Submitted manuscripts (under review)

  • Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning (2024), P. Benedusi, P. Ferrari, M. Causemann, S. Serra-Capizzano, Under review. [BibTeX] [Preprint] 

    @misc{benedusi2024dense,
  title={Dense cell-by-cell systems of {PDEs}: approximation, spectral analysis, and preconditioning}, 
  author={Pietro Benedusi and Paola Ferrari and Marius Causemann and Stefano Serra-Capizzano},
  year={2024},
  eprint={2409.13432},
  archivePrefix={arXiv},
  primaryClass={math.NA}
}

  • Cell-by-cell modelling of electrical signaling in myelinated axons (2024), A. Gatti, P. Benedusi, S. Pezzuto, Under review. [BibTeX] [Preprint] 

    @misc{gatti2024cell,
  title={Cell-by-cell modelling of electrical signaling in myelinated axons}, 
  author={Alessandro Gatti and Pietro Benedusi and Simone Pezzuto},
  year={2024}          
}

  • A splitting, discontinuous Galerkin solver for the cell-by-cell electroneutral Nernst-Planck framework (2024), A. J. Ellingsrud, P. Benedusi, M. Kuchta, Under review. [BibTeX] [Preprint] 

    @misc{ellingsrud2024splitting,
  title={A splitting, discontinuous Galerkin solver for the cell-by-cell electroneutral Nernst-Planck framework}, 
  author={Ada J. Ellingsrud and Pietro Benedusi and Miroslav Kuchta},
  year={2024},
  eprint={2404.08320},
  archivePrefix={arXiv},
  primaryClass={cs.CE}
}

Publications in peer-reviewed journals

  • Accurate PRD modeling of the forward-scattering Hanle effect in the chromospheric CaI 4227 A line (2024), L. Belluzzi et al, Astronomy & Astrophysics [Link] [BibTeX] [Preprint] 

    @misc{belluzzi2024accurate,
  title={Accurate PRD modeling of the forward-scattering Hanle effect in the chromospheric CaI 4227 {\AA} line}, 
  author={Luca Belluzzi and Simone Riva and Gioele Janett and Nuno Guerreiro and Fabio Riva and Pietro Benedusi and Tanausú del Pino Alemán and Ernest Alsina Ballester and Javier Trujillo Bueno and Jiří Štěpán},
  year={2024},
  eprint={2404.00104},
  archivePrefix={arXiv},
  primaryClass={astro-ph.SR}
}

  • Scalable approximation and solvers for ionic electrodiffusion in cellular geometries (2024), P. Benedusi, A. J. Ellingsrud, H. Herlyng, M. E. Rognes, SIAM Journal of Scientific Copmuting [Link] [BibTeX] [Preprint] 

    @article{Benedusi2024,
  author = {Benedusi, Pietro and Ellingsrud, Ada Johanne and Herlyng, Halvor and Rognes, Marie E.},
  title = {Scalable Approximation and Solvers for Ionic Electrodiffusion in Cellular Geometries},
  journal = {SIAM Journal on Scientific Computing},
  volume = {46},
  number = {5},
  pages = {B725-B751},
  year = {2024},
  doi = {10.1137/24M1644717}
}

  • Modeling the scattering polarization in the solar line with angle-dependent PRD effects and bulk velocities (2024), N. Guerreiro, G. Janett, S. Riva, P. Benedusi, L. Belluzzi, Astronomy & Astrophysics [Link] [BibTeX] [Preprint] 

    @article{Guerreiro2024modeling,
  title={Modeling the scattering polarization in the solar line with angle-dependent PRD effects and bulk velocities},
  author={N. Guerreiro, G. Janett, S. Riva, P. Benedusi, L. Belluzzi},
  journal={Astronomy \& Astrophysics},
  volume={683},
  pages={A207},
  year={2024},
  publisher={EDP Sciences}
}

  • Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy (2024), P. Benedusi, P. Ferrari, M.E. Rognes, S. Serra-Capizzano, Journal of Scientific Computing [Link] [BibTeX] [Preprint] 

    @article{benedusi2023EMI,
  title={Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy},
  author={Benedusi, Pietro and Ferrari, Paola and Rognes, Marie and Serra-Capizzano , Stefano},
  journal={Journal of Scientific Computing},
  volume={98},
  number={3},
  pages={58},
  year={2024}
}

