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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Superconvergence and a posteriori error estimates for the LDG method for convection–diffusion problems in one space dimension

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.12.014 ◽

2014 ◽

Vol 67 (5) ◽

pp. 1130-1153 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Error Estimates ◽

Space Dimension ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Diffusion Problems ◽

One Space Dimension

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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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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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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 ◽

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 analysis of the local discontinuous Galerkin method for the sine–Gordon equation in one space dimension

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112432 ◽

2020 ◽

Vol 366 ◽

pp. 112432

Author(s):

Mahboub Baccouch

Keyword(s):

Space Dimension ◽

Gordon Equation ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

Sine Gordon Equation ◽

A Posteriori Error ◽

Local Discontinuous Galerkin ◽

Posteriori Error Analysis

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The Local Discontinuous Galerkin Method for the Fourth-Order Euler–Bernoulli Partial Differential Equation in One Space Dimension. Part II: A Posteriori Error Estimation

Journal of Scientific Computing ◽

10.1007/s10915-013-9783-z ◽

2013 ◽

Vol 60 (1) ◽

pp. 1-34 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Fourth Order ◽

Space Dimension ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Local Discontinuous Galerkin

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A posteriori error estimates for approximations of evolutionary convection–diffusion problems

Journal of Mathematical Sciences ◽

10.1007/s10958-010-0100-1 ◽

2010 ◽

Vol 170 (4) ◽

pp. 554-566 ◽

Author(s):

S. I. Repin ◽

S. K. Tomar

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Convection Diffusion ◽

Diffusion Problems

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An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method Applied to Linear and Nonlinear Diffusion Problems

Journal of Scientific Computing ◽

10.1007/s10915-004-4137-5 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 147-185 ◽

Author(s):

Rommel Bustinza ◽

Gabriel N. Gatica ◽

Bernardo Cockburn

Keyword(s):

Nonlinear Diffusion ◽

Posteriori Error ◽

Local Discontinuous Galerkin Method ◽

A Posteriori Error Estimate ◽

Posteriori Error Estimate ◽

A Posteriori ◽

A Posteriori Error ◽

Local Discontinuous Galerkin ◽

Linear And Nonlinear ◽

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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Nonlinear convection-diffusion problems: fully discrete approximations and a posteriori error estimates

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drq017 ◽

2011 ◽

Vol 31 (4) ◽

pp. 1402-1430 ◽

Author(s):

J. de Frutos ◽

B. Garcia-Archilla ◽

J. Novo

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Discrete Approximations ◽

Nonlinear Convection ◽

A Posteriori Error ◽

Convection Diffusion ◽

Fully Discrete ◽

Diffusion Problems

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