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

Higher Order ◽

Galerkin Methods ◽

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 ◽

Hyperbolic Systems ◽

High Order ◽

Galerkin Methods ◽

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

Stabilization for discontinuous Galerkin methods applied to systems of conservation laws

10.1090/psapm/067.1/2605223 ◽

2009 ◽

pp. 253-268

Author(s):

Andreas Dedner ◽

Robert Klöfkorn

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Galerkin Methods ◽

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

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

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 ◽

Galerkin Methods ◽

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 ◽

Galerkin Methods ◽

Systems Of Conservation Laws ◽

Entropy Stable

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 ◽

Galerkin Methods ◽

Systems Of Conservation Laws ◽

Entropy Stable

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 ◽

Cited By ~ 10

Author(s):

Maojun Li ◽

Fengyan Li ◽

Zhen Li ◽

Liwei Xu

Keyword(s):

Maximum Principle ◽

Conservation Laws ◽

Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Positivity Preserving ◽

Hyperbolic Conservation ◽

Central Discontinuous Galerkin ◽

Lecture Notes in Computational Science and Engineering - Challenges in Scientific Computing - CISC 2002 ◽

Higher Order Discontinuous Galerkin Methods for Flow and Transport in Porous Media

10.1007/978-3-642-19014-8_1 ◽

2003 ◽

pp. 1-22 ◽

Cited By ~ 18

Author(s):

Peter Bastian

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Higher Order ◽

Galerkin Methods ◽

Flow And Transport ◽

Transport In Porous Media

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 ◽

Cited By ~ 44

Author(s):

Bernardo Cockburn

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Hyperbolic Conservation ◽

Non Linear

Implicit finite volume and discontinuous Galerkin methods for multicomponent flow in unstructured 3D fractured porous media

Advances in Water Resources ◽

10.1016/j.advwatres.2016.08.007 ◽

2016 ◽

Vol 96 ◽

pp. 389-404 ◽

Cited By ~ 24

Author(s):

Joachim Moortgat ◽

Mohammad Amin Amooie ◽

Mohamad Reza Soltanian

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Finite Volume ◽

Fractured Porous Media ◽

Galerkin Methods ◽

Multicomponent Flow

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 ◽

Cited By ~ 38

Author(s):

Joseph E. Flaherty ◽

Lilia Krivodonova ◽

Jean-Francois Remacle ◽

Mark S. Shephard

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Hyperbolic Conservation Laws ◽

Galerkin Methods ◽

Hyperbolic Conservation