Politecnico di Milano
PhD School
Mathematical Models and Methods in Engineering
Politecnico di Milano Department of Mathematics "Francesco Brioschi"

Coordinator:   Prof. Roberto Lucchetti
Dipartimento di Matematica
DEPARTMENT OF
MATHEMATICS
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PhD Research

2013

Candidate Title Advisor
Laura Azzimonti Blood flow velocity field estimation via spatial regression with PDE penalization Piercesare Secchi
Francesca Bonizzoni Analisys and approximation of moment equations for PDEs with stochastic data Fabio Nobile
Gaetano Fileccia A particle filter approach to parameter estimation in stochastic volatility models with jumps for crude oil market Carlo Sgarra
Ilaria Lucardesi Compliance optimization for thin elastic structures Ilaria Fragalà
Giovanni Migliorati Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDE with stochastic data Fabio Nobile
Simone Pezzuto Mechanics of the heart: constitutive issues and numerical experiments Davide Ambrosi
Davide Pigoli Covariance operators as object data: statistical methods and applications Piercesare Secchi
Aiman Fadel Nur HPC simulation of sedimentary basin Luca Formaggia
Alessandro Melani Adjoint-based parameter estimation in human vascular one dimension models Luca Formaggia
Stefano Bosia On some multi-phase problems in continuum mechanics Maurizio Grasselli
Nadia Bigoni Mimetic finite difference methods for non-linear and control problems Paola Antonietti
Laura Cattaneo FEM for ODEs with unfitted interfaces: application to flow through heterogeneous media and microcirculation Paolo Zunino
Andrea Ghiglietti Statistical properties of urn models in response-adaptive designs Anna Maria Paganoni
Alessandro Mazzetti Numerical modeling and simulation of combustion processes in hybrid rocket engines Paolo Barbante
Raimondo Penta Multiscale homogenization and its aplication to tumor biology: fluid and drug transport and poro mechanics of growing materials Davide Ambrosi
Andrea Cosso Probabilistic representation of some classes of nonlinear PDEs and connections with stochastic optimal control and stochastic analysis Marco Fuhrman
Filippo Dell'Oro Asymptotic analysis of evolution equations with nonclassical heat conduction Vittorino Pata
Alessandro Zilio On monotonicity formulae, fractional operators and strong competition Gianmaria Verzini
Susanna Carcano Finite element methods and discontinuous Galerkin methods for the numerical modeling of multiphase gas particle flows Luca Bonaventura
Mattia Penati Mathematical and numerical modeling in geodynamic applications Edie Miglio
Paolo Zanini Blind sources separation methods for high dimensional, massive, and complex data Piercesare Secchi
Anna Zanzottera Microstructure evolution in martensitic transformation and crystal plasticity Paolo Biscari
Inad Nawajah Bayesian anallysis of home care congitudinal counts data Alessandra Guglielmi

2012

Candidate Title Advisor
Alessio Fumagalli Numerical modelling of flows in fractured porous media by the XFEM method Luca Formaggia
Francesca Ieva Statistical methods for classification in cardiovascular healthcare Anna Maria Paganoni
Chiara Lelli Characterization of delayed after-depolarization in extended FitzHugh-Nagumo models Paolo Biscari
Ilario Mazzieri Non-conforming high order methods for the elastodynamics equation Alfio Quarteroni, Francesca Rapetti
Matteo Pischiutta Mathematical and numerical modelling of the evolution of mixtures of sand in aeolian dunes Luca Formaggia, Fabio Nobile
Matteo Pozzoli Efficient partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics Fabio Nobile, Christian Vergara
Lorenzo Tamellini Polynomial approximation of PDEs with stochastic coefficients Fabio Nobile
Valeria Vitelli Classification of functional data in the presence of spatial dependence. Methods, algorithms and case studies Piercesare Secchi
Oznur Yeldan A stochastic continuous cellular automata traffic model with fuzzy decision rules Alberto Colorni

2011

Candidate Title Advisor
Paolo Finotelli Strain-induced defects in nematic elastomers Paolo Biscari
Luca Galantucci Superfluid flows in wall-bounded geometries Maurizio Quadrio
Monica Gamba Study of parameter dependence for hyperbolic systems Gianni Arioli

2010

Candidate Title Advisor
Marco Carnini A comparison of computational models of gas-surface interaction Aldo Frezzotti
Paola Curci Modellazione e simulazione numerica di onde su domini illimitati Stefano Micheletti
Paolo Ferrandi Wave propagation phenomena in inhomogeneous and anisotropic media Stefano Micheletti
Loredana Gaudio Spectral element discretization of optimal control problems Alfio Quarteroni
Gian Pietro Ghiroldi GPU acceleration of rarefied gas dynamic Simulations Aldo Frezzotti
Lucia Mirabella Numerical methods for cardiovascular problems: computational electrocardiology and fluid dynamics in moving domains Alessandro Veneziani
Anna Scotti A numerical model for generation, retention and expulsion of hydrocarbons from source rock Luca Formaggia

2009

Candidate Title Advisor
Marco Compagnoni Geometrical aspects of D-Branes in non-compact manifolds Sergio Cacciatori
Mariarita De Luca Mathematical and numerical models for cerebral aneurysms wall mechanics Alessandro Veneziani, Anne Marie Robertson
Achille Frigeri Definability problems in Z and in Zp Alessandra Cherubini, Christian Choffrut
Sara Minisini Mathematical and numerical modeling of controlled drug release Luca Formaggia, Paolo Zunino
Andrea Mola Models for Olympic rowing boats Luca Formaggia, Muhammad Hajj
Claudia Nuccio Word equations on semigroups and monoids Alessandra Cherubini
Tiziano Passerini Computational hemodynamics of the cerebral circulation: Multiscale modeling from the circle of Willis to cerebral aneurysms Alessandro Veneziani
Mauro Perego Mathematical and numerical models for focal cerebral ischemia and electrocardiology Alessandro Veneziani
Paola Radrizzani Game theory and microarray data analysis Roberto Lucchetti