Dirk Hartmann

I am a technology leader, industrial mathematician, and intrapreneur in the field of Simulation and Digital Twin. Currently, I hold the position of a Technical Fellow at Siemens Digital Industries Software, where I lead the Simcenter Technology Innovation Team. Additionally, I am a professor at TU Darmstadt, heading the chair of digital twins. Throughout my career at Siemens, I have taken on several leadership roles in research, innovation, and management, including leading a multi-million innovation program and technically leading the Simulation & Digital Twin field, managing a team of over 100 scientists at Siemens’ central Research and Pre-Development Department.

Enable anyone to predict all physical behaviors with a digital twin, to any required level of accuracy and within any required time.

My research focuses on efficient numerical methods for computational engineering and digital twins, with a strong focus on interactive and real-time applications. Recently, my interest has expanded to the field of scientific machine learning, combining machine learning techniques with classical numerical algorithms. Driven by the core belief that computational algorithms are the innovation backbone of the 21st century, I concentrate on developing innovative methods that allow us to boldly employ simulation where no one has used it before. Many of my innovations have resulted in novel products and have been recognized through various awards, such as the Werner-von-Siemens Top Innovator Award in 2019 and the Siemens Inventor of the Year Award in 2021.

If you are interested in working with me at Siemens Digital Industries Software or at TU Darmstadt, please check the Siemens Job Portal or my webpage at TU Darmstadt.

news

Jul 01, 2025	Dirk joined the TU Darmstadt as a cooperation professor building up the chair of Digital Twins.
May 23, 2023	Launched The Art of the Possible Siemens blog which journeys through the future of predictive engineering technologies.

selected publications

Digital Twin

Digital Twins - a golden age for industrial mathematics

Dirk Hartmann and Herman Van der Auweraer

J.Math.Industry, 2025

DOI Bib HTML PDF

@article{hartmann_digital_2025,
  title = {Digital {Twins} - a golden age for industrial mathematics},
  volume = {15},
  issn = {2190-5983},
  url = {https://mathematicsinindustry.springeropen.com/articles/10.1186/s13362-025-00170-3},
  doi = {10.1186/s13362-025-00170-3},
  number = {1},
  journal = {J.Math.Industry},
  author = {Hartmann, Dirk and {Van der Auweraer}, Herman},
  year = {2025},
  pub_note = {Publisher: Springer Science and Business Media LLC},
  dimensions = {true}
}

Solver

Fast 3D solvers for interactive computational mechanics

Stefan Gavranovic, Zain Hassan, Lukas Failer, and 1 more author

J.Math.Industry, 2024

DOI Bib HTML PDF

@article{gavranovic_fast_2024,
  title = {Fast {3D} solvers for interactive computational mechanics},
  volume = {14},
  issn = {2190-5983},
  url = {https://mathematicsinindustry.springeropen.com/articles/10.1186/s13362-024-00160-x},
  doi = {10.1186/s13362-024-00160-x},
  number = {1},
  journal = {J.Math.Industry},
  author = {Gavranovic, Stefan and Hassan, Zain and Failer, Lukas and Hartmann, Dirk},
  year = {2024},
  pub_note = {Publisher: Springer Science and Business Media LLC},
  dimensions = {true}
}

SciML

Active-learning-based nonintrusive model order reduction

Qinyu Zhuang, Dirk Hartmann, Hans-Joachim Bungartz, and 1 more author

DCE, 2023

DOI Bib HTML PDF

@article{zhuang_active-learning-based_2023,
  title = {Active-learning-based nonintrusive model order reduction},
  volume = {4},
  issn = {2632-6736},
  url = {https://www.cambridge.org/core/product/identifier/S2632673622000399/type/journal_article},
  doi = {10.1017/dce.2022.39},
  journal = {DCE},
  author = {Zhuang, Qinyu and Hartmann, Dirk and Bungartz, Hans-Joachim and Lorenzi, Juan M.},
  year = {2023},
  pub_note = {Publisher: Cambridge University Press (CUP)},
  dimensions = {true}
}

SciML

A neural network multigrid solver for the Navier-Stokes equations

Nils Margenberg, Dirk Hartmann, Christian Lessig, and 1 more author

Journal of Computational Physics, 2022

DOI Bib Preprint

@article{margenberg_neural_2022,
  title = {A neural network multigrid solver for the {Navier}-{Stokes} equations},
  volume = {460},
  issn = {0021-9991},
  url = {https://linkinghub.elsevier.com/retrieve/pii/S0021999122000456},
  doi = {10.1016/j.jcp.2022.110983},
  urldate = {2025-07-07},
  journal = {Journal of Computational Physics},
  author = {Margenberg, Nils and Hartmann, Dirk and Lessig, Christian and Richter, Thomas},
  year = {2022},
  pub_note = {Publisher: Elsevier BV},
  pages = {110983},
  preprint = {https://arxiv.org/pdf/2008.11520},
  dimensions = {true}
}

