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Maseeh Colloquium: Discontinuous Galerkin Approximation to the Vlasov-Poisson System
Monday, January 27, 2014 - 3:15pm

The Maseeh Mathematics and Statistics Colloquium Series* present

Discontinuous Galerkin approximation to the Vlasov-Poisson system
by Blanca Ayuso de Dios, Ph.D., Center for Uncertainty Quantification in Computational Science & Engineering Division of Mathematics & Computer, Electrical and Mathematical Sciences & Engineering (CEMSE)
King Abdullah University of Science and Technology (KAUST), Saudi Arabia

Monday, January 27th, 2014 at 3:15pm 
Neuberger Hall room 454
(Refreshments served at 3:00 in presentation room)
This event is free and open to the public 

Abstract: 
One of the simplest model problems in the kinetic theory of plasma--physics is the Vlasov-Poisson system with periodic boundary conditions. Such system describes the evolution of a plasma of charged particles (electrons and ions) under the effects of the transport and self-consistent electric field. In this talk, we introduce a family of discontinuous Galerkin methods for the approximation of the Vlasov-Poisson system.

We shall discuss the error and convergence analysis and the properties of the proposed methods. We also present numerical experiments in the one dimensional case that validate the theory. In the last part of the talk, we shall discuss the possibility of combining the proposed methods with some dimension reduction techniques, such as sparse grids. 

The talk is based on joint works with Saverio Castelanelli (Zurich), J.A. Carrillo (Imperial College, UK), Soheil Hajian (Univ. Geneva) and Chi-Wang Shu (Brown University, US).