Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

J. L. Bona; H. Chen; O. Karakashian; Y. Xing

doi:10.1090/s0025-5718-2013-02661-0

Conservative, discontinuous Galerkin–methods for the generalized Korteweg–de Vries equation

Mathematics of Computation ◽

10.1090/s0025-5718-2013-02661-0 ◽

2013 ◽

Vol 82 (283) ◽

pp. 1401-1432 ◽

Cited By ~ 58

Author(s):

J. L. Bona ◽

H. Chen ◽

O. Karakashian ◽

Y. Xing

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

Galerkin Methods ◽

De Vries

A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation

Mathematics of Computation ◽

10.1090/s0025-5718-2014-02878-0 ◽

2014 ◽

Vol 84 (293) ◽

pp. 1145-1167 ◽

Cited By ~ 6

Author(s):

Ohannes Karakashian ◽

Charalambos Makridakis

Keyword(s):

Error Estimates ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

Galerkin Methods ◽

A Posteriori ◽

A Posteriori Error ◽

De Vries

Central Discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation

Communications in Computational Physics ◽

10.4208/cicp.oa-2019-0099 ◽

2020 ◽

Vol 28 (3) ◽

pp. 927-966

Author(s):

Mengjiao Jiao

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Vries Equation ◽

Galerkin Methods ◽

De Vries ◽

Central Discontinuous Galerkin ◽

Central Discontinuous Galerkin Methods

Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

Communications in Computational Physics ◽

10.4208/cicp.oa-2017-0204 ◽

2019 ◽

Vol 25 (2) ◽

Cited By ~ 4

Author(s):

Qian Zhang ◽

Yinhua Xia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Local Discontinuous Galerkin ◽

Local Discontinuous Galerkin Methods ◽

De Vries

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

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 ◽

Maxwell System

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 ◽

Cited By ~ 3

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

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 ◽

Cited By ~ 5

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

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

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

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