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Constructing Discontinuous Galerkin methods for Vlasov-type systems

Presented by: 
Blanca Ayuso De Dios
Wednesday 18th September 2019 - 14:05 to 14:50
INI Seminar Room 2
The Vlasov-Poisson and the Vlasov-Maxwell systems are two classical models in collisionless kinetic theory. They are both derived as mean-field limit description of a large ensemble of interacting particles by  electrostatic and electro-magnetic forces, respectively.
In this talk we describe how to design (semi-discrete!) discontinuous Galerkin finite element methods for approximating such Vlasov-type systems. We outline the error analysis of the schemes and discuss further properties of the proposed schemes, as well as their shortcomings.
If time allows, we discuss further endeavours in alleviating the drawbacks of the schemes. 

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons