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  .

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.

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 [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  .

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

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

Rafiei S, Noroozi B, Heltai L, Haghi AK. An authenticated theoretical modeling of electrified fluid jet in core?shell nanofibers production. JOURNAL OF INDUSTRIAL TEXTILES. 2018  ;47:1791?1811.

Sartori A, Giuliani N, Bardelloni M, Heltai L. deal2lkit: A toolkit library for high performance programming in deal.II. SOFTWAREX. 2018  ;7:318?327.

Alzetta G, Arndt D, Bangerth W, Boddu V, Brands B, Davydov D, Gassmöller R, Heister T, Heltai L, Kormann K, et al. The deal.II Library, Version 9.0. JOURNAL OF NUMERICAL MATHEMATICS [Internet]. 2018  . Available from: https://doi.org/10.1515/jnma-2018-0054

Boffi D, Gastaldi L, Heltai L. A distributed lagrange formulation of the finite element immersed boundary method for fluids interacting with compressible solids. In: Mathematical and Numerical Modeling of the Cardiovascular System and Applications. Vol. 16. Mathematical and Numerical Modeling of the Cardiovascular System and Applications. Cham: Springer International Publishing; 2018. pp. 1?21. Available from: https://arxiv.org/abs/1712.02545v1

Puglisi G, Poletti D, Fabbian G, Baccigalupi C, Heltai L, Stompor R. Iterative map-making with two-level preconditioning for polarized cosmic microwave background data sets. A worked example for ground-based experiments. ASTRONOMY & ASTROPHYSICS [Internet]. 2018  ;618:1?14. Available from: https://arxiv.org/abs/1801.08937

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/

Giuliani N, Mola A, Heltai L. ?-BEM : A flexible parallel implementation for adaptive , geometry aware , and high order boundary element methods. Advances in Engineering Software. 2018  ;121:39?58.

Arndt D, Bangerth W, Davydov D, Heister T, Heltai L, Kronbichler M, Maier M, Pelteret J-P, Turcksin B, Wells D. The deal.II Library, Version 8.5. JOURNAL OF NUMERICAL MATHEMATICS [Internet]. 2017  ;25:137?145. Available from: https://www.dealii.org/deal85-preprint.pdf

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

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.

Bangerth W, Heister T, Heltai L, Kanschat G, Kronbichler M, Maier M, Turcksin B. The deal.II Library, Version 8.3. ARCHIVE OF NUMERICAL SOFTWARE [Internet]. 2016  ;4:1?11. Available from: http://nbn-resolving.de/urn:nbn:de:bsz:16-ans-231226

Bangerth W, Davydov D, Heister T, Heltai L, Kanschat G, Kronbichler M, Maier M, Turcksin B, Wells D. The deal.II library, Version 8.4. JOURNAL OF NUMERICAL MATHEMATICS [Internet]. 2016  ;24:135?141. Available from: https://www.math.clemson.edu/ heister/preprints/deal84-preprint.pdf

Rotundo N, Kim T-Y, Jiang W, Heltai L, Fried E. Error Estimates of B-spline based finite-element method for the wind-driven ocean circulation. JOURNAL OF SCIENTIFIC COMPUTING. 2016  ;69:430?459.

Salmoiraghi F, Ballarin F, Heltai L, Rozza G. Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes. Springer, AMOS Advanced Modelling and Simulation in Engineering Sciences; 2016. Available from: http://urania.sissa.it/xmlui/handle/1963/35199

Maier M, Bardelloni M, Heltai L. LinearOperator ? a generic, high-level expression syntax for linear algebra. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2016  ;72:1?24.

Mola A, Heltai L, DeSimone A, Berti M. Ship Sinkage and Trim Predictions Based on a CAD Interfaced Fully Nonlinear Potential Model. In: The 26th International Ocean and Polar Engineering Conference. Vol. 3. The 26th International Ocean and Polar Engineering Conference. International Society of Offshore and Polar Engineers; 2016. pp. 511?518.

