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)

Parallelising Computational Microstructure Simulations for Metallic Materials with OpenMP. - Ralph Altenfeld; Markus Apel; Dieter an Mey; Bernd Böttger; Stefan Benke; Christian H. Bischof (IWOMP, 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; et al. (Prod. Eng., 2011)

On Theory-training Neural Networks to Infer the Solution of Highly Coupled Differential Equations. - M. Torabi Rad; Alexandre Viardin; Markus Apel (CoRR, 2021)

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)

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)

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 (Eng. Comput., 2025)

A Physics-Informed Meta-Learning Framework for the Continuous Solution of Parametric PDEs on Arbitrary Geometries. - Reza Najian Asl; Yusuke Yamazaki; Kianoosh Taghikhani; Mayu Muramatsu; Markus Apel; Shahed Rezaei (CoRR, 2025)