Discontinuous Galerkin Methods for Friedrichs’ Systems

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-34288-5_5 ◽

2007 ◽

pp. 79-96

Author(s):

Alexandre Ern ◽

Jean-Luc Guermond

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Friedrichs Systems

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Discontinuous Galerkin Methods for Friedrichs’ Systems. Part II. Second‐order Elliptic PDEs

SIAM Journal on Numerical Analysis ◽

10.1137/05063831x ◽

2006 ◽

Vol 44 (6) ◽

pp. 2363-2388 ◽

Author(s):

Alexandre Ern ◽

Jean‐Luc Guermond

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Second Order ◽

Elliptic Pdes ◽

Galerkin Methods ◽

Friedrichs Systems

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Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity

SIAM Journal on Numerical Analysis ◽

10.1137/060664045 ◽

2008 ◽

Vol 46 (2) ◽

pp. 776-804 ◽

Author(s):

Alexandre Ern ◽

Jean-Luc Guermond

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Multifield Theories ◽

Friedrichs Systems

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Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory

SIAM Journal on Numerical Analysis ◽

10.1137/050624133 ◽

2006 ◽

Vol 44 (2) ◽

pp. 753-778 ◽

Author(s):

A. Ern ◽

J. L. Guermond

Keyword(s):

General Theory ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Friedrichs Systems

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Device Modeling Using Discontinuous Galerkin Methods for Fluid Plasmas

40th AIAA Plasmadynamics and Lasers Conference ◽

10.2514/6.2009-3834 ◽

2009 ◽

Author(s):

John Loverich ◽

Ammar Hakim

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Device Modeling ◽

Galerkin Methods

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Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system

10.31274/etd-180810-5144 ◽

2017 ◽

Author(s):

Pierson Guthrey

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

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A Comparison of the Explicit and Implicit Hybridizable Discontinuous Galerkin Methods for Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-01007-z ◽

2019 ◽

Vol 80 (3) ◽

pp. 1936-1956 ◽

Author(s):

Ali Samii ◽

Kazbek Kazhyken ◽

Craig Michoski ◽

Clint Dawson

Keyword(s):

Shallow Water ◽

Discontinuous Galerkin ◽

Shallow Water Equations ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Hybridizable Discontinuous Galerkin ◽

Nonlinear Shallow Water Equations ◽

Hybridizable Discontinuous Galerkin Methods

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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554251403004x ◽

2014 ◽

Vol 54 (3) ◽

pp. 474-490 ◽

Author(s):

R. Z. Dautov ◽

E. M. Fedotov

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Problems ◽

Second Order ◽

Galerkin Methods ◽

Abstract Theory ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods ◽

Quasilinear Elliptic Problems ◽

Quasilinear Elliptic

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Local-Maximum-and-Minimum-Preserving Solution Remapping Technique to Accelerate Flow Convergence for Discontinuous Galerkin Methods in Shape Optimization Design

Journal of Scientific Computing ◽

10.1007/s10915-021-01499-8 ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Jufang Wang ◽

Tiegang Liu

Keyword(s):

Shape Optimization ◽

Discontinuous Galerkin ◽

Optimization Design ◽

Discontinuous Galerkin Methods ◽

Local Maximum ◽

Galerkin Methods ◽

Accelerate Flow ◽

Flow Convergence

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Local Discontinuous Galerkin Methods to a Dispersive System of KdV-Type Equations

Journal of Scientific Computing ◽

10.1007/s10915-020-01370-2 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Chao Zhang ◽

Yan Xu ◽

Yinhua Xia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

Dispersive System ◽

Kdv Type Equations

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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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