Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations

Vivette Girault; Jizhou Li; Beatrice M. Rivière

doi:10.1002/num.22092

Strong convergence of the discontinuous Galerkin scheme for the low regularity miscible displacement equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22092 ◽

2016 ◽

Vol 33 (2) ◽

pp. 489-513 ◽

Cited By ~ 2

Author(s):

Vivette Girault ◽

Jizhou Li ◽

Beatrice M. Rivière

Keyword(s):

Strong Convergence ◽

Discontinuous Galerkin ◽

Miscible Displacement ◽

Galerkin Scheme ◽

Low Regularity ◽

Discontinuous Galerkin Scheme

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Analysis of a semidiscrete discontinuous Galerkin scheme for compressible miscible displacement problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.03.019 ◽

2008 ◽

Vol 214 (2) ◽

pp. 617-636 ◽

Cited By ~ 13

Author(s):

Mingrong Cui

Keyword(s):

Discontinuous Galerkin ◽

Miscible Displacement ◽

Galerkin Scheme ◽

Displacement Problem ◽

Discontinuous Galerkin Scheme ◽

Compressible Miscible Displacement

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A posteriori error of a discontinuous Galerkin scheme for compressible miscible displacement problems with molecular diffusion and dispersion

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.2208 ◽

2011 ◽

Vol 65 (7) ◽

pp. 781-797 ◽

Cited By ~ 7

Author(s):

Jiming Yang

Keyword(s):

Discontinuous Galerkin ◽

Molecular Diffusion ◽

Posteriori Error ◽

Miscible Displacement ◽

A Posteriori ◽

Galerkin Scheme ◽

A Posteriori Error ◽

Discontinuous Galerkin Scheme ◽

Compressible Miscible Displacement

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A cell-centered indirect Arbitrary-Lagrangian-Eulerian discontinuous Galerkin scheme on moving unstructured triangular meshes with topological adaptability

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110368 ◽

2021 ◽

pp. 110368

Author(s):

Wenbin Wu ◽

A-Man Zhang ◽

Moubin Liu

Keyword(s):

Discontinuous Galerkin ◽

Arbitrary Lagrangian Eulerian ◽

Triangular Meshes ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

A Cell

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A discontinuous Galerkin scheme for full-potential electronic structure calculations

Journal of Computational Physics ◽

10.1016/j.jcp.2019.02.006 ◽

2019 ◽

Vol 385 ◽

pp. 33-50

Author(s):

Xiaoxu Li ◽

Huajie Chen

Keyword(s):

Electronic Structure ◽

Discontinuous Galerkin ◽

Electronic Structure Calculations ◽

Full Potential ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

Structure Calculations

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An eigenvector-based linear reconstruction approach for time stepping in discontinuous Galerkin scheme used to solve shallow water equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3645 ◽

2012 ◽

Vol 70 (12) ◽

pp. 1590-1604 ◽

Cited By ~ 5

Author(s):

Quentin Araud ◽

Pascal Finaud-Guyot ◽

Vincent Guinot ◽

Robert Mosé ◽

José Vazquez

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Linear Reconstruction

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An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2008.02.015 ◽

2008 ◽

Vol 227 (11) ◽

pp. 5649-5670 ◽

Cited By ~ 32

Author(s):

Frieder Lörcher ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

Local Time ◽

Diffusion Equations ◽

Galerkin Scheme ◽

Time Stepping ◽

Discontinuous Galerkin Scheme ◽

Local Time Stepping

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An explicit discontinuous Galerkin scheme based on a Runge-Kutta predictor with application to magnetohydrodynamics

Numerical Methods for Hyperbolic Equations ◽

10.1201/b14172-44 ◽

2012 ◽

pp. 319-328

Author(s):

Christoph Altmann ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme ◽

Runge Kutta

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A High-Order Local Discontinuous Galerkin Scheme for Viscoelastic Fluid Flow

Lecture Notes in Computational Science and Engineering - Recent Advances in Computational Engineering ◽

10.1007/978-3-319-93891-2_4 ◽

2018 ◽

pp. 51-61

Author(s):

Anne Kikker ◽

Florian Kummer

Keyword(s):

Fluid Flow ◽

Discontinuous Galerkin ◽

Viscoelastic Fluid ◽

High Order ◽

Galerkin Scheme ◽

Local Discontinuous Galerkin ◽

Discontinuous Galerkin Scheme

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Application of Discontinuous Galerkin Scheme to Batch Crystallization Models

Industrial & Engineering Chemistry Research ◽

10.1021/ie1020427 ◽

2011 ◽

Vol 50 (7) ◽

pp. 4113-4122

Author(s):

Shamsul Qamar ◽

Iltaf Hussain ◽

Andreas Seidel-Morgenstern

Keyword(s):

Discontinuous Galerkin ◽

Batch Crystallization ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme

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A positivity-preserving high order discontinuous Galerkin scheme for convection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.04.002 ◽

2018 ◽

Vol 366 ◽

pp. 120-143 ◽

Cited By ~ 6

Author(s):

Sashank Srinivasan ◽

Jonathan Poggie ◽

Xiangxiong Zhang

Keyword(s):

Discontinuous Galerkin ◽

High Order ◽

Diffusion Equations ◽

Positivity Preserving ◽

Galerkin Scheme ◽

Convection Diffusion ◽

Discontinuous Galerkin Scheme

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