My research is in the field of high-order methods for PDEs, and in particular in the computational aspects of those methods.

Books

  • Hybrid high-order methods. A primer with application to solid mechanics.
    M. Cicuttin, A. Ern, N. Pignet
    SpingerBriefs in Mathematics, 2021 (in press) [HAL] [arXiv]

Peer-reviewed journal papers

  • Electrostatic discharge simulation using a GPU-accelerated DGTD solver targeting modern graphics hardware. [PDF]
    M. Cicuttin, A. Royer, P. Binde, C. Geuzaine.
    IEEE Transactions on Magnetics. DOI: 10.1109/TMAG.2022.3179309

  • An unfitted Hybrid High-Order method with cell agglomeration for elliptic interface problems
    E. Burman, M. Cicuttin, G. Delay, A. Ern
    SIAM Journal on Scientific Computing. 43, 2 (2021) DOI: 10.1137/19M1285901
    HAL preprint here

  • Hybrid High-Order Methods for the Elliptic Obstacle Problem
    M. Cicuttin, A. Ern, T. Gudi
    Journal of Scientific Computing. 83, 8 (2020) DOI: 10.1007/s10915-020-01195-z.

  • Spectral approximation of elliptic operators by the hybrid high-order method.
    V. M. Calo, M. Cicuttin, Q. Deng, A. Ern.
    Mathematics of Computation, 88 (2019). DOI: 10.1090/mcom/3405

  • A Hybrid High-Order Method for Highly Oscillatory Elliptic Problems.
    M. Cicuttin, A. Ern, S. Lemaire.
    Computational Methods in Applied Mathematics. DOI: 10.1515/cmam-2018-0013

  • GPU accelerated time domain DGA method for wave propagation problems on tetrahedral grids.
    M. Cicuttin, L. Codecasa, B. Kapidani, R. Specogna, F. Trevisan.
    IEEE Transactions on Magnetics, Volume 54, Issue 3, March 2018. DOI: 10.1109/TMAG.2017.2753322.

  • Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming.
    M. Cicuttin, D. A. Di Pietro, A. Ern.
    Journal of Computational and Applied Mathematics. DOI: 10.1016/j.cam.2017.09.017

  • A geometric frequency-domain wave propagation formulation for fast convergence of iterative solvers. [PDF]
    M. Cicuttin, L. Codecasa, R. Specogna, F. Trevisan.
    IEEE Transactions on Magnetics, Volume 53, Issue 6, June 2017. DOI: 10.1109/TMAG.2017.2679341

  • Adaptivity based on the constitutive error for the Maxwell’s eigenvalue problem on polyhedral meshes. [PDF]
    M. Cicuttin, R. Specogna, F. Trevisan.
    IEEE Transactions on Magnetics, Volume 53, Issue 6, June 2017. DOI: 10.1109/TMAG.2017.2652219

  • Modeling of Anechoic Chambers With Equivalent Materials and Equivalent Sources. [PDF]
    S. Chialina, M. Cicuttin, L. Codecasa, G. Solari, R. Specogna, F. Trevisan.
    IEEE Transactions on Electromagnetic Compatibility, Volume 58, Issue 4, Aug. 2016. DOI: 10.1109/TEMC.2016.2547327

  • Complementary Discrete Geometric h-field Formulation for Wave Propagation Problems. [PDF] [Slides COMPUMAG 2015]
    M. Cicuttin, L. Codecasa, R. Specogna, F. Trevisan.
    IEEE Transactions on Magnetics, Volume 52, Issue 3, March 2016. DOI: 10.1109/TMAG.2015.2474162

  • Excitation by Scattering/Total Field Decomposition and Uniaxial PML in the Geometric Formulation. [PDF]
    M. Cicuttin, L. Codecasa, R. Specogna, F. Trevisan.
    IEEE Transactions on Magnetics, Volume 52, Issue 3, March 2016. DOI: 10.1109/TMAG.2015.2494062

  • Plane Wave Excitation for Frequency Domain Electromagnetic Problems by Means of Impedance Boundary Condition. [PDF]
    S. Chialina, M. Cicuttin, L. Codecasa, R. Specogna, F. Trevisan.
    IEEE Transactions on Magnetics, Volume 51, Issue 3, March 2015. DOI: 10.1109/TMAG.2014.2358701

Refereed conference papers

  • On the implementation of the multiscale Hybrid High-order method.
    M. Cicuttin, A. Ern, S. Lemaire.
    Proceedings of the ENUMATH 2017 conference. Sep. 25-29, Voss, Norway.

  • A comparative performance analysis of time-domain formulations for wave propagation problems.
    M. Cicuttin, L. Codecasa, B. Kapidani, R. Specogna, F. Trevisan.
    Proceedings of the CEFC 2016 conference. Nov. 13-16, Miami (FL), USA.

  • Fast uncertainty quantification of fields and global quantities. [PDF]
    A. Affanni, M. Cicuttin, R. Specogna, F. Trevisan.
    Proceedings of the COMPUMAG 2015 conference. Jun. 28-Jul. 2, Montreal, Canada.

  • A Hybrid High-Order method for the indefinite time-harmonic Maxwell problem. [PDF]
    M. Cicuttin, C. Geuzaine.
    COMPUMAG 2021. Jan. 16-20, 2022, Cancun, Mexico.
    IEEE Transmag paper in preparation

In preparation

  • Numerical investigation of a 3D Hybrid High-Order Method for the Indefinite Time-Harmonic Maxwell Problem [PDF]
    M. Cicuttin, C. Geuzaine.

