An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics

Xiaofeng Cai, Jing-Mei Qiu, Yang Yang

We propose a new Eulerian-Lagrangian (EL) discontinuous Galerkin (DG) method. The method is designed as a generalization of the semi-Lagrangian (SL) DG method for linear advection…