Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo


Selezionare una sezione
Parola da cercare

Prossimi Seminari

  • Computational Prediction of Blood Damage
    Marek Behr, Chair for Computational Analysis of Technical Systems Faculty of Mechanical Engineering, RWTH Aachen
    lunedì 1 ottobre 2018 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Caputo Evolution Equations with time-nonlocal initial condition
    Lorenzo Toniazzi, University of Warwick
    martedì 9 ottobre 2018 alle ore 15:15, Aula Seminari 3° piano
  • Statistical modeling and monitoring of product and process quality in Additive Manufacturing: opportunities and challenges
    Bianca Maria Colosimo, Dipartimento di Meccanica, Politecnico di Milano
    giovedì 11 ottobre 2018 alle ore 14:00,  Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Elastic waves in soft tissues: inverse analysis, experiments, simulations, validation
    Michel Destrade, Chair of Applied Mathematics at NUI Galway
    giovedì 18 ottobre 2018 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • An overview of some mathematical and computational problems in Network Science
    Michele Benzi, Scuola Normale Superiore, Pisa
    giovedì 22 novembre 2018 alle ore 14:00,  Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    Shigefumi Mori, Kyoto University Institute of Advanced Study
    lunedì 26 novembre 2018 alle ore 16:30, Aula Chisini, Diparimento di Matematica, Via C. Saldini 50

Seminari Passati

  • Numerical modelling of elliptic problems on octree-based meshes
    Alice Raeli, IMAG Institut Montpelliérain Alexander Grothendiec, Montpellier
    mercoledì 21 febbraio 2018 alle ore 10:00, Aula Saleri VI Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    We consider problems governed by a linear elliptic equation with varying coefficients across internal interfaces. The gradient of the solution can undergo significant variations through these internal boundaries. We present a compact finite-difference scheme on a tree-based adaptive grid that can be efficiently solved using a natively parallel data structure.Numerical illustrations are presented in two and three-dimensional configurations. Future perspectives will include the use of Hybrid High-Order methods to increase the approximation order.

  • Realized Peaks over Threshold: a Time-Varying Extreme Value Approach with High-Frequency based Measures
    Luca Trapin, Scuola Normale Superiore
    martedì 20 febbraio 2018 alle ore 12:15 precise, Aula seminari terzo piano
  • Elastic Contact in Fluid-structure Interactions
    Thomas Richter, Universität Magdeburg
    lunedì 19 febbraio 2018 alle ore 14:00, Aula Saleri VI Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    In this talk we address the following fundamental question: what happens if an elastic ball is falling in a container with a viscous fluid towards a rigid wall on the bottom? Will it come to contact? Or will there always remain a thin fluid film between wall and bottom? Will the ball bounce off? Or will the ball come to rest and stick? We start by giving an overview on various results on this topic, computationally, analytically and experimentally. Then in a second part we numerically investigate this challenging problem.

    The possible contact between ball and boundary is a fundamental difficulty for established discretization schemes as it involves topology changes in the domain. For describing the interaction problem between elastic solid and fluid we shortly introduce the ALE approach and discuss its shortcomings in terms of modeling contact. Then, we introduce an alternative Eulerian approach that is well suited for contact problems. This Eulerian approach however brings along new difficulties with respect to discretization.

  • Understanding Heart Tissue through Waves
    D. Nordsletten, Biomedical Engineering Department, King’s College, London
    giovedì 15 febbraio 2018 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    Personalised models of cardiac mechanics have evolved into a powerful tool for studying the human heart in health and disease. Combining detailed information on the heart kinematics extracted from medical images, with mathematical models of cardiac function, patient-specific models provide a mathematical representation of individual hearts. As model parameters are linked to intrinsic tissue properties such as stiffness and contractility, unique and accurate parameter estimates are a prerequisite for the potential translation of personalised models to the clinic.

