Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Numerische Mathematik ◽

10.1007/s00211-021-01209-4 ◽

2021 ◽

Author(s):

Kailiang Wu ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Physical Constraint

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Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations

Journal of Computational Science ◽

10.1016/j.jocs.2012.05.002 ◽

2013 ◽

Vol 4 (1-2) ◽

pp. 80-91 ◽

Author(s):

Sergey Yakovlev ◽

Liwei Xu ◽

Fengyan Li

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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PHYSICAL-CONSTRAINT-PRESERVING CENTRAL DISCONTINUOUS GALERKIN METHODS FOR SPECIAL RELATIVISTIC HYDRODYNAMICS WITH A GENERAL EQUATION OF STATE

The Astrophysical Journal Supplement Series ◽

10.3847/1538-4365/228/1/3 ◽

2016 ◽

Vol 228 (1) ◽

pp. 3 ◽

Author(s):

Kailiang Wu ◽

Huazhong Tang

Keyword(s):

Equation Of State ◽

Discontinuous Galerkin ◽

General Equation ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Physical Constraint ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

Journal of Computational Physics ◽

10.1016/j.jcp.2011.03.006 ◽

2011 ◽

Vol 230 (12) ◽

pp. 4828-4847 ◽

Author(s):

Fengyan Li ◽

Liwei Xu ◽

Sergey Yakovlev

Keyword(s):

Magnetic Field ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.12.016 ◽

2012 ◽

Vol 231 (6) ◽

pp. 2655-2675 ◽

Author(s):

Fengyan Li ◽

Liwei Xu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Arbitrary Order ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Journal of Scientific Computing ◽

10.1007/s10915-004-4146-4 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 413-442 ◽

Author(s):

Fengyan Li ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Divergence Free

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Device Modeling Using Discontinuous Galerkin Methods for Fluid Plasmas

40th AIAA Plasmadynamics and Lasers Conference ◽

10.2514/6.2009-3834 ◽

2009 ◽

Author(s):

John Loverich ◽

Ammar Hakim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Device Modeling ◽

Galerkin Methods

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Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system

10.31274/etd-180810-5144 ◽

2017 ◽

Author(s):

Pierson Guthrey

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

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A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01007-z ◽

2019 ◽

Vol 80 (3) ◽

pp. 1936-1956 ◽

Author(s):

Ali Samii ◽

Kazbek Kazhyken ◽

Craig Michoski ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Shallow Water Equations ◽

Hybridizable Discontinuous Galerkin Methods

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design

Journal of Scientific Computing ◽

10.1007/s10915-021-01499-8 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Jufang Wang ◽

Tiegang Liu

Keyword(s):

Shape Optimization ◽

Discontinuous Galerkin ◽

Optimization Design ◽

Discontinuous Galerkin Methods ◽

Local Maximum ◽

Galerkin Methods ◽

Accelerate Flow ◽

Flow Convergence

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