An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems

E. H. Georgoulis; P. Houston; J. Virtanen

doi:10.1093/imanum/drp023

An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drp023 ◽

2009 ◽

Vol 31 (1) ◽

pp. 281-298 ◽

Cited By ~ 28

Author(s):

E. H. Georgoulis ◽

P. Houston ◽

J. Virtanen

Keyword(s):

Discontinuous Galerkin ◽

Fourth Order ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Error Indicator ◽

Galerkin Approximations

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Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20386 ◽

2009 ◽

Vol 25 (4) ◽

pp. 952-971 ◽

Cited By ~ 20

Author(s):

Raytcho Lazarov ◽

Sergey Repin ◽

Satyendra K. Tomar

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations

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A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-009-9286-0 ◽

2009 ◽

Vol 40 (1-3) ◽

pp. 340-359 ◽

Cited By ~ 17

Author(s):

Carlo Lovadina ◽

L. Donatella Marini

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

Galerkin Approximations ◽

Second Order Elliptic Problems

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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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Local problem-based a posteriori error estimators for discontinuous Galerkin approximations of reactive transport

Computational Geosciences ◽

10.1007/s10596-007-9041-2 ◽

2007 ◽

Vol 11 (2) ◽

pp. 87-101 ◽

Cited By ~ 14

Author(s):

Shuyu Sun ◽

Mary F. Wheeler

Keyword(s):

Discontinuous Galerkin ◽

Reactive Transport ◽

Posteriori Error ◽

Local Problem ◽

A Posteriori ◽

A Posteriori Error Estimators ◽

A Posteriori Error ◽

Error Estimators ◽

Galerkin Approximations ◽

Posteriori Error Estimators

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On the Advantages and Drawbacks of A Posteriori Error Estimation for Fourth-Order Elliptic Problems

Computational Methods in Applied Sciences - Numerical Methods for Differential Equations, Optimization, and Technological Problems ◽

10.1007/978-94-007-5288-7_8 ◽

2013 ◽

pp. 145-158

Author(s):

Karel Segeth

Keyword(s):

Error Estimation ◽

Fourth Order ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A Posteriori Error Estimation for Adaptive Discontinuous Galerkin Approximations of Hyperbolic Systems

Lecture Notes in Computational Science and Engineering - Discontinuous Galerkin Methods ◽

10.1007/978-3-642-59721-3_34 ◽

2000 ◽

pp. 363-368 ◽

Cited By ~ 16

Author(s):

Mats G. Larson ◽

Timothy J. Barth

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Hyperbolic Systems ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Galerkin Approximations

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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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A posteriori error estimation and dynamic adaptivity for symmetric discontinuous Galerkin approximations of reactive transport problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2005.02.021 ◽

2006 ◽

Vol 195 (7-8) ◽

pp. 632-652 ◽

Cited By ~ 28

Author(s):

Shuyu Sun ◽

Mary F. Wheeler

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Reactive Transport ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Galerkin Approximations ◽

Transport Problems

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A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902405217 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2374-2399 ◽

Cited By ~ 200

Author(s):

Ohannes A. Karakashian ◽

Frederic Pascal

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

A Posteriori Error Estimates ◽

Galerkin Approximation ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

A Posteriori ◽

A Posteriori Error ◽

Second Order Elliptic Problems

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Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/110846397 ◽

2012 ◽

Vol 50 (5) ◽

pp. 2159-2181 ◽

Cited By ~ 8

Author(s):

Alan Demlow ◽

Emmanuil H. Georgoulis

Keyword(s):

Discontinuous Galerkin ◽

Error Control ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error

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