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Luca Heltai

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2024
Piani S, Heltai L, Rotundo N, Lei W, Farrell P. Data-driven solutions of ill-posed inverse problems arising from doping reconstruction in semiconductors. Applied Mathematics in Science and Engineering [Internet]. 2024 ;32:2323626. Available from: https://doi.org/10.1080/27690911.2024.2323626
Feder M, Cangiani A, Heltai L. R3MG: R-tree based agglomeration of polytopal grids with applications to multilevel methods. [Internet]. 2024 . Available from: https://arxiv.org/abs/2404.18505
2023
Boffi D, Cangiani A, Feder M, Gastaldi L, Heltai L. A comparison of non-matching techniques for the finite element approximation of interface problemsImage 1. Computers & Mathematics with Applications [Internet]. 2023 ;151:101-115. Available from: https://www.sciencedirect.com/science/article/pii/S0898122123004029
Arndt D, Bangerth W, Bergbauer M, Feder M, Fehling M, Heinz J, Heister T, Heltai L, Kronbichler M, Maier M, et al. The deal.II Library, Version 9.5. Journal of Numerical Mathematics [Internet]. 2023 ;31:231–246. Available from: https://doi.org/10.1515/jnma-2023-0089
2022
Arndt D, Bangerth W, Feder M, Fehling M, Gassmöller R, Heister T, Heltai L, Kronbichler M, Maier M, Munch P, et al. The deal.II library, Version 9.4. Journal of Numerical Mathematics [Internet]. 2022 ;30:231–246. Available from: https://doi.org/10.1515/jnma-2022-0054
Peschka D, Heltai L. Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle. Journal of Computational Physics. 2022 ;464:111325.
Arndt D, Feder WBangerth M, Fehling M, Gassmöller R, Heister T, Heltai L, Kronbichler M, Maier M, Munch P, Pelteret J-P, et al. The \textttdeal.II Library, Version 9.4. Journal of Numerical Mathematics. 2022 .
Peschka D, Zafferi A, Heltai L, Thomas M. Variational Approach to Fluid–Structure Interaction via GENERIC. Journal of Non-Equilibrium Thermodynamics. 2022 .
Liu Z, McBride A, Saxena P, Heltai L, Qu Y, Steinmann P. Vibration Analysis of Piezoelectric Kirchhoff-Love shells based on Catmull-Clark Subdivision Surfaces. International Journal for Numerical Methods in Engineering. 2022 .
2021
Arndt D, Bangerth W, Blais B, Fehling M, Gassmöller R, Heister T, Heltai L, Köcher U, Kronbichler M, Maier M, et al. The deal.II Library, Version 9.3. Journal of Numerical Mathematics [Internet]. 2021 . Available from: https://doi.org/10.1515/jnma-2021-0081
Heltai L, Caiazzo A, Müeller L. Multiscale coupling of one-dimensional vascular models and elastic tissues. Annals of Biomedical Engineering. 2021 .
Heltai L, Bangerth W, Kronbichler M, Mola A. Propagating geometry information to finite element computations. Transactions on Mathematical Software. 2021 ;47(4):1--30.
Mulita O, Giani S, Heltai L. Quasi-optimal mesh sequence construction through Smoothed Adaptive Finite Element Methods. SIAM Journal on Scientific Computing. 2021 .
Giani S, Grubisic L, Heltai L, Mulita O. Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems. Computational Methods in Applied Mathematics. 2021 ;21:385-405.
2020
Arndt D, Bangerth W, Davydov D, Heister T, Heltai L, Kronbichler M, Maier M, Pelteret J-P, Turcksin B, Wells D. The deal.II finite element library: Design, features, and insights. Computers and Mathematics with Applications [Internet]. 2020 . Available from: https://doi.org/10.1016/j.camwa.2020.02.022
Arndt D, Bangerth W, Blais B, Clevenger TC, Fehling M, Grayver AV, Heister T, Heltai L, Kronbichler M, Maier M, et al. The deal.II library, Version 9.2. Journal of Numerical Mathematics. 2020 ;28:131–146.
Alzetta G, Heltai L. Multiscale modeling of fiber reinforced materials via non-matching immersed methods. Computers & Structures. 2020 ;239:106334.
Dal Maso G, Heltai L. A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity. Journal of Convex Analysis [Internet]. 2020 . Available from: https://arxiv.org/abs/2004.12705
Heltai L, Lei W. A priori error estimates of regularized elliptic problems. Numerische Mathematik. 2020 .
Heltai L, Lei W. A priori error estimates of regularized elliptic problems. Numerische Mathematik [Internet]. 2020 ;146:571–596. Available from: https://doi.org/10.1007/s00211-020-01152-w
2019
Arndt D, Bangerth W, Clevenger TC, Davydov D, Fehling M, Garcia-Sanchez D, Harper G, Heister T, Heltai L, Kronbichler M, et al. The deal.II Library, Version 9.1. Journal of Numerical Mathematics. 2019 .
Arndt D, Bangerth W, Clevenger TC, Davydov D, Fehling M, Garcia-Sanchez D, Harper G, Heister T, Heltai L, Kronbichler M, et al. The deal.II Library, Version 9.1. Journal of Numerical Mathematics. 2019 .
Heltai L, Rotundo N. Error estimates in weighted Sobolev norms for finite element immersed interface methods. Computers & Mathematics with Applications [Internet]. 2019 ;78:3586–3604. Available from: https://doi.org/10.1016/j.camwa.2019.05.029
Heltai L, Caiazzo A. Multiscale modeling of vascularized tissues via non-matching immersed methods. International Journal for Numerical Methods in Biomedical Engineering [Internet]. 2019 ;35:e3264. Available from: https://doi.org/10.1002/cnm.3264
2018
Pitton G, Heltai L. Accelerating the iterative solution of convection-diffusion problems using singular value decomposition. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS [Internet]. 2018 :1–21. Available from: https://arxiv.org/abs/1807.09467

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