Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Fengyan Li; Chi-Wang Shu

doi:10.1007/s10915-004-4146-4

Locally Divergence-Free Discontinuous Galerkin Methods for MHD Equations

Journal of Scientific Computing ◽

10.1007/s10915-004-4146-4 ◽

2005 ◽

Vol 22-23 (1-3) ◽

pp. 413-442 ◽

Cited By ~ 77

Author(s):

Fengyan Li ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Divergence Free

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Locally divergence-free central discontinuous Galerkin methods for ideal MHD equations

Journal of Computational Science ◽

10.1016/j.jocs.2012.05.002 ◽

2013 ◽

Vol 4 (1-2) ◽

pp. 80-91 ◽

Cited By ~ 16

Author(s):

Sergey Yakovlev ◽

Liwei Xu ◽

Fengyan Li

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field

Journal of Computational Physics ◽

10.1016/j.jcp.2011.03.006 ◽

2011 ◽

Vol 230 (12) ◽

pp. 4828-4847 ◽

Cited By ~ 55

Author(s):

Fengyan Li ◽

Liwei Xu ◽

Sergey Yakovlev

Keyword(s):

Magnetic Field ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Arbitrary order exactly divergence-free central discontinuous Galerkin methods for ideal MHD equations

Journal of Computational Physics ◽

10.1016/j.jcp.2011.12.016 ◽

2012 ◽

Vol 231 (6) ◽

pp. 2655-2675 ◽

Cited By ~ 39

Author(s):

Fengyan Li ◽

Liwei Xu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Arbitrary Order ◽

Mhd Equations ◽

Galerkin Methods ◽

Ideal Mhd ◽

Divergence Free ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

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Provably physical-constraint-preserving discontinuous Galerkin methods for multidimensional relativistic MHD equations

Numerische Mathematik ◽

10.1007/s00211-021-01209-4 ◽

2021 ◽

Author(s):

Kailiang Wu ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Mhd Equations ◽

Galerkin Methods ◽

Physical Constraint

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High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2016.04.025 ◽

2016 ◽

Vol 307 ◽

pp. 339-361 ◽

Cited By ~ 73

Author(s):

Christoph Lehrenfeld ◽

Joachim Schöberl

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Incompressible Flows ◽

High Order ◽

Galerkin Methods ◽

Divergence Free

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Discontinuous Galerkin methods for equations with divergence-free solutionspreliminary results

Computational Fluid and Solid Mechanics 2003 ◽

10.1016/b978-008044046-0/50465-6 ◽

2003 ◽

pp. 1900-1902

Author(s):

B COCKBURN ◽

F LI ◽

C SHU

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Divergence Free

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Piecewise divergence-free discontinuous Galerkin methods for Stokes flow

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.975 ◽

2006 ◽

Vol 24 (5) ◽

pp. 355-366 ◽

Cited By ~ 12

Author(s):

Peter Hansbo ◽

Mats G. Larson

Keyword(s):

Discontinuous Galerkin ◽

Stokes Flow ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Divergence Free

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Locally divergence-free discontinuous Galerkin methods for the Maxwell equations

Journal of Computational Physics ◽

10.1016/j.jcp.2003.09.007 ◽

2004 ◽

Vol 194 (2) ◽

pp. 588-610 ◽

Cited By ~ 173

Author(s):

Bernardo Cockburn ◽

Fengyan Li ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Maxwell Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Divergence Free

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Discontinuous Galerkin methods for equations with divergence-free solutions

Computational Fluid and Solid Mechanics 2003 ◽

10.1016/b978-008044046-0.50465-6 ◽

2003 ◽

pp. 1900-1902

Author(s):

Bernardo Cockburn ◽

Fengyan Li ◽

Chi-Wang Shu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Divergence Free

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Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1716 ◽

2008 ◽

Vol 57 (9) ◽

pp. 1071-1092 ◽

Cited By ~ 44

Author(s):

A. Montlaur ◽

S. Fernandez‐Mendez ◽

A. Huerta

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Stokes Equations ◽

Galerkin Methods ◽

Divergence Free

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