Denise Grappein
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About me
I am a postoctoral research fellow financed by the Italian Institute of High Mathematics (INdAM), and hosted by the research unit of Politecnico di Torino, in Italy.
I work in the field of Numerical Analysis and on its application to biological, medical and earth science modeling.
My main research interests include mixed-dimensional problems, numerical optimization, immersed problems, and error estimation.

When you don't see me doing some maths you will probably find me on my balcony chatting with my flowers or hiking around the world with my backpack!

Publications



  • A. Buffa, O. Chanon, D. Grappein, R. Vázquez, M. Vohralı́k, An equilibrated flux a posteriori error estimator for defeaturing problems
    SIAM Journal on Numerical Analysis, 62(6), 2439-2458, (2024), https://doi.org/10.1137/23M1627195
  • D. Grappein, S. Scialò, F. Vicini, Extended finite elements for 3D–1D coupled problems via a PDE-constrained optimization approach
    Finite Elements in Analysis and Design, 239, (2024), https://doi.org/10.1016/j.finel.2024.104203
  • S. Berrone, C. Giverso, D. Grappein, L. Preziosi, S. Scialò, An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis, Computers and Mathematics with Applications, 151 (2023), https://doi.org/10.1016/j.camwa.2023.09.046
  • S. Berrone, D. Grappein, S. Scialò, A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions, Numerical Algorithms, (2023), https://doi.org/10.1007/s11075-023-01579-w
  • S. Berrone, D. Grappein, S. Scialò, F. Vicini, A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems, International Journal on Geomathematics, 13(1), (2022), https://dx.doi.org/10.1007/s13137-021-00192-0
  • S. Berrone, D. Grappein, S.Scialò, 3D-1D coupling on non conforming meshes via a three–field optimization based domain decomposition, Journal of Computational Physics, 448, (2022), https://doi.org/10.1016/j.jcp.2021.110738
  • S. Berrone, D. Grappein, S. Pieraccini, S. Scialò, A Three-Field based optimization formulation for flow simulations in networks of fractures on non conforming meshes, SIAM Journal on Scientific Computing, 43(2), (2021), B381-B404, https://doi.org/10.1137/20M1319188

Preprints



Teaching

Activity as support lecturer

Academic Year 2024-2025

  • Modelli e metodi numerici
    Master's Degree in Mechanical Engineering, Politecnico di Torino, (Language: Italian)
  • Metodi Numerici e Calcolo Scientifico
    Master's Degree in Aerospace Engineering, Politecnico di Torino, (Language: Italian)

Academic Year 2023-2024

  • Modelli e metodi numerici
    Master's Degree in Mechanical Engineering, Politecnico di Torino, (Language: Italian)

Academic Year 2022-2023

  • Metodi Numerici e Calcolo Scientifico
    Master's Degree in Aerospace Engineering, Politecnico di Torino, (Language: Italian)

Academic Year 2021-2022

  • Modelli e metodi numerici
    Master's Degree in Mechanical Engineering, Politecnico di Torino, (Language: Italian)
  • Numerical modelling
    Master's Degree in Mechanical Engineering , Politecnico di Torino, (Language: English)

Academic Year 2020-2021

  • Modelli e metodi numerici
    Master's Degree in Mechanical Engineering, Politecnico di Torino, (Language: Italian)
  • Numerical modelling
    Master's Degree in Mechanical Engineering , Politecnico di Torino, (Language: English)

Academic Year 2019-2020

  • Modelli e metodi numerici
    Master's Degree in Mechanical Engineering, Politecnico di Torino, (Language: Italian)