Search Results for author: Markus Apel

Found 2 papers, 0 papers with code

A finite operator learning technique for mapping the elastic properties of microstructures to their mechanical deformations

no code implementations28 Mar 2024 Shahed Rezaei, Shirko Faroughi, Mahdi Asgharzadeh, Ali Harandi, Gottfried Laschet, Stefanie Reese, Markus Apel

Our method, inspired by operator learning and the finite element method, demonstrates the ability to train without relying on data from other numerical solvers.

Operator learning

Integration of physics-informed operator learning and finite element method for parametric learning of partial differential equations

no code implementations4 Jan 2024 Shahed Rezaei, Ahmad Moeineddin, Michael Kaliske, Markus Apel

We benchmark our methodology against the standard finite element method, demonstrating accurate yet faster predictions using the trained neural network for temperature and flux profiles.

Operator learning

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