  • Numerical solutions to linear transfer problems of polarized radiation IV. Efficient preconditioning in a physics-based framework (2024), G. Janett, P. Benedusi, F. Riva, Astronomy & Astrophysics [Link] [BibTeX] [Preprint] 

    @article{janett2024numerical,
  title={Numerical solutions to linear transfer problems of polarized radiation-IV. Efficient preconditioning in a physics-based framework},
  author={Janett, Gioele and Benedusi, Pietro and Riva, Fabio},
  journal={Astronomy \& Astrophysics},
  volume={682},
  pages={A68},
  year={2024},
  publisher={EDP Sciences}
}

  • Assessment of the CRD approximation for the observer’s frame RIII redistribution matrix (2024), S. Riva, N. Guerreiro, G. Janett, D. Rossinelli, P. Benedusi, R. Krause, L. Belluzzi, Astronomy & Astrophysics [Link] [BibTeX] [Preprint] 

    @article{riva2023assessment,
  title={Assessment of the CRD approximation for the observer’s frame RIII redistribution matrix},
  author={Riva, Simone and Guerreiro, Nuno and Janett, Gioele and Rossinelli, Diego and Benedusi, Pietro and Krause, Rolf and Belluzzi, Luca},
  journal={Astronomy \& Astrophysics},
  volume={679},
  pages={A87},
  year={2023},
  publisher={EDP Sciences}
}

  • Scalable matrix-free solver for 3D transfer of polarized radiation in stellar atmospheres (2023), P. Benedusi, S. Riva, P. Zulian, S. Jiri, L. Belluzzi, R. Krause, Journal of Computational Physics [Link] [BibTeX] [Preprint] 

    @article{benedusi2023scalable,
  title={Scalable matrix-free solver for 3D transfer of polarized radiation in stellar atmospheres},
  author={Benedusi, Pietro and Riva, Simone and Zulian, Patrick and {\v{S}}t{\v{e}}p{\'a}n, Ji{\v{r}}{\'\i} and Belluzzi, Luca and Krause, Rolf},
  journal={Journal of Computational Physics},
  volume={479},
  pages={112013},
  year={2023},
  publisher={Elsevier}
}

  • Numerical solutions to linear transfer problems of polarized radiation III. Parallel preconditioned Krylov solver tailored for modeling PRD effects (2022), P. Benedusi, G. Janett, S. Riva, R. Krause, L. Belluzzi, Astronomy & Astrophysics [Link] [BibTeX] [Preprint] 

    @article{benedusi2022numerical,
  title={Numerical solutions to linear transfer problems of polarized radiation-III. Parallel preconditioned Krylov solver tailored for modeling PRD effects},
  author={Benedusi, Pietro and Janett, Gioele and Riva, Simone and Krause, Rolf and Belluzzi, Luca},
  journal={Astronomy \& Astrophysics},
  volume={664},
  pages={A197},
  year={2022},
  publisher={EDP Sciences}
}

  • Numerical solutions to linear transfer problems of polarized radiation II. Krylov methods and matrix-free implementation (2021), P. Benedusi, G. Janett, S. Riva, L. Belluzzi, R. Krause, Astronomy & Astrophysics [Link] [BibTeX] [Preprint] 

    @article{benedusi2021numerical,
  title={Numerical solutions to linear transfer problems of polarized radiation-II. Krylov methods and matrix-free implementation},
  author={Benedusi, Pietro and Janett, Gioele and Belluzzi, Luca and Krause, Rolf},
  journal={Astronomy \& Astrophysics},
  volume={655},
  pages={A88},
  year={2021},
  publisher={EDP Sciences}
}

  • Numerical solutions to linear transfer problems of polarized radiation I. Algebraic formulation and stationary iterative methods (2021), P. Benedusi, G. Janett, L. Belluzzi,R. Krause, Astronomy & Astrophysics [Link] [BibTeX] [Preprint] 

    @article{janett2021numerical,
  title={Numerical solutions to linear transfer problems of polarized radiation-I. Algebraic formulation and stationary iterative methods},
  author={Janett, Gioele and Benedusi, Pietro and Belluzzi, Luca and Krause, Rolf},
  journal={Astronomy \& Astrophysics},
  volume={655},
  pages={A87},
  year={2021},
  publisher={EDP Sciences}
}

  • An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem (2021), P. Benedusi, M. Minion, R. Krause, Computers & Mathematics with Applications [Link] [BibTeX] [Preprint] 