    In parallel, magnetic resonance elastography (MRE) has evolved into a powerful tool for interrogating material stiffness. MRE has been exploited in the liver, breast, and brain using measured periodic waves to extract material stiffness properties. Transducing waves via external vibrations, MRE provides a more direct measure of the characteristics of tissues and their potential diseases. Integrating this work into the heart is complicated by a myriad of challenges including the inherent cardiac motion of the heart, evolving material properties due to the contractile state of the muscle, and the nonlinear effects of deformation on the apparent stiffness of the material.

    In this talk, we discuss the merger of these two worlds, bridging between the nearly quasi-static model-based assessment of heart function and the high frequency wave-based assessment. In particular, we discuss the simple influence of deformation on apparent stiffness, explaining both from the realm of traditional wave mechanics and biomechanical theory.


    This seminar is organized within the Research project «An Integrated Heart Model for the simulation of the cardiac function – iHEART» Grant Agreement number 740132, funded by ERC (2016-ADG). Principal investigator: Prof. Alfio Maria Quarteroni
  • Macroscopic quantum systems & Measuring apparatuses
    Caterina Foti, Università degli Studi di Firenze
    martedì 13 febbraio 2018 alle ore 14:30 precise, Aula Seminari III piano
    The emergence of classicality is the mechanism that makes us to observe a classical reality despite the fundamental laws of physics being quantum.
    Apart from the neverending diatribe between different interpretations of Quantum Mechanics, what can be considered more or less accepted is that we experience a classical reality due to the continuos interaction between each microscopic component of any physical system and its environment, that can be regarded as the measuring apparatus and must be macroscopic since it contains us as observers. Among the various approaches proposed over the years by different authors to deal with the “quantum-to-classical” crossover, a useful tool is provided by the general method introduced by L. G. Yaffe in 1982 for finding the classical limits as large-N limits of arbitrary quantum theories with N dynamical variables. Such method isolates the minimal structure that any quantum theory should possess in order to have a classical limit. By using Yaffe’s results in the framework of open quantum systems dynamics, one can show that whenever quantum environments have a sensible large-N limit, they evolve as if they were the same measuring apparatus in the classical limit.
  • Regularization Theory and Applications to Photoacoustic Imaging
    Otmar Scherzer, University of Vienna and Radon Institute of Computational and Applied Mathematics (Linz), Austria
    giovedì 8 febbraio 2018 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    In this talk we review recent results on regularization theory of variational regularization methods, such as Tikhonov regularization, which consists in finding the optimizer of a least functional which is perturbed by a convex functional. In particular we are reviewing new convergence rates results for solving Inverse Problemsin Hilbert Spaces.
    Particular emphasize will be given to analyze and interpret the abstract results for photoacoustic imaging and inversion of the spherical mean operator.

  • Critical aspects of Choquard type equations
    Daniele Cassani, Università degli Studi dell’Insubria
    mercoledì 7 febbraio 2018 alle ore 16:30, Aula seminari 3° piano
    We are concerned with a class of nonlocal Schroedinger equations which show up in many different applied contexts. In particular we consider the case in which the nonlinear interaction has critical features. In the classical Sobolev sense, when we are in presence of the Hardy-Littlewood-Sobolev upper-critical exponent, as well as new critical phenomena occur, the so-called ‘bubbling at infinity’, when the nonlinearity exhibits lower-critical growth. Assuming mild conditions on the nonlinearity and by using variational methods, we establish existence, non-existence and qualitative properties of finite energy solutions. Some partial results in the limiting case of dimension two will be also presented.
    (Joint works in collaboration with: J. Zhang; J. Van Schaftingen and J. Zhang; C. Tarsi and M. Yang).
  • Entropy methods for parabolic and elliptic equations
    Jean Dolbeault, Ceremade
    martedì 6 febbraio 2018 alle ore 15:15, Aula seminari 3° piano
    Entropy methods associated with linear and nonlinear parabolic equations are powerful tools for establishing results of symmetry, unique- ness and optimality in functional inequalities. Optimality cases can be identified by considering asymptotic regimes and appropriate lineariza- tions. Entropy methods raise various issues of regularity and rely on integrations by parts which are not straightforward to justify. On the other hand, these methods give optimal criteria in some fundamental examples. This lecture will be devoted to an overview of the state of the art and list some open questions.