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Hornischer, Niklas

Niklas Hornischer

M.Sc.

Research assistant
Institute of Applied Analysis and Numerical Simulation
Chair Computational Mathematics for Complex Simulation in Science and Engineering

Contact

+49 711 685 60144
+49 711 685 52022
Email

Allmandring 5b
70569 Stuttgart
Deutschland
Room: 1.43

Publications

N. Hornischer, “Model Order Reduction with Dynamically Transformed Modes for Electrophysiological Simulations,” GAMM Archive for Students, vol. 5, Art. no. 1, Sep. 2023, doi: 10.14464/gammas.v5i1.590.
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BibTeX
@article{hornischer2023model, abstract = {The numerical simulation of neuromuscular processes in skeletal muscles typically imposes high computational costs, resulting in the need for techniques to reduce these costs. One submodel in these types of multiphysics multiscale simulations is the electrophysiological model, describing the propagation of an action potential (AP) in a muscle fiber. Involved in the simulation of the propagation are two traveling waves, resulting in difficulties for classical model order reduction (MOR) techniques based on linear subspaces.Instead, we apply the nonlinear MOR method shifted Proper Orthogonal Decomposition (sPOD) to construct dynamically transformed reduced basis functions depending on time-dependent paths spanning the adaptive reduced ansatz space.Our numerical experiments demonstrate that the constructed reduced ansatz space can accurately capture the dynamics of two fully separated wavefronts and reduce the degrees of freedom of the whole simulation. However, it cannot represent the activation of the AP in the center of the fiber and overlapping wave parts. The constructed reduced order model outperforms the high-dimensional full order model in terms of the computational costs while the accuracy is maintained and reaches speedup factors between 2 and 73 depending on the time discretization.}, author = {Hornischer, Niklas}, doi = {10.14464/gammas.v5i1.590}, journal = {GAMM Archive for Students}, month = {09}, number = 1, title = {Model Order Reduction with Dynamically Transformed Modes for Electrophysiological Simulations}, url = {https://www.bibliothek.tu-chemnitz.de/ojs/index.php/GAMMAS/article/view/590}, volume = 5, year = 2023 }
Link
https://www.bibliothek.tu-chemnitz.de/ojs/index.php/GAMMAS/article/view/590
J. Kässinger, D. Rosin, F. Dürr, N. Hornischer, O. Röhrle, and K. Rothermel, “Persival: Simulating Complex 3D Meshes on Resource-Constrained Mobile AR Devices Using Interpolation,” in 2022 IEEE 42nd International Conference on Distributed Computing Systems (ICDCS), 2022, pp. 961–971. doi: 10.1109/ICDCS54860.2022.00097.
- BibTeX
BibTeX
@inproceedings{9912232, author = {Kässinger, Johannes and Rosin, David and Dürr, Frank and Hornischer, Niklas and Röhrle, Oliver and Rothermel, Kurt}, booktitle = {2022 IEEE 42nd International Conference on Distributed Computing Systems (ICDCS)}, doi = {10.1109/ICDCS54860.2022.00097}, pages = {961-971}, title = {Persival: Simulating Complex 3D Meshes on Resource-Constrained Mobile AR Devices Using Interpolation}, year = 2022 }

Vita

Since 2025	Doctoral researcher University of Stuttgart
2022-2025	Master of Science in Simulation Technology University of Stuttgart Thesis: “Quantification of Uncertainties within Linear and Nonlinear Microstructure Materials using Surrogate Modelling” Supervisor: Prof. Dr.-Ing. Felix Fritzen
April 2023 - September 2023	Visiting researcher University of Cambridge Supervisor: Garth Wells
2018 - 2022	Bachelor of Science in Simulation Technology University of Stuttgart Thesis: “Model Order Reduction with Transformed Modes for Electrophysiological Simulations" Supervisor: Prof. Dominik Göddeke

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Niklas Hornischer

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Niklas Hornischer

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BibTeX

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