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Publications

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Filters: Author is Luca Heltai  [Clear All Filters]
Journal Article
Maier M, Bardelloni M, Heltai L. LinearOperator – a generic, high-level expression syntax for linear algebra. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2016 ;72:1–24.
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.
Heltai L, Caiazzo A, Müeller L. Multiscale coupling of one-dimensional vascular models and elastic tissues. Annals of Biomedical Engineering. 2021 .
Alzetta G, Heltai L. Multiscale modeling of fiber reinforced materials via non-matching immersed methods. Computers & Structures. 2020 ;239:106334.
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
Heltai L, Kiendl J, DeSimone A, Reali A. A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING [Internet]. 2017 ;316:522–546. Available from: http://cdsads.u-strasbg.fr/abs/2017CMAME.316.522H
Heltai L, Arroyo M, DeSimone A. Nonsingular Isogeometric Boundary Element Method for Stokes Flows in 3D. [Internet]. 2014 . Available from: http://hdl.handle.net/1963/6326
Alouges F, DeSimone A, Heltai L. Numerical Strategies for Stroke Optimization of Axisymmetric Microswimmers. Mathematical Models and Methods in Applied Sciences 21 (2011) 361-387 [Internet]. 2011 . Available from: http://hdl.handle.net/1963/3657
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
Pitton G, Heltai L. NURBS-SEM: A hybrid spectral element method on NURBS maps for the solution of elliptic PDEs on surfaces. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING [Internet]. 2018 ;338:440–462. Available from: https://arxiv.org/abs/1804.08271
Giuliani N, Heltai L, DeSimone A. Predicting and Optimizing Microswimmer Performance from the Hydrodynamics of Its Components: The Relevance of Interactions. SOFT ROBOTICS [Internet]. 2018 ;5:410–424. Available from: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6094362/
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
Heltai L, Lei W. A priori error estimates of regularized elliptic problems. Numerische Mathematik. 2020 .
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 .
Manzoni A, Salmoiraghi F, Heltai L. Reduced Basis Isogeometric Methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils. Comput Methods Appl Mech Eng. 2015;284:1147–1180. 2015 .
Arroyo M, Heltai L, Millán D, DeSimone A. Reverse engineering the euglenoid movement. Proceedings of the National Academy of Sciences of the United States of America. Volume 109, Issue 44, 30 October 2012, Pages 17874-17879 [Internet]. 2012 . Available from: http://hdl.handle.net/1963/6444
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.
Mola A, Heltai L, DeSimone A. A stable and adaptive semi-Lagrangian potential model for unsteady and nonlinear ship-wave interactions. Engineering Analysis with Boundary Elements, 37(1):128 – 143, 2013. [Internet]. 2013 . Available from: http://hdl.handle.net/1963/5669
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 .
Heltai L, Costanzo F. Variational implementation of immersed finite element methods. Computer Methods in Applied Mechanics and Engineering. Volume 229-232, 1 July 2012, Pages 110-127 [Internet]. 2012 . Available from: http://hdl.handle.net/1963/6462
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 .
Mola A, Heltai L, DeSimone A. Wet and Dry Transom Stern Treatment for Unsteady and Nonlinear Potential Flow Model for Naval Hydrodynamics Simulations. Journal of Ship Research. 2017 ;61:1–14.
Giuliani N, Mola A, Heltai L. π-BEM : A flexible parallel implementation for adaptive , geometry aware , and high order boundary element methods. Advances in Engineering Software. 2018 ;121:39–58.

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