The Discontinuous Galerkin Method for Two-dimensional Hyperbolic Problems Part II: A Posteriori Error Estimation

Journal of Scientific Computing ◽

10.1007/s10915-008-9222-8 ◽

2008 ◽

Vol 38 (1) ◽

pp. 15-49 ◽

Author(s):

Slimane Adjerid ◽

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

Two Dimensional ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Hyperbolic Problems ◽

A Posteriori Error

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A Posteriori Error Estimation for a New Stabilized Discontinuous Galerkin Method

10.21236/ada438102 ◽

2002 ◽

Author(s):

A. Romkes ◽

S. Prudhomme ◽

J. T. Oden

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A high-order h-adaptive discontinuous Galerkin method for unstructured grids based on a posteriori error estimation.

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1696 ◽

2021 ◽

Author(s):

Francesca Basile ◽

Jean-Baptiste Chapelier ◽

Marta de la Llave Plata ◽

Romain Laraufie ◽

Pascal Frey

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error estimation for a new stabilized discontinuous Galerkin method

Applied Mathematics Letters ◽

10.1016/s0893-9659(03)00018-1 ◽

2003 ◽

Vol 16 (4) ◽

pp. 447-452 ◽

Author(s):

A. Romkes ◽

S. Prudhomme ◽

J.T. Oden

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(01)00318-8 ◽

2002 ◽

Vol 191 (11-12) ◽

pp. 1097-1112 ◽

Author(s):

Slimane Adjerid ◽

Karen D. Devine ◽

Joseph E. Flaherty ◽

Lilia Krivodonova

Keyword(s):

Discontinuous Galerkin ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Hyperbolic Problems ◽

A Posteriori Error

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Element-wise A Posteriori Error Estimation and Improvement of Stress Solutions for Two-dimensional Elasto-plastic Problems

Journal of the Society of Naval Architects of Japan ◽

10.2534/jjasnaoe1968.1995.178_341 ◽

1995 ◽

Vol 1995 (178) ◽

pp. 341-348

Author(s):

Mitsuru Kitamura ◽

Jiangang Shi ◽

Hisashi Nobukawa ◽

Hideomi Ohtsubo

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Two Dimensional ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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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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Second-order finite element approximations and a posteriori error estimation for two-dimensional parabolic systems

Numerische Mathematik ◽

10.1007/bf01395884 ◽

1988 ◽

Vol 53 (1-2) ◽

pp. 183-198 ◽

Author(s):

Slimane Adjerid ◽

Joseph E. Flaherty

Keyword(s):

Finite Element ◽

Error Estimation ◽

Parabolic Systems ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Two Dimensional ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Finite Element Approximations

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A Posteriori Error Analysis of the Discontinuous Galerkin Method for Two-Dimensional Linear Hyperbolic Conservation Laws on Cartesian Grids

Journal of Scientific Computing ◽

10.1007/s10915-016-0166-0 ◽

2016 ◽

Vol 68 (3) ◽

pp. 945-974 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Posteriori Error ◽

Two Dimensional ◽

A Posteriori ◽

A Posteriori Error Analysis ◽

A Posteriori Error ◽

Hyperbolic Conservation ◽

Posteriori Error Analysis

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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 ◽

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 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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