Luca Heltai

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 44

Top Topics

Eigenvalue Problems

Error Estimates

Top Venues

Comput. Math. Appl.

J. Sci. Comput.

Publications

Wenyu Lei, Stefano Piani, Patricio Farrell, Nella Rotundo, Luca Heltai
A Weighted Hybridizable Discontinuous Galerkin Method for Drift-Diffusion Problems. J. Sci. Comput. 99 (2) (2024)
Marco Feder, Andrea Cangiani, Luca Heltai
R3MG: R-tree based agglomeration of polytopal grids with applications to multilevel methods. CoRR (2024)
Luca Heltai, Wenyu Lei
Adaptive Finite Element Approximations for Elliptic Problems using Regularized Forcing Data. SIAM J. Numer. Anal. 61 (2) (2023)
Camilla Belponer, Alfonso Caiazzo, Luca Heltai
Reduced Lagrange multiplier approach for non-matching coupled problems in multiscale elasticity. CoRR (2023)
Michal Wichrowski, Piotr Krzyzanowski, Luca Heltai, Stanislaw Stupkiewicz
Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid-structure interaction problems. CoRR (2023)
Luca Heltai, Paolo Zunino
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains. CoRR (2023)
Daniel Arndt, Wolfgang Bangerth, Maximilian Bergbauer, Marco Feder, Marc Fehling, Johannes Heinz, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Bruno Turcksin, David R. Wells, Stefano Zampini
The deal.II Library, Version 9.5. J. Num. Math. 31 (3) (2023)
Daniele Boffi, Andrea Cangiani, Marco Feder, Lucia Gastaldi, Luca Heltai
A comparison of non-matching techniques for the finite element approximation of interface problems. CoRR (2023)
Daniele Boffi, Andrea Cangiani, Marco Feder, Lucia Gastaldi, Luca Heltai
A comparison of non-matching techniques for the finite element approximation of interface problems. Comput. Math. Appl. 151 (2023)
Jeanne Joachim, Carole-Anne Daunais, Valérie Bibeau, Luca Heltai, Bruno Blais
A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixing. J. Comput. Phys. 488 (2023)
Dirk Peschka, Luca Heltai
Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle. J. Comput. Phys. 464 (2022)
Zhaowei Liu, Andrew McBride, Abhishek Ghosh, Luca Heltai, Weicheng Huang, Tiantang Yu, Paul Steinmann, Prashant Saxena
Computational bifurcation analysis of hyperelastic thin shells. CoRR (2022)
Stefano Piani, Luca Heltai, Wenyu Lei
A Scharfetter-Gummerl stabilization scheme for HDG approximations of convection-diffusion problems. CoRR (2022)
Wenyu Lei, Stefano Piani, Patricio Farrell, Nella Rotundo, Luca Heltai
A weighted Hybridizable Discontinuous Galerkin method for drift-diffusion problems. CoRR (2022)
Daniel Arndt, Wolfgang Bangerth, Marco Feder, Marc Fehling, Rene Gassmöller, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Simon Sticko, Bruno Turcksin, David Wells
The deal.II library, Version 9.4. J. Num. Math. 30 (3) (2022)
Stefano Piani, Patricio Farrell, Wenyu Lei, Nella Rotundo, Luca Heltai
Data-driven solutions of ill-posed inverse problems arising from doping reconstruction in semiconductors. CoRR (2022)
Daniel Arndt, Wolfgang Bangerth, Denis Davydov, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Jean-Paul Pelteret, Bruno Turcksin, David Wells
The deal.II finite element library: Design, features, and insights. Comput. Math. Appl. 81 (2021)
Zhaowei Liu, Andrew McBride, Prashant Saxena, Luca Heltai, Yilin Qu, Paul Steinmann
Vibration Analysis of Piezoelectric Kirchhoff-Love Shells based on Catmull-Clark Subdivision Surfaces. CoRR (2021)
Daniel Arndt, Wolfgang Bangerth, Bruno Blais, Marc Fehling, Rene Gassmöller, Timo Heister, Luca Heltai, Uwe Köcher, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Sebastian Proell, Konrad Simon, Bruno Turcksin, David Wells, Jiaqi Zhang
The deal.II library, Version 9.3. J. Num. Math. 29 (3) (2021)
Ornela Mulita, Stefano Giani, Luca Heltai
Quasi-Optimal Mesh Sequence Construction through Smoothed Adaptive Finite Element Methods. SIAM J. Sci. Comput. 43 (3) (2021)
Stefano Giani, Luka Grubisic, Luca Heltai, Ornela Mulita
Smoothed-Adaptive Perturbed Inverse Iteration for Elliptic Eigenvalue Problems. Comput. Methods Appl. Math. 21 (2) (2021)
Luca Heltai, Wolfgang Bangerth, Martin Kronbichler, Andrea Mola
Propagating Geometry Information to Finite Element Computations. ACM Trans. Math. Softw. 47 (4) (2021)
