Two Efficient and Reliable a posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Linear Elliptic Problems on Cartesian Grids

Journal of Scientific Computing ◽

10.1007/s10915-021-01497-w ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

A Posteriori ◽

A Posteriori Error ◽

Local Discontinuous Galerkin

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A posteriori error estimates for discontinuous Galerkin method to the elasticity problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22261 ◽

2018 ◽

Vol 34 (4) ◽

pp. 1348-1369 ◽

Author(s):

Thi Hong Cam Luong ◽

Christian Daveau

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Elasticity Problem ◽

A Posteriori ◽

A Posteriori Error

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A Posteriori Error Estimates of Discontinuous Galerkin Method for Nonmonotone Quasi-linear Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-012-9651-2 ◽

2012 ◽

Vol 55 (3) ◽

pp. 659-687 ◽

Author(s):

Chunjia Bi ◽

Victor Ginting

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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Guaranteed A Posteriori Error Estimates for a Staggered Discontinuous Galerkin Method

Journal of Scientific Computing ◽

10.1007/s10915-017-0575-8 ◽

2017 ◽

Vol 75 (2) ◽

pp. 1079-1101 ◽

Author(s):

Eric T. Chung ◽

Eun-Jae Park ◽

Lina Zhao

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Staggered Discontinuous Galerkin Method

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A Posteriori error estimates for a discontinuous galerkin method applied to elliptic problems. Log number: R74

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(03)90086-1 ◽

2003 ◽

Vol 46 (1) ◽

pp. 141-163 ◽

Author(s):

B. Rivière ◽

M.F. Wheeler

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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Goal oriented a posteriori error estimates for the discontinuous Galerkin method

Programs and Algorithms of Numerical Mathematics 18 ◽

10.21136/panm.2016.02 ◽

2017 ◽

Author(s):

Vít Dolejší ◽

Filip Roskovec

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error

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An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method

Journal of Scientific Computing ◽

10.1007/s10915-004-4151-7 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 187-204 ◽

Author(s):

Paul Castillo

Keyword(s):

Error Estimate ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

A Posteriori Error Estimate ◽

Posteriori Error Estimate ◽

A Posteriori ◽

A Posteriori Error ◽

Local Discontinuous Galerkin

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Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.03.008 ◽

2016 ◽

Vol 106 ◽

pp. 129-153 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equations ◽

Galerkin Method ◽

Ordinary Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Nonlinear Ordinary Differential Equations ◽

A Posteriori ◽

A Posteriori Error

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Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

Journal of Computational Mathematics ◽

10.4208/jcm.1603-m2015-0317 ◽

2016 ◽

Vol 34 (5) ◽

pp. 511-531 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Discontinuous Galerkin Method ◽

Space Dimension ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Diffusion Problems

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Asymptotically Exact Posteriori Error Estimates for the Local Discontinuous Galerkin Method Applied to Nonlinear Convection–Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-018-0687-9 ◽

2018 ◽

Vol 76 (3) ◽

pp. 1868-1904 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

Nonlinear Convection ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Diffusion Problems

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A posteriori error estimates ofhp-discontinuous Galerkin method for strongly nonlinear elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2015.08.017 ◽

2015 ◽

Vol 297 ◽

pp. 140-166 ◽

Author(s):

Chunjia Bi ◽

Cheng Wang ◽

Yanping Lin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Nonlinear Elliptic Problems ◽

A Posteriori Error ◽

Strongly Nonlinear ◽

Nonlinear Elliptic

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