Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems

Alexandre Ern; Annette F. Stephansen; Martin Vohralík

doi:10.1016/j.cam.2009.12.009

Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.12.009 ◽

2010 ◽

Vol 234 (1) ◽

pp. 114-130 ◽

Cited By ~ 63

Author(s):

Alexandre Ern ◽

Annette F. Stephansen ◽

Martin Vohralík

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion

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A Posteriori Error Estimates for Unsteady Convection–Diffusion–Reaction Problems and the Finite Volume Method

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_23 ◽

2011 ◽

pp. 215-223

Author(s):

Nancy Chalhoub ◽

Alexandre Ern ◽

Tony Sayah ◽

Martin Vohralı́k

Keyword(s):

Finite Volume Method ◽

Error Estimates ◽

Finite Volume ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Reaction ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Volume Method

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A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system

Numerical Algorithms ◽

10.1007/s11075-021-01152-3 ◽

2021 ◽

Author(s):

Nancy Chalhoub ◽

Pascal Omnes ◽

Toni Sayah ◽

Rebecca El Zahlaniyeh

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Time Dependent ◽

Diffusion Reaction ◽

A Posteriori ◽

Reaction Equation ◽

A Posteriori Error ◽

Convection Diffusion

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A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love buckling problem

Computational Mechanics ◽

10.1007/s00466-015-1204-8 ◽

2015 ◽

Vol 56 (5) ◽

pp. 815-827 ◽

Cited By ~ 3

Author(s):

Peter Hansbo ◽

Mats G. Larson

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations

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A posteriori error estimates for non-stationary non-linear convection–diffusion equations

CALCOLO ◽

10.1007/s10092-018-0263-6 ◽

2018 ◽

Vol 55 (2) ◽

Cited By ~ 1

Author(s):

R. Verfürth

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Non Linear

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Robust A Posteriori Error Estimates for Stationary Convection-Diffusion Equations

SIAM Journal on Numerical Analysis ◽

10.1137/040604261 ◽

2005 ◽

Vol 43 (4) ◽

pp. 1766-1782 ◽

Cited By ~ 82

Author(s):

R. Verfürth

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Diffusion Equations ◽

A Posteriori ◽

Stationary Convection ◽

A Posteriori Error ◽

Convection Diffusion

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A posteriori error estimates for nonconforming streamline-diffusion finite element methods for convection-diffusion problems

CALCOLO ◽

10.1007/s10092-014-0122-z ◽

2014 ◽

Vol 52 (4) ◽

pp. 407-424 ◽

Cited By ~ 2

Author(s):

Jikun Zhao ◽

Shaochun Chen ◽

Bei Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Streamline Diffusion ◽

Diffusion Problems

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A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation

Mathematics of Computation ◽

10.1090/s0025-5718-2014-02878-0 ◽

2014 ◽

Vol 84 (293) ◽

pp. 1145-1167 ◽

Cited By ~ 6

Author(s):

Ohannes Karakashian ◽

Charalambos Makridakis

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error ◽

De Vries

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A posteriori error estimates and adaptivity for the discontinuous Galerkin solutions of nonlinear second-order initial-value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.06.001 ◽

2017 ◽

Vol 121 ◽

pp. 18-37 ◽

Cited By ~ 1

Author(s):

Mahboub Baccouch

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Initial Value Problems ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

Initial Value ◽

A Posteriori Error

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A Posteriori Error Estimates for Local C0 Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

Journal of Computational Mathematics ◽

10.4208/jcm.1405-m4409 ◽

2014 ◽

Vol 32 (6) ◽

pp. 665-686 ◽

Cited By ~ 2

Author(s):

Yifeng Xu

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Plate Bending ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error ◽

Bending Problems

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A posteriori error estimates for continuous/discontinuous Galerkin approximations of the Kirchhoff–Love plate

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2011.07.007 ◽

2011 ◽

Vol 200 (47-48) ◽

pp. 3289-3295 ◽

Cited By ~ 12

Author(s):

Peter Hansbo ◽

Mats G. Larson

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations

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