Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Buchfink, Patrick"'
Autor:
Rettberg, Johannes, Kneifl, Jonas, Herb, Julius, Buchfink, Patrick, Fehr, Jörg, Haasdonk, Bernard
Conventional physics-based modeling techniques involve high effort, e.g., time and expert knowledge, while data-driven methods often lack interpretability, structure, and sometimes reliability. To mitigate this, we present a data-driven system identi
Externí odkaz:
http://arxiv.org/abs/2408.08185
Autor:
Herkert, Robin, Buchfink, Patrick, Wenzel, Tizian, Haasdonk, Bernard, Toktaliev, Pavel, Iliev, Oleg
We address the challenging application of 3D pore scale reactive flow under varying geometry parameters. The task is to predict time-dependent integral quantities, i.e., breakthrough curves, from the given geometries. As the 3D reactive flow simulati
Externí odkaz:
http://arxiv.org/abs/2405.19170
Solving high-dimensional dynamical systems in multi-query or real-time applications requires efficient surrogate modelling techniques, as e.g., achieved via model order reduction (MOR). If these systems are Hamiltonian systems their physical structur
Externí odkaz:
http://arxiv.org/abs/2405.10465
Using nonlinear projections and preserving structure in model order reduction (MOR) are currently active research fields. In this paper, we provide a novel differential geometric framework for model reduction on smooth manifolds, which emphasizes the
Externí odkaz:
http://arxiv.org/abs/2312.01963
For projection-based linear-subspace model order reduction (MOR), it is well known that the Kolmogorov n-width describes the best-possible error for a reduced order model (ROM) of size n. In this paper, we provide approximation bounds for ROMs on pol
Externí odkaz:
http://arxiv.org/abs/2312.00724
This work presents two novel approaches for the symplectic model reduction of high-dimensional Hamiltonian systems using data-driven quadratic manifolds. Classical symplectic model reduction approaches employ linear symplectic subspaces for represent
Externí odkaz:
http://arxiv.org/abs/2305.15490
Publikováno v:
Advances in Computational Mathematics, Volume 50, 2024
Classical model order reduction (MOR) for parametric problems may become computationally inefficient due to large sizes of the required projection bases, especially for problems with slowly decaying Kolmogorov n-widths. Additionally, Hamiltonian stru
Externí odkaz:
http://arxiv.org/abs/2303.18072
Autor:
Rettberg, Johannes, Wittwar, Dominik, Buchfink, Patrick, Herkert, Robin, Fehr, Jörg, Haasdonk, Bernard
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 can be bounded by residual-based methods, which are typically known to
Externí odkaz:
http://arxiv.org/abs/2303.17329
Simulations of large scale dynamical systems in multi-query or real-time contexts require efficient surrogate modelling techniques, as e.g. achieved via Model Order Reduction (MOR). Recently, symplectic methods like the complex singular value decompo
Externí odkaz:
http://arxiv.org/abs/2303.04036
Autor:
Rettberg, Johannes, Wittwar, Dominik, Buchfink, Patrick, Brauchler, Alexander, Ziegler, Pascal, Fehr, Jörg, Haasdonk, Bernard
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 a unified port-Hamiltonian (pH) modeling approach by adapting the disc
Externí odkaz:
http://arxiv.org/abs/2203.10061