Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

Erik Burman; Alexandre Ern

doi:10.1016/j.crma.2008.07.005

Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

Erik Burman
, Alexandre Ern

University of Sussex

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

37 Citations (Scopus)

Résumé

A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is endowed with a discrete variational principle. The convergence of the discrete approximations to the exact solution is proven. To cite this article: E. Burman, A. Ern, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

langue originale	Anglais
Pages (de - à)	1013-1016
Nombre de pages	4
journal	Comptes Rendus Mathematique
Volume	346
Numéro de publication	17-18
Les DOIs	https://doi.org/10.1016/j.crma.2008.07.005
état	Publié - 1 sept. 2008

Accès au document

10.1016/j.crma.2008.07.005

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{0be1cdc236ee42f0988ff6db94261f43,

title = "Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian",

abstract = "A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is endowed with a discrete variational principle. The convergence of the discrete approximations to the exact solution is proven. To cite this article: E. Burman, A. Ern, C. R. Acad. Sci. Paris, Ser. I 346 (2008).",

author = "Erik Burman and Alexandre Ern",

year = "2008",

month = sep,

day = "1",

doi = "10.1016/j.crma.2008.07.005",

language = "English",

volume = "346",

pages = "1013--1016",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "17-18",

}

TY - JOUR

T1 - Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

AU - Burman, Erik

AU - Ern, Alexandre

PY - 2008/9/1

Y1 - 2008/9/1

N2 - A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is endowed with a discrete variational principle. The convergence of the discrete approximations to the exact solution is proven. To cite this article: E. Burman, A. Ern, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

AB - A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is endowed with a discrete variational principle. The convergence of the discrete approximations to the exact solution is proven. To cite this article: E. Burman, A. Ern, C. R. Acad. Sci. Paris, Ser. I 346 (2008).

UR - https://www.scopus.com/pages/publications/52049120566

U2 - 10.1016/j.crma.2008.07.005

DO - 10.1016/j.crma.2008.07.005

M3 - Article

AN - SCOPUS:52049120566

SN - 1631-073X

VL - 346

SP - 1013

EP - 1016

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 17-18

ER -

Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation