Unified discontinuous Galerkin scheme for a large class of elliptic equations

Physical Review D ◽

10.1103/physrevd.105.024034 ◽

2022 ◽

Vol 105 (2) ◽

Author(s):

Nils L. Fischer ◽

Harald P. Pfeiffer

Keyword(s):

Large Class ◽

Discontinuous Galerkin ◽

Elliptic Equations ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme

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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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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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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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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 ◽

Author(s):

Frieder Lörcher ◽

Gregor Gassner ◽

Claus-Dieter Munz

Keyword(s):

Discontinuous Galerkin ◽

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 ◽

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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):

Discontinuous Galerkin ◽

Viscoelastic Fluid ◽

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 ◽

Author(s):

Sashank Srinivasan ◽

Jonathan Poggie ◽

Xiangxiong Zhang

Keyword(s):

Discontinuous Galerkin ◽

Diffusion Equations ◽

Positivity Preserving ◽

Galerkin Scheme ◽

Convection Diffusion ◽

Discontinuous Galerkin Scheme

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An Adaptive Discontinuous Galerkin Scheme for Second Order Problems with an Interface

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_47 ◽

2008 ◽

pp. 397-404

Author(s):

P. Zunino

Keyword(s):

Discontinuous Galerkin ◽

Second Order ◽

Galerkin Scheme ◽

Discontinuous Galerkin Scheme

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