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 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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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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The Local Discontinuous Galerkin Method for the Fourth-Order Euler–Bernoulli Partial Differential Equation in One Space Dimension. Part I: Superconvergence Error Analysis

Journal of Scientific Computing ◽

10.1007/s10915-013-9782-0 ◽

2013 ◽

Vol 59 (3) ◽

pp. 795-840 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Space Dimension ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

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A posteriori error estimation for a singularly perturbed Volterra integro-differential equation

Numerical Algorithms ◽

10.1007/s11075-019-00693-y ◽

2019 ◽

Vol 83 (2) ◽

pp. 549-563 ◽

Author(s):

Jian Huang ◽

Zhongdi Cen ◽

Aimin Xu ◽

Li-Bin Liu

Keyword(s):

Differential Equation ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Singularly Perturbed ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Integro Differential Equation

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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 Estimation with Finite Element Semi- and Fully Discrete Methods for Nonlinear Parabolic Equations in One Space Dimension

SIAM Journal on Numerical Analysis ◽

10.1137/0731008 ◽

1994 ◽

Vol 31 (1) ◽

pp. 149-169 ◽

Author(s):

Peter K. Moore

Keyword(s):

Parabolic Equations ◽

Space Dimension ◽

Posteriori Error ◽

Nonlinear Parabolic Equations ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Fully Discrete ◽

Nonlinear Parabolic ◽

Discrete Methods

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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 with the finite element method of lines for a nonlinear parabolic equation in one space dimension

Numerische Mathematik ◽

10.1007/s002110050459 ◽

1999 ◽

Vol 83 (3) ◽

pp. 455-475 ◽

Author(s):

K. Segeth

Keyword(s):

Finite Element Method ◽

Parabolic Equation ◽

Space Dimension ◽

Method Of Lines ◽

Posteriori Error ◽

A Posteriori ◽

Posteriori Error Estimation ◽

The Finite Element Method ◽

A Posteriori Error ◽

Nonlinear Parabolic

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Interpolation error-based a posteriori error estimation for two-point boundary value problems and parabolic equations in one space dimension

Numerische Mathematik ◽

10.1007/s002110100297 ◽

2001 ◽

Vol 90 (1) ◽

pp. 149-177 ◽

Author(s):

Peter K. Moore

Keyword(s):

Boundary Value Problems ◽

Error Estimation ◽

Parabolic Equations ◽

Space Dimension ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Point Boundary ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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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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