Stationary Discrete Shock Profiles for Scalar Conservation Laws with a Discontinuous Galerkin Method

SIAM Journal on Numerical Analysis ◽

10.1137/14097906x ◽

2015 ◽

Vol 53 (4) ◽

pp. 1690-1715 ◽

Author(s):

Florent Renac

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Scalar Conservation Laws ◽

Shock Profiles ◽

Scalar Conservation

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A spacetime discontinuous Galerkin method for scalar conservation laws

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.01.028 ◽

2004 ◽

Vol 193 (33-35) ◽

pp. 3607-3631 ◽

Author(s):

Jayandran Palaniappan ◽

Robert B. Haber ◽

Robert L. Jerrard

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Scalar Conservation Laws ◽

Scalar Conservation

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Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Nonlinear Scalar Conservation Laws in One Space Dimension

Journal of Scientific Computing ◽

10.1007/s10915-015-0030-7 ◽

2015 ◽

Vol 66 (2) ◽

pp. 459-476 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Dimension ◽

Error Estimator ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws ◽

One Space Dimension

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Stability Analysis of Discontinuous Galerkin Discrete Shock Profiles for Steady Scalar Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/15m1026808 ◽

2016 ◽

Vol 54 (1) ◽

pp. 187-209

Author(s):

Florent Renac

Keyword(s):

Stability Analysis ◽

Conservation Laws ◽

Discontinuous Galerkin ◽

Scalar Conservation Laws ◽

Shock Profiles ◽

Scalar Conservation

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Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge–Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/090771363 ◽

2010 ◽

Vol 48 (3) ◽

pp. 1038-1063 ◽

Author(s):

Qiang Zhang ◽

Chi-Wang Shu

Keyword(s):

Stability Analysis ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

A Priori ◽

Scalar Conservation Laws ◽

Third Order ◽

The Third ◽

Priori Error Estimates ◽

Scalar Conservation

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A discontinuous Galerkin method with Lagrange multiplier for hyperbolic conservation laws with boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.05.003 ◽

2015 ◽

Vol 70 (4) ◽

pp. 488-506 ◽

Author(s):

Mi-Young Kim

Keyword(s):

Boundary Conditions ◽

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Lagrange Multiplier ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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Discontinuous Galerkin Method for Conservation Laws

Numerical Solutions of Partial Differential Equations ◽

10.1007/978-3-7643-8940-6_13 ◽

2009 ◽

pp. 157-174

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method

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A High Order Fourier/Unstructured Discontinuous Galerkin Method for Hyperbolic Conservation Laws

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8724-3_38 ◽

1999 ◽

pp. 875-884

Author(s):

Spencer Sherwin

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics

Computers & Fluids ◽

10.1016/j.compfluid.2010.07.018 ◽

2011 ◽

Vol 46 (1) ◽

pp. 498-504 ◽

Author(s):

François Vilar ◽

Pierre-Henri Maire ◽

Rémi Abgrall

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Unstructured Grids ◽

Two Dimensional ◽

Scalar Conservation Laws ◽

One Dimensional ◽

Lagrangian Hydrodynamics ◽

Scalar Conservation

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Moving Mesh Discontinuous Galerkin Method for Hyperbolic Conservation Laws

Journal of Scientific Computing ◽

10.1007/s10915-005-9045-9 ◽

2006 ◽

Vol 27 (1-3) ◽

pp. 347-363 ◽

Author(s):

Ruo Li ◽

Tao Tang

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Moving Mesh ◽

Hyperbolic Conservation

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Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: Analysis and application in one dimension

Mathematics of Computation ◽

10.1090/mcom/3126 ◽

2016 ◽

Vol 86 (305) ◽

pp. 1203-1232 ◽

Author(s):

Christian Klingenberg ◽

Gero Schnücke ◽

Yinhua Xia

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

One Dimension ◽

Arbitrary Lagrangian Eulerian

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