Research Interests and Activities

  • Numerical Analysis, Numerical Simulation, Scientific Computing
  • Reduced Order Modelling and Methods: special focus on viscous flows and complex geometrical parametrizations
  • Efficient Reduced-Basis Methods for parametrized PDEs and a posteriori error estimation
  • Computational Fluid Dynamics (Aero-Naval-Mechanical Engineering, Blood Flows (Haemodynamics), Environmental Fluid Dynamics)
  • Linear Elasticity
  • Heat and Mass Transfer
  • Potential Flows
  • Fluid-structure Interaction Problems
  • Small Perturbation Theory in Fluid Mechanics and Linearized Shape design
  • Parametrized Navier-Stokes Equations: Bifurcations and stability of flows
  • Optimal Control, Flow Control based on PDEs
  • Optimal Shape Design; Shape Optimization; Shape Reconstruction; Shape Registration;
  • Free-Form Deformations and Radial Basis Functions
  • Uncertainty quantification, data assimilation, parameter estimation.
  • Optimization and Inverse Problems.

 

Books

 

Past Projects

 

Past Phd Thesis

Past Master Thesis

Current students: Emiliano Cangemi (Politecnico di Milano, Aero.Eng), Alessandro D’Amario (Politecnico di Milano, Aero.Eng), Luca Valsecchi (Politecnico di Milano, Aero.Eng), Davide Torlo (UniTS), Luca Venturi (UniTS).

  • Davide Forti
    Comparison of Shape Parametrization Techniques for Fluid-Structure Interaction Problems [link] (2012, Aerospace Engineering at Politecnico di Milano).
  • Paolo Pacciarini
    Stabilized reduced basis method for parametrized advection-diffusion PDEs [link] (2012, Mathematics at University of Pavia)
  • Federico Negri
    Reduced basis method for parametrized optimal control problems governed by PDEs
    [link], (2011, Mathematical Engineering at Politecnico di Milano).
  • Anwar Koshakji
    Free Form Deformation Techniques for 3D Shape Optimization Problems [link] (2011, Aerospace Engineering at Politecnico di Milano)
  • Alberto Trezzini
    Reduced Basis Method for 3D problems governed by parametrized PDEs and applications [link] (2010, Aerospace Engineering at Politecnico di Milano).
  • Fabrizio Gelsomino
    Exploration and comparison of reduced order modelling techniques [link] (2009, Mathematical Engineering, EPFL). 
  • Claudia Gunther
    Optimization of racing car components using reduced basis (potential, thermal and Stokes flow) [link] (2008, Applied Math, Aachen University). 
  • Roberto Milani
    Reduced Basis and Optimization in Linear Elasticity [link] (2006, Aerospace Engineering at Politecnico di Milano)
  • Annalisa Quaini
    Optimal Control and Reduced Basis Techniques [link] (2005, Aerospace Engineering at Politecnico di Milano).
  • Luca Dede’
    Optimal Control and Mesh Adaptivity [link] (2004, Aerospace Engineering at Politecnico di Milano).

Some posters on my research activity:

More info about me on:

[math genealogy]

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