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Very high order PNPM schemes on unstructured meshes for the resistive relativistic MHD equations
Authors:Michael Dumbser  Olindo Zanotti
Institution:1. Laboratory of Applied Mathematics, University of Trento, Via Mesiano 77, I-38100 Trento, Italy;2. Max-Planck-Institut für Gravitationsphysik, Albert Einstein Institut, Am Mühlenberg 1, D-14476 Golm, Germany
Abstract:In this paper we propose the first better than second order accurate method in space and time for the numerical solution of the resistive relativistic magnetohydrodynamics (RRMHD) equations on unstructured meshes in multiple space dimensions. The nonlinear system under consideration is purely hyperbolic and contains a source term, the one for the evolution of the electric field, that becomes stiff for low values of the resistivity.
Keywords:Resistive relativistic magnetohydrodynamics  Unstructured meshes  Stiff source terms  High order finite volume and discontinuous Galerkin methods  PNPMPNPM schemes" target="_blank">gif" overflow="scroll">PNPM schemes
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