Preprints

1. M. Alghamdi, D. Boffi, F. Bonizzoni
   A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
   arXiv:2208.14054
2. M. Alghamdi, F. Bertrand, D. Boffi, F. Bonizzoni, A. Halim, G. Priyadarshi
   On the matching of eigensolutions to parametric partial differential equations
   arXiv:2207.06145 (submitted as ECCOMAS proceeding)
3. F. Bonizzoni, G. Kanschat
   A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity
   arXiv:2207.00309  (submitted as ECCOMAS proceeding)
4. F. Bonizzoni, P. Freese, D. Peterseim
   Super-localized orthogonal decomposition for convection-dominated diffusion problems
   arXiv:2206.01975 (submitted to peer-reviewed journal)
5. F. Bonizzoni, D. Pradovera, M. Ruggeri
   Rational-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots
   arXiv:2112.04302 (submitted to peer-reviewed journal)

Peer-reviewed scientific journals

1. F. Bonizzoni, G. Kanschat

   H¹-conforming finite element cochain complexes and commuting quasi-interpolation operators on cartesian meshes
   Calcolo (2021), 58 (18).
   DOI: 10.1007/s10092-021-00409-6 ( link,  preprint)

2. F. Bonizzoni, F. Nobile

   Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem

   Computers and Mathematics with Applications (2020), 80 (12), 2925 - 2947.

   DOI: 10.1016/j.camwa.2020.10.014 ( link, preprint)

3. F. Bonizzoni, M. Braukhoff, A. Jüngel, I. Perugia

   A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation

   Numerische Mathematik (2020), 146, 119-157

   DOI: 10.1007/s00211-020-01136-w ( link, preprint)

4. F. Bonizzoni, F. Nobile, I. Perugia, D. Pradovera

   Least-Squares Padé approximation of parametric and stochastic Helmholtz maps

   Advances in Computational Mathematics (2020), 46 (46).

   DOI: 10.1007/s10444-020-09749-3 ( link, preprint)

5. F. Bonizzoni, F. Nobile, I. Perugia, D. Pradovera

   Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure

   Mathematics of Computation (2020), 89, 1229-1257

   DOI: 10.1090/mcom/3511 ( link, preprint)

6. F. Bonizzoni, F. Nobile, I. Perugia

   Convergence analysis of Padé approximations for Helmholtz frequency response problems

   ESAIM: Mathematical Modelling and Numerical Analysis (2018), 52 (4), 1261 - 1284.

   DOI: 10.1051/m2an/2017050 ( link, preprint)

7. F. Bonizzoni, F. Nobile, D. Kressner

   Tensor Train approximation of moment equations for elliptic equations with lognormal coefficient

   Computer Methods in Applied Mechanics and Engineering (2016), 308, 349 - 376

   DOI: 10.1016/j.cma.2016.05.026 ( link, preprint)

8. D.N. Arnold, D. Boffi, F. Bonizzoni

   Finite element differential forms on curvilinear cubic meshes and their approximation properties

   Numerische Mathematik, Springer Berlin Heidelberg (2015), 129(1), 1 - 20

   DOI: 10.1007/s00211-014-0631-3 ( link, preprint)

9. F. Bonizzoni, F. Nobile

   Perturbation analysis for the Darcy problem with Log-normal permeability

   SIAM/ASA Journal on Uncertainty Quantification (2014), 2(1), 223 - 244

   DOI: 10.1137/130949415 ( link, preprint)

10. F. Bonizzoni, A. Buffa, F. Nobile

    Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term

    IMA Journal of Numerical Analysis (2014), 34(4), 1328 - 1360

    DOI: 10.1093/imanum/drt041 ( link)

Proceedings

1. Bonizzoni, D. Pradovera 

   Shape optimization for a noise reduction problem by non-intrusive parametric reduced modeling 

   Proceeding in the 14th WCCM-ECCOMAS Congress 2020/2021 
   DOI: 10.23967/wccm-eccomas.2020.300 ( link)

2. F. Bonizzoni, D. Pradovera

   Distributed sampling for rational approximation of the acoustic scattering of an airfoil

   Proceeding in Applied Mathematics and Mechanics - GAMM 2019

   DOI: 10.1002/pamm.201900422 ( link)

3. F. Bonizzoni, F. Nobile

   Perturbation analysis for the stochastic Darcy problem

   Proceeding in ECCOMAS 2012 (European Congress on Computational Methods in Applied Sciences and Engineering)

   ISBN: 9783950353709

Thesis

1. F. Bonizzoni. Advisor: F. Nobile

   Analysis and approximation of moment equations for PDEs with stochastic data

   PhD thesis (2013), Politecnico di Milano, Italy ( link)

2. F. Bonizzoni. Advisors: U. Stefanelli, F. Auricchio

   Un modello di danneggiamento incompleto per materiali a memoria di forma

   Diploma thesis for the class of Sciences and Technologies (2010), Istituto per gli Studi Superiori di Pavia IUSS, Italy

3. F. Bonizzoni. Advisor: D. Boffi

   Calcolo esterno per elementi finiti su mesh distorte

   Master thesis (2009), Universita degli Studi di Pavia, Italy

4. F. Bonizzoni. Advisors: M.P. Bernardi, D. Boffi

   Frattali, sistemi dinamici, caos: introduzione teorica ed esperimenti numerici

   Bachelor thesis (2007), Universita degli Studi di Pavia, Italy