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Discontinuous Galerkin Methods for the Vlasov–Stokes System

Discontinuous Galerkin Methods for the Vlasov–Stokes System

Abstract This paper develops and analyses a semi-discrete numerical method for the two-dimensional Vlasov–Stokes system with periodic boundary condition. The method is based on the coupling of the semi-discrete discontinuous Galerkin method for the Vlasov equation with discontinuous Galerkin scheme for the stationary incompressible Stokes equation. The proposed method is …