EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 23 4 (1989) 565-592 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

An analysis of the spectrum of the discontinuous Galerkin method II: Nonuniform grids

Lilia Krivodonova and Ruibin Qin
Applied Numerical Mathematics 71 41 (2013)
DOI: 10.1016/j.apnum.2013.04.003
See this article

Implicit–explicit time stepping with spatial discontinuous finite elements

Willem Hundsdorfer and Jérôme Jaffré
Applied Numerical Mathematics 45 (2-3) 231 (2003)
DOI: 10.1016/S0168-9274(02)00192-7
See this article

The discontinuous Galerkin finite element method for the 2D shallow water equations

Hong Li and RuXun Liu
Mathematics and Computers in Simulation 56 (3) 223 (2001)
DOI: 10.1016/S0378-4754(01)00277-4
See this article

R. Abgrall and Mario Ricchiuto
1 (2017)
DOI: 10.1002/9781119176817.ecm2112
See this article

A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies

C. Bassi, L. Bonaventura, S. Busto and M. Dumbser
Computers & Fluids 212 104716 (2020)
DOI: 10.1016/j.compfluid.2020.104716
See this article

Entropy stable discontinuous Galerkin methods for ten-moment Gaussian closure equations

Biswarup Biswas, Harish Kumar and Anshu Yadav
Journal of Computational Physics 431 110148 (2021)
DOI: 10.1016/j.jcp.2021.110148
See this article

On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics

V. Wheatley, H. Kumar and P. Huguenot
Journal of Computational Physics 229 (3) 660 (2010)
DOI: 10.1016/j.jcp.2009.10.003
See this article

Stability properties of the Discontinuous Galerkin Material Point Method for hyperbolic problems in one and two space dimensions

Adrien Renaud, Thomas Heuzé and Laurent Stainier
International Journal for Numerical Methods in Engineering 121 (4) 664 (2020)
DOI: 10.1002/nme.6239
See this article

Local discontinuous Galerkin approximations to Richards’ equation

H. Li, M.W. Farthing, C.N. Dawson and C.T. Miller
Advances in Water Resources 30 (3) 555 (2007)
DOI: 10.1016/j.advwatres.2006.04.011
See this article

J. J. W. Van Der Vegt, H. Van Der Ven and O. J. Boelens
985 (2001)
DOI: 10.1007/978-1-4615-0663-8_92
See this article

Strong Stability of Explicit Runge--Kutta Time Discretizations

Zheng Sun and Chi-wang Shu
SIAM Journal on Numerical Analysis 57 (3) 1158 (2019)
DOI: 10.1137/18M122892X
See this article

Bernardo Cockburn, George E. Karniadakis and Chi-Wang Shu
11 3 (2000)
DOI: 10.1007/978-3-642-59721-3_1
See this article

Discontinuous Galerkin scheme for solving non-isothermal and non-equilibrium model of liquid chromatography

Shireen Zafar, Sadia Perveen and Shamsul Qamar
Journal of Liquid Chromatography & Related Technologies 44 (1-2) 52 (2021)
DOI: 10.1080/10826076.2020.1867164
See this article

A Problem-Independent Limiter for High-Order Runge–Kutta Discontinuous Galerkin Methods

A. Burbeau, P. Sagaut and Ch.-H. Bruneau
Journal of Computational Physics 169 (1) 111 (2001)
DOI: 10.1006/jcph.2001.6718
See this article

An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems

Fang Q. Hu, M.Y. Hussaini and Patrick Rasetarinera
Journal of Computational Physics 151 (2) 921 (1999)
DOI: 10.1006/jcph.1999.6227
See this article

F. Renac, M. de la Llave Plata, E. Martin, J. -B. Chapelier and V. Couaillier
128 315 (2015)
DOI: 10.1007/978-3-319-12886-3_15
See this article

Joachim Becker and Martin Rumpf
91 (1998)
DOI: 10.1007/978-3-7091-7517-0_9
See this article

Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge–Kutta time discretizations

Ethan J. Kubatko, Joannes J. Westerink and Clint Dawson
Journal of Computational Physics 222 (2) 832 (2007)
DOI: 10.1016/j.jcp.2006.08.005
See this article

Finite element analysis of stability of two-dimensional viscoelastic flows to three-dimensional perturbations

M.D. Smith, R.C. Armstrong, R.A. Brown and R. Sureshkumar
Journal of Non-Newtonian Fluid Mechanics 93 (2-3) 203 (2000)
DOI: 10.1016/S0377-0257(00)00124-5
See this article

