Moving mesh discontinuous Galerkin methods for PDEs with traveling waves

作者：

Highlights：

• Moving mesh with discontinuous Galerkin method.

• Nonlinear 1D problems with traveling waves.

• Resolving sharp moving fronts and determination of correct wave speed.

• Uncoupling of the discretization and mesh equations.

摘要

•Moving mesh with discontinuous Galerkin method.•Nonlinear 1D problems with traveling waves.•Resolving sharp moving fronts and determination of correct wave speed.•Uncoupling of the discretization and mesh equations.

论文关键词：Moving mesh,Discontinuous Galerkin,Nonlinear PDEs,Traveling wave

论文评审过程：Received 9 February 2016, Accepted 18 July 2016, Available online 28 July 2016, Version of Record 28 July 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.07.034