A new ADER discontinuous Galerkin method based on differential transformation procedure for hyperbolic conservation laws

Yingjuan Zhang; Gang Li; Shouguo Qian; Jinmei Gao

doi:10.1007/s40314-021-01525-3

A new ADER discontinuous Galerkin method based on differential transformation procedure for hyperbolic conservation laws

Computational and Applied Mathematics ◽

10.1007/s40314-021-01525-3 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Yingjuan Zhang ◽

Gang Li ◽

Shouguo Qian ◽

Jinmei Gao

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Differential Transformation ◽

Transformation Procedure

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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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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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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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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 h-Adaptive Implementation of the Discontinuous Galerkin Method for Nonlinear Hyperbolic Conservation Laws on Unstructured Meshes for Graphics Processing Units

Mathematical and Computational Approaches in Advancing Modern Science and Engineering ◽

10.1007/978-3-319-30379-6_40 ◽

2016 ◽

pp. 435-445

Author(s):

Andrew Giuliani ◽

Lilia Krivodonova

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Graphics Processing Units ◽

Hyperbolic Conservation Laws ◽

Unstructured Meshes ◽

Hyperbolic Conservation ◽

Graphics Processing ◽

Nonlinear Hyperbolic Conservation Laws

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High Order ADER Discontinuous Galerkin Method for Hyperbolic Conservation Laws

Advances in Applied Mathematics ◽

10.12677/aam.2020.98148 ◽

2020 ◽

Vol 09 (08) ◽

pp. 1263-1272

Author(s):

莹娟张

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Hyperbolic Conservation

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A parallel hp-adaptive discontinuous Galerkin method for hyperbolic conservation laws

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00101-8 ◽

1996 ◽

Vol 20 (4) ◽

pp. 321-336 ◽

Cited By ~ 41

Author(s):

Kim S. Bey ◽

J. Tinsley Oden ◽

Abani Patra

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.061 ◽

2019 ◽

Vol 396 ◽

pp. 544-578 ◽

Cited By ~ 1

Author(s):

Dongmi Luo ◽

Weizhang Huang ◽

Jianxian Qiu

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Moving Mesh ◽

Hyperbolic Conservation

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An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/20m1354192 ◽

2021 ◽

Vol 59 (3) ◽

pp. 1299-1324

Author(s):

Jianfang Lu ◽

Yong Liu ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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A space-time discontinuous Galerkin method for the time-accurate numerical solution of hyperbolic conservation laws

10.2514/6.1995-1658 ◽

1995 ◽

Cited By ~ 18

Author(s):

R Lowrie ◽

P Roe, n Leer, B

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Numerical Solution ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Conservation Laws ◽

Space Time ◽

Hyperbolic Conservation ◽

Accurate Numerical Solution

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