Publications
Preprints
- M. Alghamdi, D. Boffi, F. Bonizzoni
A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs
arXiv:2208.14054 - 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) - F. Bonizzoni, G. Kanschat
A Tensor-Product Finite Element Cochain Complex with Arbitrary Continuity
arXiv:2207.00309 (submitted as ECCOMAS proceeding) - F. Bonizzoni, P. Freese, D. Peterseim
Super-localized orthogonal decomposition for convection-dominated diffusion problems
arXiv:2206.01975 (submitted to peer-reviewed journal) - 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
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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) -
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.
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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
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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).
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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
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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.
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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
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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
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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
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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
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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) -
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)
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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
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F. Bonizzoni. Advisor: F. Nobile
Analysis and approximation of moment equations for PDEs with stochastic data
PhD thesis (2013), Politecnico di Milano, Italy ( link)
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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
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F. Bonizzoni. Advisor: D. Boffi
Calcolo esterno per elementi finiti su mesh distorte
Master thesis (2009), Universita degli Studi di Pavia, Italy
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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