Analysis of the discontinuous Galerkin method for Hamilton—Jacobi equations

By Olga Lepsky, Changqing Hu, Chi-Wang Shu. 2000

60 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/205d2ddaa10e248a57a2310573a8d75ceb3e6f28

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Chi-Wang Shu
2. Bernardo Cockburn
3. Michael Dumbser
4. Jianxian Qiu
5. Yan Xu
6. Eleuterio F. Toro
7. Dominik Schötzau
8. Vladimir A. Titarev

In Numerical Analysis

1. Chi-Wang Shu
2. Bernardo Cockburn
3. Yan Xu
4. Michael Dumbser
5. Dominik Schötzau
6. Jianxian Qiu
7. Eleuterio F. Toro
8. Francis X. Giraldo

In Statistical and Nonlinear Physics

1. Bernardo Cockburn
2. Chi-Wang Shu
3. Fernando Lisboa Teixeira

Citations in the corpus

• HIGH ORDER NUMERICAL METHODS FOR TIME DEPENDENT HAMILTON-JACOBI EQUATIONS (2007, methodology): “the cell average of φ in each element), there are two different strategies developed in [18,24] which can be used: (1) By requiring that ∫”
• Hermite WENO schemes for Hamilton-Jacobi equations (2005, unknown): “Finite element methods suitable for arbitrary triangulations were developed in [1,5,10,16].”
• Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments (2014, methodology): “Some analysis for this DG method (including L(2) stability for a specific class of the Hamiltonian H) is given in [42].”
• Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems (2001, methodology): “Thus, Section 2 is mainly related to the papers [49] and [48]; Section 3 to the papers [46], [41] and [51]; Section 4 to the papers [32], [42], and [43]; Section 5 to [107], [50], [33], and [88]; Section 6 to [72], [82] and [71]; finally, Section 7 to [47].”