A Riemann-Solver Free Spacetime  Discontinuous Galerkin Method for General Conservation Laws

Shuang Z. Tu

doi:10.4236/ajcm.2015.52004

A Riemann-Solver Free Spacetime Discontinuous Galerkin Method for General Conservation Laws

American Journal of Computational Mathematics ◽

10.4236/ajcm.2015.52004 ◽

2015 ◽

Vol 05 (02) ◽

pp. 55-74 ◽

Cited By ~ 3

Author(s):

Shuang Z. Tu

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Riemann Solver ◽

General Conservation

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A Riemann-solver-free Runge-Kutta Discontinuous Galerkin Method for Conservation Laws

23rd AIAA Computational Fluid Dynamics Conference ◽

10.2514/6.2017-3949 ◽

2017 ◽

Cited By ~ 1

Author(s):

Shuangzhang Tu

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Riemann Solver ◽

Runge Kutta

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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 ◽

Cited By ~ 4

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 ◽

High Order ◽

Hyperbolic Conservation

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Further Development of a Riemann-solver Free Space-time Discontinuous Galerkin Method for Compressible Magnetohydrodynamics (MHD) Equations

53rd AIAA Aerospace Sciences Meeting ◽

10.2514/6.2015-0567 ◽

2015 ◽

Author(s):

Hongchao Song ◽

Lucheng Ji ◽

Qign Pang ◽

Shuangzhang Tu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Free Space ◽

Space Time ◽

Mhd Equations ◽

Riemann Solver ◽

Further Development

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Accuracy Enhancement of a Riemann-Solver-Free Spacetime Discontinuous Galerkin Method via Constrained Least Square Reconstruction

46th AIAA Fluid Dynamics Conference ◽

10.2514/6.2016-3495 ◽

2016 ◽

Author(s):

Shuangzhang Tu ◽

Qing Pang

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Least Square ◽

Riemann Solver ◽

Accuracy Enhancement

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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 ◽

Cited By ~ 14

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 ◽

Cited By ~ 10

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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An Adaptive Multiresolution Discontinuous Galerkin Method with Artificial Viscosity for Scalar Hyperbolic Conservation Laws in Multidimensions

SIAM Journal on Scientific Computing ◽

10.1137/19m126565x ◽

2020 ◽

Vol 42 (5) ◽

pp. A2943-A2973

Author(s):

Juntao Huang ◽

Yingda Cheng

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Artificial Viscosity ◽

Hyperbolic Conservation

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An Arbitrary Lagrangian–Eulerian Discontinuous Galerkin Method for Conservation Laws: Entropy Stability

Theory, Numerics and Applications of Hyperbolic Problems II - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-91548-7_16 ◽

2018 ◽

pp. 209-219

Author(s):

Christian Klingenberg ◽

Gero Schnücke ◽

Yinhua Xia

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Entropy Stability ◽

Arbitrary Lagrangian Eulerian

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