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[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.
  • Classification : 65M12, 65M60, 26A33
  • Author(s) :
    • Afaf Bouharguane (Université de Bordeaux/INRIA)
    • Afaf Bouharguane (University of Bordeaux)
    • Nour Seloula (University of Caen)