Papers Using PyGeoN
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This page lists academic papers and research that use PyGeoN.

Publications
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2025
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- Boon, Wietse M.; Franco, Nicola R.; Fumagalli, Alessio (2025). *Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum*. Computer Methods in Applied Mechanics and Engineering.
  DOI: `https://doi.org/10.1016/j.cma.2025.117759 <https://doi.org/10.1016/j.cma.2025.117759>`__
  Repo: `Link <https://github.com/compgeo-mox/conservative_ml_elasticity>`__
- Boon, Wietse Marijn; Fumagalli, Alessio; Nordbotten, Jan Martin; Yotov, Ivan (2025). *Multipoint stress mixed finite element methods for the linear Cosserat equations*. .
  DOI: `https://doi.org/10.48550/arXiv.2511.06861 <https://doi.org/10.48550/arXiv.2511.06861>`__
  Repo: `Link <https://github.com/compgeo-mox/cosserat>`__
- Boon, Wietse M.; Franco, Nicola R.; Fumagalli, Alessio; Zunino, Paolo (2025). *Deep learning based reduced order modeling of Darcy flow systems with local mass conservation*. International Journal for Numerical Methods in Engineering.
  DOI: `https://doi.org/10.48550/arXiv.2311.14554 <https://doi.org/10.48550/arXiv.2311.14554>`__
  Repo: `Link <https://github.com/compgeo-mox/conservative_ml>`__
- Boon, Wietse M; Kraus, Johannes; Luber, Tom\'a\vs; Lymbery, Maria (2025). *Fitted norm preconditioners for the Hodge Laplacian in mixed form*. arXiv preprint arXiv:2507.23586.
  DOI: `https://doi.org/10.48550/arXiv.2507.23586 <https://doi.org/10.48550/arXiv.2507.23586>`__
  Repo: `Link <https://github.com/wmboon/preconditioning_HodgeLaplace>`__

2024
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- Gatti, Federico; Bressan, Andrea; Fumagalli, Alessio; Gallipoli, Domenico; Lalicata, Leonardo Maria; Pittaluga, Simone; Tamellini, Lorenzo (2024). *Two Nitsche-based mixed finite element discretizations for the seepage problem in Richards' equation*. Computer Methods in Applied Mechanics and Engineering.
  DOI: `https://doi.org/10.1016/j.cma.2024.117368 <https://doi.org/10.1016/j.cma.2024.117368>`__
- Boon, Wietse M (2024). *Solvers for mixed finite element problems using Poincaré operators based on spanning trees*. arXiv preprint arXiv:2410.08830.
  DOI: `https://doi.org/10.48550/arXiv.2410.08830 <https://doi.org/10.48550/arXiv.2410.08830>`__
  Repo: `Link <https://github.com/wmboon/poincare>`__

2023
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- Boon, Wietse M.; Fumagalli, Alessio (2023). *A multipoint vorticity mixed finite element method for incompressible Stokes flow*. Applied Mathematics Letters.
  DOI: `https://doi.org/10.1016/j.aml.2022.108498 <https://doi.org/10.1016/j.aml.2022.108498>`__
  Repo: `Link <https://github.com/compgeo-mox/three_fields_stokes>`__
- Boon, Wietse M.; Fumagalli, Alessio; Scotti, Anna (2023). *Mixed and multipoint finite element methods for rotation-based poroelasticity*. SIAM Journal on Numerical Analysis.
  DOI: `https://doi.org/10.1137/22M154329X <https://doi.org/10.1137/22M154329X>`__
  Repo: `Link <https://github.com/compgeo-mox/rotation_based_biot>`__
- Boon, Wietse M.; Fumagalli, Alessio (2023). *A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes*. Journal of Scientific Computing.
  DOI: `https://doi.org/10.1007/s10915-023-02119-3 <https://doi.org/10.1007/s10915-023-02119-3>`__
  Repo: `Link <https://github.com/compgeo-mox/conservative_rom>`__

Citing PyGeoN
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If you use PyGeoN in your research, please cite it using the DOI:

.. image:: https://zenodo.org/badge/455087135.svg
   :target: https://zenodo.org/badge/latestdoi/455087135
   :alt: DOI

Contributing Your Paper
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If you have published work using PyGeoN, we'd love to add it to our list! 
Please submit a pull request to add your paper to the papers list.