The deal.II Library, Version 8.1. - Wolfgang Bangerth; Timo Heister; Luca Heltai; Guido Kanschat; Martin Kronbichler 002; Matthias Maier; Bruno Turcksin; Toby D. Young (CoRR, 2013)

Benchmarking the immersed finite element method for fluid-structure interaction problems. - Saswati Roy; Luca Heltai; Francesco Costanzo (Comput. Math. Appl., 2015)

Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes. - Filippo Salmoiraghi; Francesco Ballarin; Luca Heltai; Gianluigi Rozza (Adv. Model. Simul. Eng. Sci., 2016)

LinearOperator - A generic, high-level expression syntax for linear algebra. - Matthias Maier; Mauro Bardelloni; Luca Heltai (Comput. Math. Appl., 2016)

The deal.II Library, Version 8.4. - Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Guido Kanschat; Martin Kronbichler 002; Matthias Maier; Bruno Turcksin; David R. Wells (J. Num. Math., 2016)

Error Analysis of a B-Spline Based Finite-Element Method for Modeling Wind-Driven Ocean Circulation. - Nella Rotundo; Tae-Yeon Kim 001; Wen Jiang 003; Luca Heltai; Eliot Fried (J. Sci. Comput., 2016)

The deal.II library, version 8.5. - Daniel Arndt 003; Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Jean-Paul Pelteret; Bruno Turcksin; David R. Wells (J. Num. Math., 2017)

π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods. - Nicola Giuliani; Andrea Mola; Luca Heltai (Adv. Eng. Softw., 2018)

The deal.II library, Version 9.0. - Giovanni Alzetta; Daniel Arndt 003; Wolfgang Bangerth; Vishal Boddu; Benjamin Brands; Denis Davydov; Rene Gassmöller; Timo Heister; Luca Heltai; Katharina Kormann; Martin Kronbichler 002; Matthias Maier; et al. (J. Num. Math., 2018)

deal2lkit: A toolkit library for high performance programming in deal.II. - Alberto Sartori; Nicola Giuliani; Mauro Bardelloni; Luca Heltai (SoftwareX, 2018)

Error estimates in weighted Sobolev norms for finite element immersed interface methods. - Luca Heltai; Nella Rotundo (Comput. Math. Appl., 2019)

Multiscale modeling of fiber reinforced materials via non-matching immersed methods. - Giovanni Alzetta; Luca Heltai (CoRR, 2019)

Multiscale modeling of vascularized tissues via non-matching immersed methods. - Luca Heltai; Alfonso Caiazzo (CoRR, 2019)

Using exact geometry information in finite element computations. - Luca Heltai; Wolfgang Bangerth; Martin Kronbichler 002; Andrea Mola (CoRR, 2019)

The deal.II finite element library. - Daniel Arndt 003; Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Jean-Paul Pelteret; Bruno Turcksin; David R. Wells (CoRR, 2019)

The deal.II library, Version 9.1. - Daniel Arndt 003; Wolfgang Bangerth; Thomas C. Clevenger; Denis Davydov; Marc Fehling; Daniel Garcia-Sanchez; Graham Harper; Timo Heister; Luca Heltai; Martin Kronbichler 002; Ross Maguire Kynch; Matthias Maier; et al. (J. Num. Math., 2019)

Accelerating the iterative solution of convection-diffusion problems using singular value decomposition. - Giuseppe Pitton; Luca Heltai (Numer. Linear Algebra Appl., 2019)

A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity. - Gianni Dal Maso; Luca Heltai (CoRR, 2020)

The deal.II library, Version 9.2. - Daniel Arndt 003; Wolfgang Bangerth; Bruno Blais; Thomas C. Clevenger; Marc Fehling; Alexander V. Grayver; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; et al. (J. Num. Math., 2020)

A priori error estimates of regularized elliptic problems. - Luca Heltai; Wenyu Lei (Numerische Mathematik, 2020)

The deal.II finite element library: Design, features, and insights. - Daniel Arndt 003; Wolfgang Bangerth; Denis Davydov; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Jean-Paul Pelteret; Bruno Turcksin; David R. Wells (Comput. Math. Appl., 2021)

Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems. - Stefano Giani; Luka Grubisic; Luca Heltai; Ornela Mulita (Comput. Methods Appl. Math., 2021)

