Jun 4, 2013 · In this paper, we propose a DG approach to solve front propagation problems with obstacles. The scheme is explicit in time, and the obstacles ...
Oct 12, 2012 · Abstract. We are interested in front propagation problems in the presence of obstacles. We extend a previous work (Bokanowski, Cheng and Shu ...
Our strategy will be mainly to use stability estimates of Zhang and Shu [22] for linear equations, and extend them to the obstacle case (under a CFL condition ...
The DG scheme is motivated by the variational formulation when the Hamiltonian H is a linear function of ∇u, corresponding to linear convection problems in ...
We are interested in front propagation problems in the presence of obstacles. We extend a previous work (Bokanowski, Cheng and Shu [6]), to propose a simple ...
People also ask
What is the discontinuous Galerkin method?
What are the advantages of discontinuous Galerkin?
A simple and direct discontinuous Galerkin (DG) method adapted to front propagation problems in the presence of obstacles and stability analysis is ...
The DG scheme is motivated by the variational formulation when the Hamiltonian H is a linear function of ∇u, corresponding to linear convection problems in ...
2010. In this paper we propose a new local discontinuous Galerkin method to directly solve Hamilton-Jacobi equations. The scheme is a natural extension of ...
Sep 23, 2014 · We study semi-Lagrangian discontinuous Galerkin (SLDG) and Runge-Kutta discontinuous Galerkin (RKDG) schemes for some front propagation problems ...
In this paper, we construct arbitrarily high order accurate DG schemes which preserve positivity of the radiative intensity in the simulation of both steady and ...