Constructing Discontinuous Galerkin methods for Vlasov-type systems

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• Blanca Ayuso De Dios (Università degli Studi di Milano - Bicocca; Istituto di Matematica Applicata e Tecnologie Informatiche (IMATI))
• Wednesday 18 September 2019, 14:05-14:50
• Seminar Room 2, Newton Institute.

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GCS - Geometry, compatibility and structure preservation in computational differential equations

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. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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