Luca Heltai, Wenyu Lei
Adaptive finite element approximations for elliptic problems using regularized forcing data. CoRR (2021)
Stefano Giani, Luka Grubisic, Luca Heltai, Ornela Mulita
Smoothed-adaptive perturbed inverse iteration for elliptic eigenvalue problems. CoRR (2021)
Dirk Peschka, Luca Heltai
Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle. CoRR (2021)
Gianni Dal Maso, Luca Heltai
A numerical study of the jerky crack growth in elastoplastic materials with localized plasticity. CoRR (2020)
Luca Heltai, Wenyu Lei
A priori error estimates of regularized elliptic problems. Numerische Mathematik 146 (3) (2020)
Daniel Arndt, Wolfgang Bangerth, Bruno Blais, Thomas C. Clevenger, Marc Fehling, Alexander V. Grayver, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Peter Munch, Jean-Paul Pelteret, Reza Rastak, Ignacio Tomas, Bruno Turcksin, Zhuoran Wang, David Wells
The deal.II library, Version 9.2. J. Num. Math. 28 (3) (2020)
Giuseppe Pitton, Luca Heltai
Accelerating the iterative solution of convection-diffusion problems using singular value decomposition. Numer. Linear Algebra Appl. 26 (1) (2019)
Luca Heltai, Wolfgang Bangerth, Martin Kronbichler, Andrea Mola
Using exact geometry information in finite element computations. CoRR (2019)
Luca Heltai, Alfonso Caiazzo
Multiscale modeling of vascularized tissues via non-matching immersed methods. CoRR (2019)
Daniel Arndt, Wolfgang Bangerth, Thomas C. Clevenger, Denis Davydov, Marc Fehling, Daniel Garcia-Sanchez, Graham Harper, Timo Heister, Luca Heltai, Martin Kronbichler, Ross Maguire Kynch, Matthias Maier, Jean-Paul Pelteret, Bruno Turcksin, David Wells
The deal.II library, Version 9.1. J. Num. Math. 27 (4) (2019)
Daniel Arndt, Wolfgang Bangerth, Denis Davydov, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Jean-Paul Pelteret, Bruno Turcksin, David Wells
The deal.II finite element library. CoRR (2019)
Giovanni Alzetta, Luca Heltai
Multiscale modeling of fiber reinforced materials via non-matching immersed methods. CoRR (2019)
Luca Heltai, Wenyu Lei
A priori error estimates of regularized elliptic problems. CoRR (2019)
Luca Heltai, Nella Rotundo
Error estimates in weighted Sobolev norms for finite element immersed interface methods. Comput. Math. Appl. 78 (11) (2019)
Alberto Sartori, Nicola Giuliani, Mauro Bardelloni, Luca Heltai
deal2lkit: A toolkit library for high performance programming in deal.II. SoftwareX 7 (2018)
Giovanni Alzetta, Daniel Arndt, Wolfgang Bangerth, Vishal Boddu, Benjamin Brands, Denis Davydov, Rene Gassmöller, Timo Heister, Luca Heltai, Katharina Kormann, Martin Kronbichler, Matthias Maier, Jean-Paul Pelteret, Bruno Turcksin, David Wells
The deal.II library, Version 9.0. J. Num. Math. 26 (4) (2018)
Nicola Giuliani, Andrea Mola, Luca Heltai
-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods. Adv. Eng. Softw. 121 (2018)
Daniel Arndt, Wolfgang Bangerth, Denis Davydov, Timo Heister, Luca Heltai, Martin Kronbichler, Matthias Maier, Jean-Paul Pelteret, Bruno Turcksin, David Wells
The deal.II library, version 8.5. J. Num. Math. 25 (3) (2017)
Matthias Maier, Mauro Bardelloni, Luca Heltai
LinearOperator - A generic, high-level expression syntax for linear algebra. Comput. Math. Appl. 72 (1) (2016)
Nella Rotundo, Tae-Yeon Kim, Wen Jiang, Luca Heltai, Eliot Fried
Error Analysis of a B-Spline Based Finite-Element Method for Modeling Wind-Driven Ocean Circulation. J. Sci. Comput. 69 (1) (2016)
Filippo Salmoiraghi, Francesco Ballarin, Luca Heltai, Gianluigi Rozza
Isogeometric analysis-based reduced order modelling for incompressible linear viscous flows in parametrized shapes. Adv. Model. Simul. Eng. Sci. 3 (1) (2016)
Wolfgang Bangerth, Denis Davydov, Timo Heister, Luca Heltai, Guido Kanschat, Martin Kronbichler, Matthias Maier, Bruno Turcksin, David Wells
The deal.II Library, Version 8.4. J. Num. Math. 24 (3) (2016)
Saswati Roy, Luca Heltai, Francesco Costanzo
Benchmarking the immersed finite element method for fluid-structure interaction problems. Comput. Math. Appl. 69 (10) (2015)
Wolfgang Bangerth, Timo Heister, Luca Heltai, Guido Kanschat, Martin Kronbichler, Matthias Maier, Bruno Turcksin, Toby D. Young
The deal.II Library, Version 8.1. CoRR (2013)