6 citations · 11 across the 5 of their papers we have counts for
10 papers · 1 filter
Sensitivity Calculus and its Numerical Implementation for Multi-D Hyperbolic Balance Laws
Olivia Dreßen, Michael Herty, Adrian Kolb +1
We investigate the sensitivity of solutions to multi-dimensional scalar balance laws with respect to perturbations of the initial data analytically and numerically. Reliable first-…
Discontinuous Galerkin schemes for multi-dimensional coupled hyperbolic systems
Niklas Kolbe, Siegfried Müller, Aleksey Sikstel
A novel class of Runge-Kutta discontinuous Galerkin schemes for coupled systems of conservation laws in multiple space dimensions that are separated by a fixed sharp interface is i…
High-dimensional stochastic finite volumes using the tensor train format
Juliette Dubois, Michael Herty, Siegfried Müller
A method for the uncertainty quantification of nonlinear hyperbolic conservation laws with many uncertain parameters is presented. The method combines stochastic finite volume meth…
A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
Niklas Kolbe, Siegfried Müller
A recently developed coupling strategy for two nonconservative hyperbolic systems is employed to investigate a collapsing vapor bubble embedded in a liquid near a solid. For this p…
Numerical schemes for coupled systems of nonconservative hyperbolic equations
Niklas Kolbe, Michael Herty, Siegfried Müller
A new linear relaxation system for nonconservative hyperbolic systems is introduced, in which a nonlocal source term accounts for the nonconservative product of the original system…
A central scheme for coupled hyperbolic systems
Michael Herty, Niklas Kolbe, Siegfried Müller
A novel numerical scheme to solve coupled systems of conservation laws is introduced. The scheme is derived based on a relaxation approach and does not require information on the L…
Model adaptation for hyperbolic balance laws
Jan Giesselmann, Hrishikesh Joshi, Siegfried Müller +1
In this work, we devise a model adaptation strategy for a class of model hierarchies consisting of two levels of model complexity. In particular, the fine model consists of a syste…
Central schemes for networked scalar conservation laws
Michael Herty, Niklas Kolbe, Siegfried Müller
We propose a novel scheme to numerically solve scalar conservation laws on networks without the necessity to solve Riemann problems at the junction. The scheme is derived using the…
Multiresolution-analysis for stochastic hyperbolic conservation laws
Michael Herty, Adrian Kolb, Siegfried Müller
A multiresolution analysis for solving stochastic conservation laws is proposed. Using a novel adaptation strategy and a higher dimensional deterministic problem, a discontinuous G…
Adaptive timestep control for nonstationary solutions of the Euler equations
Christina Steiner, Siegfried Müller, Sebastian Noelle
In this paper we continue our work on adaptive timestep control for weakly non- stationary problems. The core of the method is a space-time splitting of adjoint error representatio…