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math.NA2025
Entropy stable high-order discontinuous Galerkin spectral-element methods on curvilinear, hybrid meshes
Jens Keim, Anna Schwarz, Patrick Kopper +3
Hyperbolic-parabolic partial differential equations are widely used for the modeling of complex, multiscale problems. High-order methods such as the discontinuous Galerkin (DG) sch…
math.NA2025
Entropy stable shock capturing for high-order DGSEM on moving meshes
Anna Schwarz, Jens Keim, Christian Rohde +1
In this paper, a shock capturing for high-order entropy stable discontinuous Galerkin spectral element methods on moving meshes is proposed using Gauss--Lobatto nodes. The shock ca…
math.NA2018
-Multilevel Monte Carlo Methods for Uncertainty Quantification of Compressible Flows
A. Beck, J. Dürrwächter, T. Kuhn +3
We propose a novel -multilevel Monte Carlo method for the quantification of uncertainties in the compressible Navier-Stokes equations, using the Discontinuous Galerkin method a…