4 papers
FLEXI: A high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws
Nico Krais, Andrea Beck, Thomas Bolemann +8
High order (HO) schemes are attractive candidates for the numerical solution of multiscale problems occurring in fluid dynamics and related disciplines. Among the HO discretization…
-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…
A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations
Jakob Dürrwächter, Thomas Kuhn, Fabian Meyer +2
Intrusive Uncertainty Quantification methods such as stochastic Galerkin are gaining popularity, whereas the classical stochastic Galerkin approach is not ensured to preserve hyper…
Optimal approximation of multivariate periodic Sobolev functions in the sup-norm
Fernando Cobos, Thomas Kühn, Winfried Sickel
Using tools from the theory of operator ideals and s-numbers, we develop a general approach to transfer estimates for -approximation of Sobolev functions into estimates for $…