Unified analysis of discontinuous Galerkin methods for elliptic problems

Douglas N. Arnold; Franco Brezzi; Bernardo Cockburn; L. Donatella Marini

doi:10.1137/S0036142901384162

Unified analysis of discontinuous Galerkin methods for elliptic problems

Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, L. Donatella Marini

School of Mathematics

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

2557 Scopus citations

Abstract

We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.

Original language	English (US)
Pages (from-to)	1749-1779
Number of pages	31
Journal	SIAM Journal on Numerical Analysis
Volume	39
Issue number	5
DOIs	https://doi.org/10.1137/S0036142901384162
State	Published - 2001

Keywords

Discontinuous Galerkin
Elliptic problems
Interior penalty

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10.1137/S0036142901384162

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title = "Unified analysis of discontinuous Galerkin methods for elliptic problems",

abstract = "We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.",

keywords = "Discontinuous Galerkin, Elliptic problems, Interior penalty",

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year = "2001",

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T1 - Unified analysis of discontinuous Galerkin methods for elliptic problems

AU - Arnold, Douglas N.

AU - Brezzi, Franco

AU - Cockburn, Bernardo

AU - Donatella Marini, L.

PY - 2001

Y1 - 2001

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KW - Discontinuous Galerkin

KW - Elliptic problems

KW - Interior penalty

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ER -

Unified analysis of discontinuous Galerkin methods for elliptic problems

Abstract

Keywords

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