26 citations · 91 across the 8 of their papers we have counts for
3 papers · 1 filter
Error control for statistical solutions
Jan Giesselmann, Fabian Meyer, Christian Rohde
Statistical solutions have recently been introduced as a an alternative solution framework for hyperbolic systems of conservation laws. In this work we derive a novel a posteriori…
An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws
Jan Giesselmann, Fabian Meyer, Christian Rohde
We present an a posteriori error analysis for one-dimensional random hyperbolic systems of conservation laws. For the discretization of the random space we consider the Non-Intrusi…
A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws
Jan Giesselmann, Fabian Meyer, Christian Rohde
In this article we consider one-dimensional random systems of hyperbolic conservation laws. We first establish existence and uniqueness of random entropy admissible solutions for i…