[00962] Discontinuous Galerkin method for a high order nonlocal conservation law
Session Time & Room : 3D (Aug.23, 15:30-17:10) @E604
Type : Contributed Talk
Abstract : We consider a Direct Discontinuous Galerkin (DDG) method for solving a time dependent partial differential equation with convection-diffusion terms and a fractional operator of order $\alpha \in (1,2)$. This equation was introduced to describe dunes morphodynamics and was then used for signal processing. For the DDG method, suitable numerical fluxes are introduced. We prove nonlinear stability estimates along with convergence results. Numerical experiments are given to illustrate behaviors of solutions and to verify convergence order.
