High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws

Mi-Young Kim; Eun-Jae Park; Jaemin Shin

doi:10.1016/j.camwa.2017.02.039

High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.039 ◽

2017 ◽

Vol 73 (9) ◽

pp. 1945-1974 ◽

Cited By ~ 4

Author(s):

Mi-Young Kim ◽

Eun-Jae Park ◽

Jaemin Shin

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Lagrange Multiplier ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Systems ◽

High Order ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions

Geometric Analysis and Nonlinear Partial Differential Equations ◽

10.1007/978-3-642-55627-2_30 ◽

2003 ◽

pp. 573-589 ◽

Cited By ~ 3

Author(s):

A. Dedner ◽

D. Kröner ◽

C. Rohde ◽

T. Schnitzer ◽

M. Wesenberg

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Higher Order ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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Stabilization for discontinuous Galerkin methods applied to systems of conservation laws

Hyperbolic Problems: Theory, Numerics and Applications - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/067.1/2605223 ◽

2009 ◽

pp. 253-268

Author(s):

Andreas Dedner ◽

Robert Klöfkorn

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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An entropy-residual shock detector for solving conservation laws using high-order discontinuous Galerkin methods

Journal of Computational Physics ◽

10.1016/j.jcp.2016.06.052 ◽

2016 ◽

Vol 322 ◽

pp. 448-472 ◽

Cited By ~ 14

Author(s):

Yu Lv ◽

Yee Chee See ◽

Matthias Ihme

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods

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High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2005.10.005 ◽

2006 ◽

Vol 214 (2) ◽

pp. 567-598 ◽

Cited By ~ 136

Author(s):

Yulong Xing ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Finite Volume ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Systems ◽

High Order ◽

Galerkin Methods ◽

Source Terms ◽

Weno Schemes

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Implicit Positivity-Preserving High-Order Discontinuous Galerkin Methods for Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/17m112436x ◽

2018 ◽

Vol 40 (1) ◽

pp. A81-A107 ◽

Cited By ~ 10

Author(s):

Tong Qin ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

High Order ◽

Galerkin Methods ◽

Positivity Preserving

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Simplified Discontinuous Galerkin Methods for Systems of Conservation Laws with Convex Extension

Lecture Notes in Computational Science and Engineering - Discontinuous Galerkin Methods ◽

10.1007/978-3-642-59721-3_3 ◽

2000 ◽

pp. 63-75 ◽

Cited By ~ 2

Author(s):

Timothy J. Barth

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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Review of Entropy Stable Discontinuous Galerkin Methods for Systems of Conservation Laws on Unstructured Simplex Meshes

CSIAM Transactions on Applied Mathematics ◽

10.4208/csam.2020-0003 ◽

2020 ◽

Vol 1 (1) ◽

pp. 1-52

Author(s):

global sci

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Systems Of Conservation Laws ◽

Entropy Stable

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High Order Cut Discontinuous Galerkin Methods for Hyperbolic Conservation Laws in One Space Dimension

SIAM Journal on Scientific Computing ◽

10.1137/20m1349060 ◽

2021 ◽

Vol 43 (4) ◽

pp. A2404-A2424

Author(s):

Pei Fu ◽

Gunilla Kreiss

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

Space Dimension ◽

High Order ◽

Galerkin Methods ◽

Hyperbolic Conservation ◽

One Space Dimension

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Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2017.05.025 ◽

2017 ◽

Vol 345 ◽

pp. 427-461 ◽

Cited By ~ 62

Author(s):

Tianheng Chen ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Quadrature Rules ◽

Galerkin Methods ◽

Hyperbolic Conservation ◽

Entropy Stable

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Review Article:Review of Entropy Stable Discontinuous Galerkin Methods for Systems of Conservation Laws on Unstructured Simplex Meshes

CSIAM Transactions on Applied Mathematics ◽

10.4208/csiam-am.2020-0003 ◽

2020 ◽

Vol 1 (1) ◽

pp. 1-52 ◽

Cited By ~ 1

Author(s):

Tianheng Chen & Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Systems Of Conservation Laws ◽

Entropy Stable

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