general meshes

Daniele Antonio Di Pietro and Alexandre Ern

Comptes Rendus. Mathématique, Vol.353, pp.31--34

11/07/2014

DOI: https://doi.org/10.1016/j.crma.2014.10.013

Abstract

variable diffusion

hybrid high-order methods

general meshes

65N30, 65N08, 76D06

We extend the Hybrid High-Order method introduced by the authors for the Poisson problem to problems with heterogeneous/anisotropic diffusion. The cornerstone is a local discrete gradient reconstruction from element- and face-based polynomial degrees of freedom. Optimal error estimates are proved.

Files and links (1)

url

Find in HALView

Metrics

1 Record Views

Details

Title: Hybrid High-Order methods for variable diffusion problems on general meshes
Creators - without role: Daniele Antonio Di Pietro - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Alexandre Ern - CERMICS
Publication Details: Comptes Rendus. Mathématique, Vol.353, pp.31--34
Identifiers: 9941425509311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-01023302