A posteriori error estimation for a new stabilized discontinuous Galerkin method

A. Romkes; S. Prudhomme; J. T. Oden

doi:10.1016/S0893-9659(03)00018-1

A posteriori error estimation for a new stabilized discontinuous Galerkin method

A. Romkes^*, S. Prudhomme, J. T. Oden

^*Corresponding author for this work

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

8 Scopus citations

Abstract

A posteriori error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [1]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. One- and two-dimensional numerical experiments are shown for a reaction-diffusion type model problem.

Original language	English (US)
Pages (from-to)	447-452
Number of pages	6
Journal	Applied Mathematics Letters
Volume	16
Issue number	4
DOIs	https://doi.org/10.1016/S0893-9659(03)00018-1
State	Published - May 2003
Externally published	Yes

Keywords

Discontinuous Galerkin method
Global error estimates
Residual method

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0893-9659(03)00018-1

Cite this

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abstract = "A posteriori error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [1]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. One- and two-dimensional numerical experiments are shown for a reaction-diffusion type model problem.",

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T1 - A posteriori error estimation for a new stabilized discontinuous Galerkin method

AU - Romkes, A.

AU - Prudhomme, S.

AU - Oden, J. T.

PY - 2003/5

Y1 - 2003/5

N2 - A posteriori error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [1]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. One- and two-dimensional numerical experiments are shown for a reaction-diffusion type model problem.

AB - A posteriori error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [1]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. One- and two-dimensional numerical experiments are shown for a reaction-diffusion type model problem.

KW - Discontinuous Galerkin method

KW - Global error estimates

KW - Residual method

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U2 - 10.1016/S0893-9659(03)00018-1

DO - 10.1016/S0893-9659(03)00018-1

M3 - Article

AN - SCOPUS:0038717040

SN - 0893-9659

VL - 16

SP - 447

EP - 452

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 4

ER -

A posteriori error estimation for a new stabilized discontinuous Galerkin method

Abstract

Keywords

ASJC Scopus subject areas

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