Vibration Analysis of Piezoelectric Kirchhoff-Love Shells based on Catmull-Clark Subdivision Surfaces. - Zhaowei Liu; Andrew McBride; Prashant Saxena; Luca Heltai; Yilin Qu; Paul Steinmann (CoRR, 2021)

The deal.II library, Version 9.3. - Daniel Arndt 003; Wolfgang Bangerth; Bruno Blais; Marc Fehling; Rene Gassmöller; Timo Heister; Luca Heltai; Uwe Köcher; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; et al. (J. Num. Math., 2021)

Quasi-Optimal Mesh Sequence Construction through Smoothed Adaptive Finite Element Methods. - Ornela Mulita; Stefano Giani; Luca Heltai (SIAM J. Sci. Comput., 2021)

Propagating Geometry Information to Finite Element Computations. - Luca Heltai; Wolfgang Bangerth; Martin Kronbichler 002; Andrea Mola (ACM Trans. Math. Softw., 2021)

Data-driven solutions of ill-posed inverse problems arising from doping reconstruction in semiconductors. - Stefano Piani; Patricio Farrell; Wenyu Lei; Nella Rotundo; Luca Heltai (CoRR, 2022)

Computational bifurcation analysis of hyperelastic thin shells. - Zhaowei Liu; Andrew McBride; Abhishek Ghosh; Luca Heltai; Weicheng Huang; Tiantang Yu; Paul Steinmann; Prashant Saxena (CoRR, 2022)

A Scharfetter-Gummerl stabilization scheme for HDG approximations of convection-diffusion problems. - Stefano Piani; Luca Heltai; Wenyu Lei (CoRR, 2022)

Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle. - Dirk Peschka; Luca Heltai (J. Comput. Phys., 2022)

The deal.II library, Version 9.4. - Daniel Arndt 003; Wolfgang Bangerth; Marco Feder; Marc Fehling; Rene Gassmöller; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; Simon Sticko; et al. (J. Num. Math., 2022)

Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains. - Luca Heltai; Paolo Zunino (CoRR, 2023)

Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems. - Michal Wichrowski; Piotr Krzyzanowski; Luca Heltai; Stanislaw Stupkiewicz (CoRR, 2023)

Reduced Lagrange multiplier approach for non-matching coupled problems in multiscale elasticity. - Camilla Belponer; Alfonso Caiazzo; Luca Heltai (CoRR, 2023)

Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data. - Luca Heltai; Wenyu Lei (SIAM J. Numer. Anal., 2023)

A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixing. - Jeanne Joachim; Carole-Anne Daunais; Valérie Bibeau; Luca Heltai; Bruno Blais (J. Comput. Phys., 2023)

The deal.II Library, Version 9.5. - Daniel Arndt 003; Wolfgang Bangerth; Maximilian Bergbauer; Marco Feder; Marc Fehling; Johannes Heinz; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; et al. (J. Num. Math., 2023)

A comparison of non-matching techniques for the finite element approximation of interface problems. - Daniele Boffi; Andrea Cangiani; Marco Feder; Lucia Gastaldi; Luca Heltai (Comput. Math. Appl., 2023)

Matrix-free implementation of the non-nested multigrid method. - Marco Feder; Luca Heltai; Martin Kronbichler 002; Peter Munch (CoRR, 2024)

A Weighted Hybridizable Discontinuous Galerkin Method for Drift-Diffusion Problems. - Wenyu Lei; Stefano Piani; Patricio Farrell; Nella Rotundo; Luca Heltai (J. Sci. Comput., 2024)

The deal.II library, Version 9.6. - Pasquale Claudio Africa; Daniel Arndt 003; Wolfgang Bangerth; Bruno Blais; Marc Fehling; Rene Gassmöller; Timo Heister; Luca Heltai; Sebastian Kinnewig; Martin Kronbichler 002; Matthias Maier; Peter Munch; et al. (J. Num. Math., 2024)

R3MG: R-tree based agglomeration of polytopal grids with applications to multilevel methods. - Marco Feder; Andrea Cangiani; Luca Heltai (J. Comput. Phys., 2025)

Optimal and Scalable Augmented Lagrangian preconditioners for Fictitious Domain problems. - Michele Benzi; Marco Feder; Luca Heltai; Federica Mugnaioni (CoRR, 2025)