A Superconvergent Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes

Slimane Adjerid; Idir Mechai

doi:10.1007/s10915-013-9735-7

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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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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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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A staggered space–time discontinuous Galerkin method for the three-dimensional incompressible Navier–Stokes equations on unstructured tetrahedral meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2016.05.009 ◽

2016 ◽

Vol 319 ◽

pp. 294-323 ◽

Cited By ~ 45

Author(s):

Maurizio Tavelli ◽

Michael Dumbser

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Stokes Equations ◽

Three Dimensional ◽

Space Time ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Tetrahedral Meshes ◽

Unstructured Tetrahedral Meshes

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Discontinuous Galerkin method on three-dimensional tetrahedral meshes. The usage of the operator programming method

Keldysh Institute Preprints ◽

10.20948/prepr-2016-23 ◽

2016 ◽

pp. 1-27

Author(s):

Mikhail Mikhailovich Krasnov ◽

Marina Eugenievna Ladonkina ◽

Vladimir Fedorovich Tishkin

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

Programming Method ◽

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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Three-dimensional dynamic rupture simulation with a high-order discontinuous Galerkin method on unstructured tetrahedral meshes

Journal of Geophysical Research Atmospheres ◽

10.1029/2011jb008857 ◽

2012 ◽

Vol 117 (B2) ◽

pp. n/a-n/a ◽

Cited By ~ 60

Author(s):

Christian Pelties ◽

Josep de la Puente ◽

Jean-Paul Ampuero ◽

Gilbert B. Brietzke ◽

Martin Käser

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

High Order ◽

Dynamic Rupture ◽

Tetrahedral Meshes ◽

Unstructured Tetrahedral Meshes ◽

Dynamic Rupture Simulation

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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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Accurate Calculation of Fault-Rupture Models Using the High-Order Discontinuous Galerkin Method on Tetrahedral Meshes

Bulletin of the Seismological Society of America ◽

10.1785/0120060253 ◽

2007 ◽

Vol 97 (5) ◽

pp. 1570-1586 ◽

Cited By ~ 7

Author(s):

M. Kaser ◽

P. M. Mai ◽

M. Dumbser

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

High Order ◽

Fault Rupture ◽

Accurate Calculation ◽

Tetrahedral Meshes

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A moment limiter for the discontinuous Galerkin method on unstructured tetrahedral meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2019.109106 ◽

2020 ◽

Vol 404 ◽

pp. 109106 ◽

Cited By ~ 1

Author(s):

Andrew Giuliani ◽

Lilia Krivodonova

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Tetrahedral Meshes ◽

Unstructured Tetrahedral Meshes

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