The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law
Authors:
- Changpin LiCLChangpin Li
- Zhen WangZWZhen Wang
- 1 March 2020
- journal article
- research article
- Published by Elsevier in Mathematics and Computers in Simulation
- Vol. 169, 51-73
Abstract
No abstract availableKeywords
Funding Information
- National Natural Science Foundation of China (11671251)
This publication has 27 references indexed in Scilit:
- Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equationJournal of Computational Physics, 2017
- A posteriori error estimator based on derivative recovery for the discontinuous Galerkin method for nonlinear hyperbolic conservation laws on Cartesian gridsNumerical Methods for Partial Differential Equations, 2017
- Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equationNumerical Algorithms, 2014
- Local Discontinuous Galerkin methods for fractional diffusion equationsESAIM: Mathematical Modelling and Numerical Analysis, 2013
- Response of a diffusion‐wave system subjected to deterministic and stochastic fieldsZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2003
- Optimal a priori error estimates for the ℎ𝑝-version of the local discontinuous Galerkin method for convection–diffusion problemsMathematics of Computation, 2001
- From continuous time random walks to the fractional Fokker-Planck equationPhysical Review E, 2000
- The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws VJournal of Computational Physics, 1998
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systemsJournal of Computational Physics, 1989
- An implicit finite-difference algorithm for hyperbolic systems in conservation-law formJournal of Computational Physics, 1976