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

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

37 Citations (Scopus)

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).

Original language	English
Pages (from-to)	1013-1016
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	346
Issue number	17-18
DOIs	https://doi.org/10.1016/j.crma.2008.07.005
Publication status	Published - 1 Sept 2008

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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).",

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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).

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Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian

Abstract

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