26 citations · 91 across the 8 of their papers we have counts for
8 papers
Space-time stochastic Galerkin boundary elements for acoustic scattering problems
Heiko Gimperlein, Fabian Meyer, Ceyhun Özdemir
Acoustic emission or scattering problems naturally involve uncertainties about the sound sources or boundary conditions. This article initiates the study of time domain boundary el…
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…
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…
Time domain boundary elements for dynamic contact problems
Heiko Gimperlein, Fabian Meyer, Ceyhun Oezdemir +1
This article considers a unilateral contact problem for the wave equation. The problem is reduced to a variational inequality for the Dirichlet-to-Neumann operator for the wave equ…
Boundary elements with mesh refinements for the wave equation
Heiko Gimperlein, Fabian Meyer, Ceyhun Oezdemir +2
The solution of the wave equation in a polyhedral domain in admits an asymptotic singular expansion in a neighborhood of the corners and edges. In this article we fo…
A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method
Jan Giesselmann, Fabian Meyer, Christian Rohde
In this article we present an a posteriori error estimator for the spatial-stochastic error of a Galerkin-type discretisation of an initial value problem for a random hyperbolic co…