Weekly Seminar
Entropy Stable Numerical Schemes for Kinetic Equations
Neeraj Sarna (RWTH Aachen University (Germany))
Thu, 21 Feb 2019 • 10:30-11:30h • Pontdriesch 14-16, Room 008 (SeMath)

Abstract

An appealing deterministic method of solving kinetic equations is a Galerkin type approach which involves approximating the solution in some finite dimensional space. In this talk, for initial boundary value problems, we develop a Galerkin method which preserve L2-stability of kinetic equations. We mainly focus on the linearised Boltzmann equation of rarefied gas dynamics and we use Hermite polynomials to approximation the solution along the velocity space. Through numerical examples we demonstrate the importance of L2-stability.