Conferences

  • 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2022), 5-9 June 2022, Oslo, Norway
    • Talk: A Hybrid High-Order method for the indefinite time-harmonic Maxwell problem
  • 23rd International Conference on the Computation of Electromagnetic Fields (COMPUMAG), 16-20 January 2022, Cancun, Mexico
    • Poster: A Hybrid High-Order method for the indefinite time-harmonic Maxwell problem
    • Poster: Electrostatic discharge simulation using a GPU-accelerated DGTD solver targeting modern graphics hardware
  • X Congreso Internacional de Matemática Aplicada Y Computacional, 19-28 August 2021, Tingo María, Perú
    • Talk: An introduction to the Hybrid High-Order method and its applications on Maxwell’s equations
  • First Conference on Complexity Analysis of Industrial Systems and Advanced Modeling 22-27 April 2019, Ben Guerir, Morocco
    • Talk: Advances in DiSk++: A Generic Programming Framework for the Implementation of Discontinuous Skeletal Methods
  • SIAM Conference on Mathematical and Computational Issues in the Geosciences 2019 11-14 March 2019, Houston (TX) USA
    • Talk: Advances in DiSk++: A Generic Programming Framework for the Implementation of Discontinuous Skeletal Methods
  • European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2017) 25-29 September 2017, Voss, Norway
    • Talk: Generic programming tools for the implementation of the hybrid high-order method
  • 14th U.S. National Congress on Computational Mechanics 17-20 July 2017, Montreal, Canada
    • Talk: Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming
  • 15th European Finite Element Fair 26-27 May 2017, Milano, Italy
    • Talk: Implementation of Discontinuous Skeletal methods on arbitrary-dimensional, polytopal meshes using generic programming
  • 21st International Conference on the Computation of Electromagnetic Fields (COMPUMAG) 18-22 June 2017, Daejeon, South Korea
    • Talk: GPU accelerated time domain DGA method for wave propagation problems on tetrahedral grids (Presented by Bernard Kapidani). 2nd place Rita Trowbridge Award.
  • 17th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC) 13-16 November 2016, Miami, USA
    • Poster: Adaptivity based on the constitutive error for the Maxwell’s eigenvalue problem on polyhedral meshes
    • Poster: A geometric frequency-domain wave propagation formulation for fast convergence of iterative solvers
    • Poster: A comparative performance analysis of time-domain formulations for wave propagation problems
  • 20st International Conference on the Computation of Electromagnetic Fields (COMPUMAG) 28 June - 2 July 2015, Montreal, Canada
    • Poster: Excitation by Scattering/Total Field Decomposition and Uniaxial PML in the Geometric Formulation
    • Poster: Fast uncertainty quantification of fields and global quantities
    • Talk: Complementary Discrete Geometric h-field Formulation for Wave Propagation Problems
  • 16th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC) 25-28 May 2014, Annecy, France
    • Poster: Plane Wave Excitation for Frequency Domain Electromagnetic Problems by Means of Impedance Boundary Condition

Theses

  • Numerical and experimental methods for the comparison of radiated immunity tests in EMC sites [PDF] [Slides]
    Ph. D. thesis, supervisors prof. R. Specogna and F. Trevisan

  • Un modello integrato control-flow e data-flow per il rilevamento automatico di intrusioni [PDF]
    M. Sc. thesis, supervisor prof. M. Miculan

  • Implementazione distribuita del linguaggio Pascal [PDF]
    B. Sc. thesis, supervisor prof. M. Comini

Computational codes

I keep some of my code at GitHub, the profile name is datafl4sh. You may be interested in DiSk++ and Proton, which are two numerical libraries that I developed.

Recently a little community formed around these libraries, so I am not the only developer anymore. You can find all the details doing a git log on the repos.

  • DiSk++: A template library for discontinuous skeletal methods. This code is a development platform for polyhedral discretization methods like dG, HDG and HHO. The code is capable of solving different problems like:
    • Scalar diffusion [hal]
    • Highly oscillatory elliptic problems using Multiscale HHO [hal]
    • Linear elasticity
    • Eigenvalue problems [hal]
    • Hyperelasticity [hal]
    • Plasticity [hal]
    • Bingham flows [hal]
    • Signorini contact problems
    • Obstacle problems
    • Maxwell time harmonic (DG & HHO)
    • More to come!!!

  • ProtoN: A library for fast Prototyping of Numerical methods. This library was born initially as a throw-away code to explore some other implementation possibilities for the HHO methods, however later started to be useful and it contains a preliminary implementation of the obstacle problem and a preliminary implementation of the Unfitted HHO [hal].

  • A Matlab demo for the 1D HHO method is available here.

Other activities

  • Thesis supervision:
    • Co-supervisor with prof. Marino Miculan of the master thesis of Francesco D’Orlandi.
    • Co-supervisor with prof. Christophe Geuzaine of the master thesis of Marco D’Antonio
  • Reviewer for the following journals:
    • IEEE Transactions on Magnetics
    • Elsevier Journal of Computational and Applied Mathematics (JCAM)
    • SIAM Journal on Scientific Computing (SISC)
    • Springer Journal of Scientific Computing (JOMP)
  • Reviewer for the CEFC 2014 conference
  • Reviewer for the CEFC 2016 conference
  • Reviewer for the CEFC 2018 conference
  • Reviewer for the COMPUMAG 2019 conference
  • Reviewer for the CEFC 2020 conference
  • Reviewer for the COMPUMAG 2021 conference
  • Reviewer for the CEFC 2022 conference