A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations

Journal of Scientific Computing ◽

10.1007/s10915-009-9340-y ◽

2009 ◽

Vol 45 (1-3) ◽

pp. 404-428 ◽

Author(s):

Fengyan Li ◽

Sergey Yakovlev

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Jacobi Equations ◽

Central Discontinuous Galerkin

Download Full-text

An adaptive high-order discontinuous Galerkin method with error control for the Hamilton–Jacobi equations. Part I: The one-dimensional steady state case

Journal of Computational Physics ◽

10.1016/j.jcp.2007.05.003 ◽

2007 ◽

Vol 226 (1) ◽

pp. 1027-1058 ◽

Author(s):

Yanlai Chen ◽

Bernardo Cockburn

Keyword(s):

Steady State ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Error Control ◽

One Dimensional ◽

The One ◽

Jacobi Equations ◽

Download Full-text

A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.06.033 ◽

2019 ◽

Vol 345 ◽

pp. 374-387 ◽

Author(s):

Aimin Chen ◽

Maojun Li

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Positivity Preserving ◽

One Dimensional ◽

Nonlinear Shallow Water Equations ◽

The One ◽

Central Discontinuous Galerkin

Download Full-text

A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations

Journal of Scientific Computing ◽

10.1007/s10915-016-0329-z ◽

2016 ◽

Vol 71 (3) ◽

pp. 994-1034 ◽

Author(s):

Maojun Li ◽

Philippe Guyenne ◽

Fengyan Li ◽

Liwei Xu

Keyword(s):

Galerkin Method ◽

Shallow Water ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Shallow Water Equations ◽

Positivity Preserving ◽

Nonlinear Shallow Water Equations ◽

Central Discontinuous Galerkin

Download Full-text

A local discontinuous Galerkin method for directly solving Hamilton–Jacobi equations

Journal of Computational Physics ◽

10.1016/j.jcp.2010.09.022 ◽

2011 ◽

Vol 230 (1) ◽

pp. 232-244 ◽

Author(s):

Jue Yan ◽

Stanley Osher

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin ◽

Jacobi Equations

Download Full-text

Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions

SIAM Journal on Scientific Computing ◽

10.1137/18m1199496 ◽

2019 ◽

Vol 41 (3) ◽

pp. A1626-A1651 ◽

Author(s):

Zhanjing Tao ◽

Anqi Chen ◽

Mengping Zhang ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Hyperbolic Systems ◽

Sparse Grid ◽

High Dimensions ◽

Central Discontinuous Galerkin

Download Full-text

An h-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2013.1235nm ◽

2013 ◽

Vol 6 (4) ◽

pp. 617-636 ◽

Author(s):

Hongqiang Zhu and Jianxian Qiu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Runge Kutta ◽

Jacobi Equations

Download Full-text

An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110294 ◽

2021 ◽

pp. 110294

Author(s):

Wei Guo ◽

Juntao Huang ◽

Zhanjing Tao ◽

Yingda Cheng

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Sparse Grid ◽

High Dimensions ◽

Local Discontinuous Galerkin ◽

Jacobi Equations

Download Full-text

Analysis of the discontinuous Galerkin method for Hamilton–Jacobi equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00109-9 ◽

2000 ◽

Vol 33 (1-4) ◽

pp. 423-434 ◽

Author(s):

Olga Lepsky ◽

Changqing Hu ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Jacobi Equations

Download Full-text

Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton–Jacobi equations

Applied Mathematics Letters ◽

10.1016/j.aml.2004.10.009 ◽

2005 ◽

Vol 18 (11) ◽

pp. 1204-1209 ◽

Author(s):

Fengyan Li ◽

Chi-Wang Shu

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Jacobi Equations

Download Full-text

An Arbitrary Lagrangian–Eulerian Local Discontinuous Galerkin Method for Hamilton–Jacobi Equations

Journal of Scientific Computing ◽

10.1007/s10915-017-0471-2 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 906-942 ◽

Author(s):

Christian Klingenberg ◽

Gero Schnücke ◽

Yinhua Xia

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Arbitrary Lagrangian Eulerian ◽

Local Discontinuous Galerkin ◽

Jacobi Equations

Download Full-text