An accurate H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

Alexandre Ern; Serge Nicaise; Martin Vohralík

doi:10.1016/j.crma.2007.10.036

An accurate H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

Alexandre Ern
, Serge Nicaise
, Martin Vohralík

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a new H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. The reconstructed flux is computed elementwise and its divergence equals the L²-orthogonal projection of the source term onto the discrete space. Moreover, the energy-norm of the error in the flux is bounded by the discrete energy-norm of the error in the primal variable, independently of diffusion heterogeneities. To cite this article: A. Ern et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

Original language	English
Pages (from-to)	709-712
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	345
Issue number	12
DOIs	https://doi.org/10.1016/j.crma.2007.10.036
Publication status	Published - 15 Dec 2007

Access to Document

10.1016/j.crma.2007.10.036

Cite this

@article{a21404a066ef4048aa7b47f5be7124d5,

title = "An accurate H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems",

abstract = "We introduce a new H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. The reconstructed flux is computed elementwise and its divergence equals the L2-orthogonal projection of the source term onto the discrete space. Moreover, the energy-norm of the error in the flux is bounded by the discrete energy-norm of the error in the primal variable, independently of diffusion heterogeneities. To cite this article: A. Ern et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).",

author = "Alexandre Ern and Serge Nicaise and Martin Vohral{\'i}k",

year = "2007",

month = dec,

day = "15",

doi = "10.1016/j.crma.2007.10.036",

language = "English",

volume = "345",

pages = "709--712",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

number = "12",

}

TY - JOUR

T1 - An accurate H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

AU - Ern, Alexandre

AU - Nicaise, Serge

AU - Vohralík, Martin

PY - 2007/12/15

Y1 - 2007/12/15

N2 - We introduce a new H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. The reconstructed flux is computed elementwise and its divergence equals the L2-orthogonal projection of the source term onto the discrete space. Moreover, the energy-norm of the error in the flux is bounded by the discrete energy-norm of the error in the primal variable, independently of diffusion heterogeneities. To cite this article: A. Ern et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

AB - We introduce a new H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems. The reconstructed flux is computed elementwise and its divergence equals the L2-orthogonal projection of the source term onto the discrete space. Moreover, the energy-norm of the error in the flux is bounded by the discrete energy-norm of the error in the primal variable, independently of diffusion heterogeneities. To cite this article: A. Ern et al., C. R. Acad. Sci. Paris, Ser. I 345 (2007).

UR - https://www.scopus.com/pages/publications/36749011235

U2 - 10.1016/j.crma.2007.10.036

DO - 10.1016/j.crma.2007.10.036

M3 - Article

AN - SCOPUS:36749011235

SN - 1631-073X

VL - 345

SP - 709

EP - 712

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 12

ER -

An accurate H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

Abstract

Access to Document

Other files and links

Fingerprint

Cite this