Richard E. Ewing and Hong Wang
423 (2001)
DOI: 10.1016/B978-0-444-50616-0.50018-X
See this article

Supersonic turbulent flow simulation using a scalable parallel modal discontinuous Galerkin numerical method

Tomas Houba, Arnob Dasgupta, Shivasubramanian Gopalakrishnan, Ryan Gosse and Subrata Roy
Scientific Reports 9 (1) (2019)
DOI: 10.1038/s41598-019-50546-w
See this article

Time step restrictions for Runge–Kutta discontinuous Galerkin methods on triangular grids

Ethan J. Kubatko, Clint Dawson and Joannes J. Westerink
Journal of Computational Physics 227 (23) 9697 (2008)
DOI: 10.1016/j.jcp.2008.07.026
See this article

Linear stability and dynamics of viscoelastic flows using time-dependent stochastic simulation techniques

Madan Somasi and Bamin Khomami
Journal of Non-Newtonian Fluid Mechanics 93 (2-3) 339 (2000)
DOI: 10.1016/S0377-0257(00)00115-4
See this article

Z. Xu and X. Zhang
18 81 (2017)
DOI: 10.1016/bs.hna.2016.08.002
See this article

A new approach to the deformation fields method for solving complex flows using integral constitutive equations

M.A. Hulsen, E.A.J.F. Peters and B.H.A.A. van den Brule
Journal of Non-Newtonian Fluid Mechanics 98 (2-3) 201 (2001)
DOI: 10.1016/S0377-0257(01)00110-0
See this article

Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations

Biswarup Biswas, Harish Kumar and Deepak Bhoriya
Computers & Mathematics with Applications 112 55 (2022)
DOI: 10.1016/j.camwa.2022.02.019
See this article

A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations

Hailiang Liu, Robin Gröpler and Gerald Warnecke
SIAM Journal on Scientific Computing 41 (3) B448 (2019)
DOI: 10.1137/17M1150360
See this article

Application of a discontinuous Galerkin method on the compressible flow in the transonic axial compressor

Xiaodong Ren and Chunwei Gu
Applied Thermal Engineering 93 707 (2016)
DOI: 10.1016/j.applthermaleng.2015.10.048
See this article

Optimized Filters for Stabilizing High-Order Large Eddy Simulation

Mohsen Hamedi and Brian C. Vermeire
Computers & Fluids 237 105301 (2022)
DOI: 10.1016/j.compfluid.2021.105301
See this article

CFL Condition and Boundary Conditions for DGM Approximation of Convection‐Diffusion

Jean‐Baptiste Apoung Kamga and Bruno Després
SIAM Journal on Numerical Analysis 44 (6) 2245 (2006)
DOI: 10.1137/050633159
See this article

Discontinuous Galerkin Scheme for Solving a Lumped Kinetic Model of Non-isothermal Liquid Chromatography with Bi-Langmuir Isotherms

Ambreen Khan, Sadia Perveen and Shamsul Qamar
Industrial & Engineering Chemistry Research 60 (34) 12592 (2021)
DOI: 10.1021/acs.iecr.1c01074
See this article

The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V

Bernardo Cockburn and Chi-Wang Shu
Journal of Computational Physics 141 (2) 199 (1998)
DOI: 10.1006/jcph.1998.5892
See this article

Solving the advection-diffusion equation on unstructured meshes with discontinuous/mixed finite elements and a local time stepping procedure

Ch. P. El Soueidy, A. Younes and P. Ackerer
International Journal for Numerical Methods in Engineering 79 (9) 1068 (2009)
DOI: 10.1002/nme.2609
See this article

Discontinuous-Galerkin finite-element method for approximating a model of non-equilibrium liquid chromatography considering Bi-Langmuir isotherm

Ambreen Khan, Sadia Perveen and Shamsul Qamar
Journal of Liquid Chromatography & Related Technologies 44 (5-6) 298 (2021)
DOI: 10.1080/10826076.2021.1916526
See this article

Discontinuous Galerkin Finite-Element Method for Transcritical Two-Dimensional Shallow Water Flows

D. Schwanenberg and M. Harms
Journal of Hydraulic Engineering 130 (5) 412 (2004)
DOI: 10.1061/(ASCE)0733-9429(2004)130:5(412)
See this article

An Improved Eulerian Approach for the Finite Time Lyapunov Exponent

Guoqiao You and Shingyu Leung
Journal of Scientific Computing 76 (3) 1407 (2018)
DOI: 10.1007/s10915-018-0669-y
See this article

Sophie Gérald, Florent Renac, Claude Marmignon, Juliet Ryan and Frederic Coquel
(2012)
DOI: 10.2514/6.2012-731
See this article

