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 ◽

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 ◽

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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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 ◽

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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A new discontinuous Galerkin mixed finite element method for compressible miscible displacement problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.08.008 ◽

2020 ◽

Vol 80 (6) ◽

pp. 1714-1725

Author(s):

Jiansong Zhang ◽

Huiran Han

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Compressible Miscible Displacement ◽

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Superconvergence of a combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-011-0081-y ◽

2011 ◽

Vol 27 (3) ◽

pp. 481-494 ◽

Author(s):

Ji-ming Yang ◽

Yanping Chen

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Displacement Problem ◽

Compressible Miscible Displacement

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A combined mixed and discontinuous Galerkin method for compressible miscible displacement problem in porous media

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.11.021 ◽

2007 ◽

Vol 198 (1) ◽

pp. 19-34 ◽

Author(s):

Mingrong Cui

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Compressible Miscible Displacement

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Superconvergence of a full-discrete combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21777 ◽

2013 ◽

Vol 29 (6) ◽

pp. 1801-1820 ◽

Author(s):

Jiming Yang ◽

Yanping Chen ◽

Zhiguang Xiong

Keyword(s):

Finite Element ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Displacement Problem ◽

Compressible Miscible Displacement

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Error analysis of the semi-discrete local discontinuous Galerkin method for compressible miscible displacement problem in porous media

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.01.090 ◽

2015 ◽

Vol 259 ◽

pp. 88-105 ◽

Author(s):

Hui Guo ◽

Qinghua Zhang ◽

Jichao Wang

Keyword(s):

Porous Media ◽

Error Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Miscible Displacement ◽

Displacement Problem ◽

Local Discontinuous Galerkin ◽

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 ◽

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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 ◽

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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