32 citations · 86 across the 6 of their papers we have counts for
7 papers
Improved a posteriori Error Bounds for Reduced port-Hamiltonian Systems
Johannes Rettberg, Dominik Wittwar, Patrick Buchfink +3
Projection-based model order reduction of dynamical systems usually introduces an error between the high-fidelity model and its counterpart of lower dimension. This unknown error c…
Port-Hamiltonian Fluid-Structure Interaction Modeling and Structure-Preserving Model Order Reduction of a Classical Guitar
Johannes Rettberg, Dominik Wittwar, Patrick Buchfink +4
A fluid-structure interaction model in a port-Hamiltonian representation is derived for a classical guitar. We combine the laws of continuum mechanics for solids and fluids within…
Kernel methods for center manifold approximation and a data-based version of the Center Manifold Theorem
Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin +1
For dynamical systems with a non hyperbolic equilibrium, it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows…
Greedy Kernel Methods for Center Manifold Approximation
Bernard Haasdonk, Boumediene Hamzi, Gabriele Santin +1
For certain dynamical systems it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows to isolate the complicated…
Greedy regularized kernel interpolation
Gabriele Santin, Dominik Wittwar, Bernard Haasdonk
Kernel based regularized interpolation is a well known technique to approximate a continuous multivariate function using a set of scattered data points and the corresponding functi…
Interpolation with uncoupled separable matrix-valued kernels
Dominik Wittwar, Gabriele Santin, Bernard Haasdonk
In this paper we consider the problem of approximating vector-valued functions over a domain . For this purpose, we use matrix-valued reproducing kernels, which can be related t…
Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario
Markus Köppel, Fabian Franzelin, Ilja Kröker +8
A variety of methods is available to quantify uncertainties arising with\-in the modeling of flow and transport in carbon dioxide storage, but there is a lack of thorough compariso…