Discontinuous Galerkin methods for general-relativistic hydrodynamics: Formulation and application to spherically symmetric spacetimes

David Radice; Luciano Rezzolla

doi:10.1103/physrevd.84.024010

Discontinuous Galerkin methods for general-relativistic hydrodynamics: Formulation and application to spherically symmetric spacetimes

Physical Review D ◽

10.1103/physrevd.84.024010 ◽

2011 ◽

Vol 84 (2) ◽

Cited By ~ 42

Author(s):

David Radice ◽

Luciano Rezzolla

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Spherically Symmetric ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Symmetric Spacetimes ◽

General Relativistic ◽

Spherically Symmetric Spacetimes

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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 ◽

Cited By ~ 16

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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Runge–Kutta discontinuous Galerkin methods with WENO limiter for the special relativistic hydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2013.02.018 ◽

2013 ◽

Vol 242 ◽

pp. 138-168 ◽

Cited By ~ 20

Author(s):

Jian Zhao ◽

Huazhong Tang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics ◽

Runge Kutta

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Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2016.02.079 ◽

2016 ◽

Vol 315 ◽

pp. 323-347 ◽

Cited By ~ 27

Author(s):

Tong Qin ◽

Chi-Wang Shu ◽

Yang Yang

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Relativistic Hydrodynamics

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Relativistic hydrodynamics on spacelike and null surfaces: Formalism and computations of spherically symmetric spacetimes

Physical Review D ◽

10.1103/physrevd.61.024015 ◽

1999 ◽

Vol 61 (2) ◽

Cited By ~ 31

Author(s):

Philippos Papadopoulos ◽

José A. Font

Keyword(s):

Spherically Symmetric ◽

Relativistic Hydrodynamics ◽

Symmetric Spacetimes ◽

Spherically Symmetric Spacetimes ◽

Null Surfaces

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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 ◽

Maxwell System

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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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 5

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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Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01370-2 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Chao Zhang ◽

Yan Xu ◽

Yinhua Xia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Dispersive System ◽

Kdv Type Equations

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