SciML

Model order reduction based on Runge–Kutta neural networks

Qinyu Zhuang, Juan Manuel Lorenzi, Hans-Joachim Bungartz, and 1 more author

DCE, 2021

DOI Bib HTML PDF

@article{zhuang_model_2021,
  title = {Model order reduction based on {Runge}–{Kutta} neural networks},
  volume = {2},
  issn = {2632-6736},
  url = {https://www.cambridge.org/core/product/identifier/S2632673621000150/type/journal_article},
  doi = {10.1017/dce.2021.15},
  journal = {DCE},
  author = {Zhuang, Qinyu and Lorenzi, Juan Manuel and Bungartz, Hans-Joachim and Hartmann, Dirk},
  year = {2021},
  pub_note = {Publisher: Cambridge University Press (CUP)},
  dimensions = {true}
}

Manufacturing

Combined offline simulation and online adaptation approach for the accuracy improvement of milling robots

Michael F. Zaeh, Florian Schnoes, Birgit Obst, and 1 more author

CIRP Annals, 2020

DOI Bib

@article{zaeh_combined_2020,
  title = {Combined offline simulation and online adaptation approach for the accuracy improvement of milling robots},
  volume = {69},
  issn = {0007-8506},
  url = {https://linkinghub.elsevier.com/retrieve/pii/S0007850620300676},
  doi = {10.1016/j.cirp.2020.04.045},
  number = {1},
  journal = {CIRP Annals},
  author = {Zaeh, Michael F. and Schnoes, Florian and Obst, Birgit and Hartmann, Dirk},
  year = {2020},
  pub_note = {Publisher: Elsevier BV},
  pages = {337--340},
  dimensions = {true}
}

Digital Twin

Model Order Reduction a Key Technology for Digital Twins

Dirk Hartmann, Matthias Herz, and Utz Wever

In Reduced-Order Modeling (ROM) for Simulation and Optimization, 2018

DOI Bib

@incollection{hartmann_model_2018,
  address = {Cham},
  title = {Model {Order} {Reduction} a {Key} {Technology} for {Digital} {Twins}},
  isbn = {978-3-319-75318-8 978-3-319-75319-5},
  url = {http://link.springer.com/10.1007/978-3-319-75319-5_8},
  booktitle = {Reduced-{Order} {Modeling} ({ROM}) for {Simulation} and {Optimization}},
  publisher = {Springer International Publishing},
  author = {Hartmann, Dirk and Herz, Matthias and Wever, Utz},
  year = {2018},
  doi = {10.1007/978-3-319-75319-5_8},
  pages = {167--179},
  dimensions = {true}
}

MechBio

A Mechanochemical Model for Embryonic Pattern Formation: Coupling Tissue Mechanics and Morphogen Expression

Moritz Mercker, Dirk Hartmann, and Anna Marciniak-Czochra

PLoS ONE, 2013

DOI Bib HTML PDF

@article{mercker_mechanochemical_2013,
  title = {A {Mechanochemical} {Model} for {Embryonic} {Pattern} {Formation}: {Coupling} {Tissue} {Mechanics} and {Morphogen} {Expression}},
  volume = {8},
  issn = {1932-6203},
  shorttitle = {A {Mechanochemical} {Model} for {Embryonic} {Pattern} {Formation}},
  url = {https://dx.plos.org/10.1371/journal.pone.0082617},
  doi = {10.1371/journal.pone.0082617},
  number = {12},
  urldate = {2025-07-07},
  journal = {PLoS ONE},
  author = {Mercker, Moritz and Hartmann, Dirk and Marciniak-Czochra, Anna},
  editor = {Kabla, Alexandre J.},
  year = {2013},
  pub_note = {Publisher: Public Library of Science (PLoS)},
  pages = {e82617},
  dimensions = {true}
}

PedDyn

Adaptive pedestrian dynamics based on geodesics

Dirk Hartmann

New J. Phys., 2010

DOI Bib PDF

@article{hartmann_adaptive_2010,
  title = {Adaptive pedestrian dynamics based on geodesics},
  volume = {12},
  issn = {1367-2630},
  url = {https://iopscience.iop.org/article/10.1088/1367-2630/12/4/043032},
  doi = {10.1088/1367-2630/12/4/043032},
  number = {4},
  urldate = {2025-07-07},
  journal = {New J. Phys.},
  author = {Hartmann, Dirk},
  year = {2010},
  pub_note = {Publisher: IOP Publishing},
  pages = {043032},
  dimensions = {true}
}

MechBio

A multiscale model for red blood cell mechanics

Dirk Hartmann

Biomech Model Mechanobiol, 2010

DOI Bib

@article{hartmann_multiscale_2010,
  title = {A multiscale model for red blood cell mechanics},
  volume = {9},
  issn = {1617-7959, 1617-7940},
  url = {http://link.springer.com/10.1007/s10237-009-0154-5},
  doi = {10.1007/s10237-009-0154-5},
  number = {1},
  urldate = {2025-07-07},
  journal = {Biomech Model Mechanobiol},
  author = {Hartmann, Dirk},
  year = {2010},
  pub_note = {Publisher: Springer Science and Business Media LLC},
  pages = {1--17},
  dimensions = {true}
}