Spatial and spectral superconvergence of discontinuous Galerkin method for hyperbolic problems

Emilie Marchandise; Nicolas Chevaugeon; Jean-François Remacle

doi:10.1016/j.cam.2006.03.061

Spatial and spectral superconvergence of discontinuous Galerkin method for hyperbolic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2006.03.061 ◽

2008 ◽

Vol 215 (2) ◽

pp. 484-494 ◽

Cited By ~ 9

Author(s):

Emilie Marchandise ◽

Nicolas Chevaugeon ◽

Jean-François Remacle

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Problems

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Convexity in Hyperbolic Problems. Application to a Discontinuous Galerkin Method for the Resolution of the Polydimensional Euler Equations

Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications ◽

10.1007/978-3-322-87869-4_4 ◽

1989 ◽

pp. 31-42 ◽

Cited By ~ 3

Author(s):

F. Bourdel ◽

Ph. Delorme ◽

P. A. Mazet

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Problems

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A Superconvergent Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes

Journal of Scientific Computing ◽

10.1007/s10915-013-9735-7 ◽

2013 ◽

Vol 58 (1) ◽

pp. 203-248 ◽

Cited By ~ 1

Author(s):

Slimane Adjerid ◽

Idir Mechai

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Problems ◽

Tetrahedral Meshes

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Sharp Penalty Term and Time Step Bounds for the Interior Penalty Discontinuous Galerkin Method for Linear Hyperbolic Problems

SIAM Journal on Scientific Computing ◽

10.1137/16m1091290 ◽

2017 ◽

Vol 39 (5) ◽

pp. A1851-A1878 ◽

Cited By ~ 3

Author(s):

Sjoerd Geevers ◽

J.J.W. van der Vegt

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Problems ◽

Time Step ◽

Interior Penalty ◽

Penalty Term

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The use of the discontinuous Galerkin method for solving one-dimensional hyperbolic problems of hyperelasticity in an inhomogeneous medium

Keldysh Institute Preprints ◽

10.20948/prepr-2019-88 ◽

2019 ◽

pp. 1-20

Author(s):

Mikhail Vladislavovich Alekseev ◽

Evgeny Borisovich Savenkov

Keyword(s):

Galerkin Method ◽

Inhomogeneous Medium ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Problems ◽

One Dimensional

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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 ◽

Cited By ~ 33

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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The Discontinuous Galerkin Method for Two-Dimensional Hyperbolic Problems. Part I: Superconvergence Error Analysis

Journal of Scientific Computing ◽

10.1007/s10915-007-9144-x ◽

2007 ◽

Vol 33 (1) ◽

pp. 75-113 ◽

Cited By ~ 35

Author(s):

Slimane Adjerid ◽

Mahboub Baccouch

Keyword(s):

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensional ◽

Hyperbolic Problems

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SELECTION OF VISCOUS TERMS APPROXIMATION IN DISCONTINUOUS GALERKIN METHOD

TsAGI Science Journal ◽

10.1615/tsagiscij.2013009684 ◽

2013 ◽

Vol 44 (3) ◽

pp. 327-354

Author(s):

Aleksey Igorevich Troshin ◽

Vladimir Viktorovich Vlasenko ◽

Andrey Viktorovich Wolkov

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Selection Of

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The Extension of A Limiting Algorithm for Discontinuous Galerkin Method to Higher Order

19th AIAA Computational Fluid Dynamics ◽

10.2514/6.2009-3982 ◽

2009 ◽

Author(s):

Adrian Maroni ◽

Klaus Hoffmann

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Higher Order

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Correction: A Discontinuous Galerkin method for Non-Equilibrium Multi-Material Flows on Unstructured Grids

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-1313.c1 ◽

2020 ◽

Author(s):

Aditya Pandare ◽

Jacob Waltz ◽

Jozsef Bakosi

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Unstructured Grids ◽

Material Flows ◽

Non Equilibrium

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A level-set discontinuous galerkin method for polymorphic phase change

10.26226/morressier.5f5f8e69aa777f8ba5bd5ff1 ◽

2020 ◽

Author(s):

Arjun Narayanan ◽

Stephen Morris

Keyword(s):

Phase Change ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Level Set ◽

Discontinuous Galerkin Method

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