Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension

SIAM Journal on Numerical Analysis ◽

10.1137/110857635 ◽

2012 ◽

Vol 50 (5) ◽

pp. 2336-2356 ◽

Author(s):

Xiong Meng ◽

Chi-Wang Shu ◽

Qiang Zhang ◽

Boying Wu

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Space Dimension ◽

Galerkin Methods ◽

Nonlinear Conservation Laws ◽

One Space Dimension

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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 ◽

Galerkin Methods ◽

Hyperbolic Conservation ◽

One Space Dimension

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Optimal convergence and superconvergence of semi-Lagrangian discontinuous Galerkin methods for linear convection equations in one space dimension

Mathematics of Computation ◽

10.1090/mcom/3527 ◽

2020 ◽

Vol 89 (325) ◽

pp. 2113-2139 ◽

Author(s):

Yang Yang ◽

Xiaofeng Cai ◽

Jing-Mei Qiu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Space Dimension ◽

Galerkin Methods ◽

Optimal Convergence ◽

Convergence And Superconvergence ◽

One Space Dimension

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Error Control for a Class of Runge–Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/050624248 ◽

2007 ◽

Vol 45 (2) ◽

pp. 514-538 ◽

Author(s):

Andreas Dedner ◽

Charalambos Makridakis ◽

Mario Ohlberger

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Error Control ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Conservation Laws ◽

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Entropy Stable Discontinuous Galerkin Methods for Nonlinear Conservation Laws on Networks and Multi-Dimensional Domains

Journal of Scientific Computing ◽

10.1007/s10915-021-01464-5 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Xinhui Wu ◽

Jesse Chan

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Nonlinear Conservation Laws ◽

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Superconvergence analysis of local discontinuous Galerkin methods for linear convection–diffusion equations in one space dimension

Computational and Applied Mathematics ◽

10.1007/s40314-019-0777-9 ◽

2019 ◽

Vol 38 (1) ◽

Author(s):

Jun Zhang ◽

Xiangling Chen

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Space Dimension ◽

Diffusion Equations ◽

Galerkin Methods ◽

Convection Diffusion ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

One Space Dimension

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Maximum-Principle-Satisfying and Positivity-Preserving High Order Central Discontinuous Galerkin Methods for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/16m1070001 ◽

2016 ◽

Vol 38 (6) ◽

pp. A3720-A3740 ◽

Author(s):

Maojun Li ◽

Fengyan Li ◽

Zhen Li ◽

Liwei Xu

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Positivity Preserving ◽

Hyperbolic Conservation ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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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 ◽

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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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 ◽

Author(s):

Mi-Young Kim ◽

Eun-Jae Park ◽

Jaemin Shin

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Lagrange Multiplier ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Systems ◽

Galerkin Methods ◽

Systems Of Conservation Laws

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Devising discontinuous Galerkin methods for non-linear hyperbolic conservation laws

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(00)00512-4 ◽

2001 ◽

Vol 128 (1-2) ◽

pp. 187-204 ◽

Author(s):

Bernardo Cockburn

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Hyperbolic Conservation ◽

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Aspects of discontinuous Galerkin methods for hyperbolic conservation laws

Finite Elements in Analysis and Design ◽

10.1016/s0168-874x(02)00083-5 ◽

2002 ◽

Vol 38 (10) ◽

pp. 889-908 ◽

Author(s):

Joseph E. Flaherty ◽

Lilia Krivodonova ◽

Jean-Francois Remacle ◽

Mark S. Shephard

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Hyperbolic Conservation

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