Papers Using PyGeoN

This page lists academic papers and research that use PyGeoN.

Publications

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 Repo: Link
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 Repo: Link
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 Repo: Link
Boon, Wietse M; Kraus, Johannes; Luber, Tom'avs; 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 Repo: Link

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
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 Repo: Link

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 Repo: Link
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 Repo: Link
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 Repo: Link

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