    @article{benedusi2021experimental,
  title={An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem},
  author={Benedusi, Pietro and Minion, Michael L and Krause, Rolf},
  journal={Computers \& Mathematics with Applications},
  volume={99},
  pages={162--170},
  year={2021},
  publisher={Elsevier}
}

  • Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation (2021), P. Benedusi, P. Ferrari, C. Garoni, R. Krause, S. Serra-Capizzano, Journal of Scientific Computing [Link] [BibTeX] [Preprint] 

    @article{benedusi2021fast,
  title={Fast parallel solver for the space-time {IgA-DG} discretization of the diffusion equation},
  author={Benedusi, Pietro and Ferrari, Paola and Garoni, Carlo and Krause, Rolf and Serra-Capizzano, Stefano},
  journal={Journal of Scientific Computing},
  volume={89},
  number={1},
  pages={1--21},
  year={2021},
  publisher={Springer}
}

  • Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology (2021), S. B. Bader, P. Benedusi, A. Quaglino, P. Zulian, R. Krause, Journal of Computational Physics [Link] [BibTeX] [Preprint] 

    @article{bader2021space,
  title={Space-time multilevel {Monte Carlo} methods and their application to cardiac electrophysiology},
  author={Bader, S Ben and Benedusi, Pietro and Quaglino, Alessio and Zulian, Patrick and Krause, Rolf},
  journal={Journal of Computational Physics},
  volume={433},
  pages={110164},
  year={2021},
  publisher={Elsevier}
}

  • Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol (2018), P. Benedusi, C. Garoni, R. Krause, X. Li, S. Serra-Capizzano, SIAM Journal on Matrix Analysis and Applications [Link] [BibTeX] [Preprint] 

    @article{Benedusi2018,
  title={{Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol}},
  author={Benedusi, Pietro and Garoni, Carlo and Krause, Rolf and Li, Xiaozhou and Serra-Capizzano, Stefano},
  journal={SIAM Journal on Matrix Analysis and Applications},
  volume={39},
  number={3},
  pages={1383--1420},
  year={2018},
  publisher={SIAM}
}

  • Time-parallel Gravitational Collapse Simulation (2017), A. Kreienbuehl, P. Benedusi, D. Ruprecht, R. Krause, Communications in Applied Mathematics and Computational Science [Link] [BibTeX] [Preprint] 

    @article{kreienbuehl2017time,
  title={{Time-parallel Gravitational Collapse Simulation}},
  author={Kreienbuehl, A. and Benedusi, P. and Ruprecht, D. and Krause, R.},
  journal={Communications in Applied Mathematics and Computational Science},
  volume={12},
  number={1},
  pages={109--128},
  year={2017},
  publisher={Mathematical Sciences Publishers}
}

Publications in peer-reviewed conference proceedings and book chapters

  • Space and time parallel multigrid for optimization and uncertainty quantification in PDE simulations (2016), L. Grasedyck, C. Lobbert, G. and Wittum, A. Nagel, V. Schulz, M. Siebenborn, R. Krause, P. Benedusi, U. Kuster, B. Dick, Software for Exascale Computing-SPPEXA 2013-2015 [Link] [BibTeX] [Preprint] 

    @incollection{grasedyck2016space,
  title={{Space and time parallel multigrid for optimization and uncertainty quantification in PDE simulations}},
  author={Grasedyck, L. and L{\"o}bbert, C. and Wittum, G. and N{\"a}gel, A. and Schulz, V. and Siebenborn, M. and Krause, R. and Benedusi, P. and K{\"u}ster, Uwe and Dick, Bj{\"o}rn},
  booktitle={Software for Exascale Computing-SPPEXA 2013-2015},
  pages={507--523},
  year={2016},
  publisher={Springer}
}

  • A parallel multigrid solver for time-periodic incompressible Navier-Stokes equations in 3D (2016), P. Benedusi, D. Hupp, P. Arbenz, R. Krause, Numerical Mathematics and Advanced Applications ENUMATH 2015 [Link] [BibTeX] [Preprint] 

    @incollection{benedusi2016parallel,
  title={{A parallel multigrid solver for time-periodic incompressible Navier--Stokes equations in 3D}},
  author={Benedusi, Pietro and Hupp, Daniel and Arbenz, Peter and Krause, Rolf},
  booktitle={Numerical Mathematics and Advanced Applications ENUMATH 2015},
  pages={265--273},
  year={2016},
  publisher={Springer}
}

Thesis