Abstract

CASTILLO, Paul  and  GOMEZ, Sergio. Von Neumann analysis for the Local Discontinuous Galerkin method in 1D. Integración - UIS [online]. 2019, vol.37, n.2, pp.199-217.  Epub Oct 10, 2019. ISSN 0120-419X.  https://doi.org/10.18273/revint.v37n2-2019001.

Using the von Neumann analysis as a theoretical tool, an analysis of the stability conditions of some explicit time marching schemes, in combination with the spatial discretization Local Discontinuous Galerkin (LDG) and high order approximations, is presented. The stability constant, CFL (Courant-Friedrichs-Lewy), is studied as a function of the LDG parameters and the approximation degree. A series of numerical experiments is carried out to validate the theoretical results.

Keywords : Von Neumann stability analysis; CFL; Local Discontinuous Galerkin (LDG).

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