Saswati R, Heltai L, Costanzo F. Benchmarking the Immersed Finite Element Method for Fluid-Structure Interaction Problems. Computers and Mathematics with Applications 69 (2015) 1167?1188. 2015  .

Sartori A, Giuliani N, Bardelloni M, Heltai L. Deal2lkit: a Toolkit Library for High Performance Programming in deal.II.  [Internet]. 2015  . Available from: http://urania.sissa.it/xmlui/handle/1963/35006

Bangerth W, Heister T, Heltai L, Kanschat G, Kronbichler M, Maier M, Turcksin B, Young TD. The deal.II Library, Version 8.2. Archive of Numerical Software, vol. 3, n. 100, (2015), pages : 1-8 [Internet]. 2015  . Available from: http://urania.sissa.it/xmlui/handle/1963/34464

Giuliani N, Mola A, Heltai L, Formaggia L. FEM SUPG stabilisation of mixed isoparametric BEMs: application to linearised free surface flows. Engineering Analysis with Boundary Elements  59 (2015), pp. 8-22 [Internet]. 2015  . Available from: http://urania.sissa.it/xmlui/handle/1963/34466

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  .

Mola A, Heltai L, DeSimone A. A fully nonlinear potential model for ship hydrodynamics directly interfaced with CAD data structures. Proceedings of the 24th International Ocean and Polar Engineering Conference, Busan, 2014. 2014  .

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

Mola A, Heltai L, DeSimone A, Berti M. Potential Model for Ship Hydrodynamics Simulations Directly Interfaced with CAD Data Structures. In: The 24th International Ocean and Polar Engineering Conference. Vol. 4. The 24th International Ocean and Polar Engineering Conference. International Society of Offshore and Polar Engineers; 2014. pp. 815?822.

Bangerth W, Heister T, Heltai L, Kanschat G, Kronbichler M, Maier M, Turcksin B, Young TD. The deal.II Library, Version 8.1. SISSA; 2013. Available from: http://hdl.handle.net/1963/7236

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

DeSimone A, Heltai L, Alouges F, Aline L-L. Computing optimal strokes for low reynolds number swimmers. In: Natural locomotion in fluids and on surfaces : swimming, flying, and sliding / editors Stephen Childress, Anette Hosoi, William W. Schultz, and Z. Jane Wang, editors,. Natural locomotion in fluids and on surfaces : swimming, flying, and sliding / editors Stephen Childress, Anette Hosoi, William W. Schultz, and Z. Jane Wang, editors,. Springer; 2012. Available from: http://hdl.handle.net/1963/6445

Heltai L, Roy S, Costanzo F. A Fully Coupled Immersed Finite Element Method for Fluid Structure Interaction via the Deal.II Library. SISSA; 2012. Available from: http://hdl.handle.net/1963/6255

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

Mola A, Heltai L, DeSimone A. A stable semi-lagrangian potential method for the simulation of ship interaction with unsteady and nonlinear waves. In: 17th Int. Conf. Ships Shipp. Res. 17th Int. Conf. Ships Shipp. Res. ; 2012.

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

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

Alouges F, DeSimone A, Heltai L, Lefebvre A, Merlet B. Optimally swimming Stokesian Robots.; 2010. Available from: http://hdl.handle.net/1963/3929

Arroyo M, DeSimone A, Heltai L. The role of membrane viscosity in the dynamics of fluid membranes.; 2010. Available from: http://hdl.handle.net/1963/3930

DeSimone A, Bianchi B, Heltai L. Stratos: a code for 3D free surface flows with floating constraints.; 2009. Available from: http://hdl.handle.net/1963/3701

DeSimone A, Heltai L, Manigrasso C. Tools for the Solution of PDEs Defined on Curved Manifolds with deal.II.; 2009. Available from: http://hdl.handle.net/1963/3700