Un método de captura de choques basado en las funciones de forma para Galerkin discontinuo de alto orden

E. Casoni, J. Peraire and A. Huerta
Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 28 (4) 204 (2012)
DOI: 10.1016/j.rimni.2012.08.001
See this article

Time Implicit High-Order Discontinuous Galerkin Method with Reduced Evaluation Cost

Florent Renac, Claude Marmignon and Frédéric Coquel
SIAM Journal on Scientific Computing 34 (1) A370 (2012)
DOI: 10.1137/100816845
See this article

On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows

Saray Busto, Michael Dumbser, Sergey Gavrilyuk and Kseniya Ivanova
Journal of Scientific Computing 88 (1) (2021)
DOI: 10.1007/s10915-021-01521-z
See this article

An analysis of the spectrum of the discontinuous Galerkin method

Lilia Krivodonova and Ruibin Qin
Applied Numerical Mathematics 64 1 (2013)
DOI: 10.1016/j.apnum.2012.07.008
See this article

Local discontinuous Galerkin schemes for a nonlinear variational wave equation modelling liquid crystals

P. Aursand and U. Koley
Journal of Computational and Applied Mathematics 317 478 (2017)
DOI: 10.1016/j.cam.2016.12.006
See this article

Fast time implicit–explicit discontinuous Galerkin method for the compressible Navier–Stokes equations

Florent Renac, Sophie Gérald, Claude Marmignon and Frédéric Coquel
Journal of Computational Physics 251 272 (2013)
DOI: 10.1016/j.jcp.2013.05.043
See this article

Compositional Modeling by the Combined Discontinuous Galerkin and Mixed Methods

H. Hoteit and A. Firoozabadi
SPE Journal 11 (01) 19 (2006)
DOI: 10.2118/90276-PA
See this article

Compositional Modeling of Discrete-Fractured Media Without Transfer Functions by the Discontinuous Galerkin and Mixed Methods

H. Hoteit and A. Firoozabadi
SPE Journal 11 (03) 341 (2006)
DOI: 10.2118/90277-PA
See this article

High-Order Flux Reconstruction Schemes with Minimal Dispersion and Dissipation

Kartikey Asthana and Antony Jameson
Journal of Scientific Computing 62 (3) 913 (2015)
DOI: 10.1007/s10915-014-9882-5
See this article

Numerical modeling of two-phase flow in heterogeneous permeable media with different capillarity pressures

Hussein Hoteit and Abbas Firoozabadi
Advances in Water Resources 31 (1) 56 (2008)
DOI: 10.1016/j.advwatres.2007.06.006
See this article

High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves

C. Bassi, S. Busto and M. Dumbser
Applied Numerical Mathematics 158 236 (2020)
DOI: 10.1016/j.apnum.2020.08.005
See this article

A high-order/low-order (HOLO) algorithm for preserving conservation in time-dependent low-rank transport calculations

Zhuogang Peng and Ryan G. McClarren
Journal of Computational Physics 447 110672 (2021)
DOI: 10.1016/j.jcp.2021.110672
See this article

Non-linear stabilization of high-order Flux Reconstruction schemes via Fourier-spectral filtering

Kartikey Asthana, Manuel R. López-Morales and Antony Jameson
Journal of Computational Physics 303 269 (2015)
DOI: 10.1016/j.jcp.2015.09.041
See this article

Simulation of a viscous compressible flow past a circular cylinder with high-order discontinuous Galerkin methods

A. Burbeau and P. Sagaut
Computers & Fluids 31 (8) 867 (2002)
DOI: 10.1016/S0045-7930(01)00055-X
See this article

New two-dimensional slope limiters for discontinuous Galerkin methods on arbitrary meshes

H. Hoteit, Ph. Ackerer, R. Mosé, J. Erhel and B. Philippe
International Journal for Numerical Methods in Engineering 61 (14) 2566 (2004)
DOI: 10.1002/nme.1172
See this article

Adaptive local discontinuous Galerkin approximation to Richards’ equation

H. Li, M.W. Farthing and C.T. Miller
Advances in Water Resources 30 (9) 1883 (2007)
DOI: 10.1016/j.advwatres.2007.02.007
See this article

DG-FEM based simulation of laminar convection in an annulus with triangular fins of different heights

Muhammad Ishaq, Khalid Saifullah Syed, Zafar Iqbal, Ahmad Hassan and Amjad Ali
International Journal of Thermal Sciences 72 125 (2013)
DOI: 10.1016/j.ijthermalsci.2013.04.022
See this article