Markus Apel

According to our database, Markus Apel authored at least 8 papers between 2009 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Finite Operator Learning: Bridging Neural Operators and Numerical Methods for Efficient Parametric Solution and Optimization of PDEs.

Shahed Rezaei, Reza Najian Asl, Kianoosh Taghikhani, Ahmad Moeineddin, Michael Kaliske, Markus Apel

CoRR, 2024

A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains.

Yusuke Yamazaki, Ali Harandi, Mayu Muramatsu, Alexandre Viardin, Markus Apel, Tim Brepols, Stefanie Reese, Shahed Rezaei

CoRR, 2024

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

Shahed Rezaei, Shirko Faroughi, Mahdi Asgharzadeh, Ali Harandi, Gottfried Laschet, Stefanie Reese, Markus Apel

CoRR, 2024

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

Shahed Rezaei, Ahmad Moeineddin, Michael Kaliske, Markus Apel

CoRR, 2024

2021

On Theory-training Neural Networks to Infer the Solution of Highly Coupled Differential Equations.

M. Torabi Rad, Alexandre Viardin, Markus Apel

CoRR, 2021

2011

Towards integrative computational materials engineering of steel components.

Georg J. Schmitz, Stefan Benke, Gottfried Laschet, Markus Apel, Ulrich Prahl, Patrick Fayek, Sergey Konovalov, Jenny Rudnizki, Hendrik Quade, Stephan Freyberger, Thomas Henke, Markus Bambach, Eduardo A. Rossiter, Ulrich Jansen, Urs Eppelt

Prod. Eng., 2011

Parallelising Computational Microstructure Simulations for Metallic Materials with OpenMP.

Ralph Altenfeld, Markus Apel, Dieter an Mey, Bernd Böttger, Stefan Benke, Christian H. Bischof

Proceedings of the OpenMP in the Petascale Era - 7th International Workshop on OpenMP, 2011

2009

Phase-field simulation of microstructure formation in technical castings - A self-consistent homoenthalpic approach to the micro-macro problem.

Bernd Böttger, Janin Eiken, Markus Apel

J. Comput. Phys., 2009