Head of Dept: Prof. Giulio Magli
Vice-Head of Dept: Prof. Gabriele Grillo
Department Manager: Dr.ssa Franca Di Censo


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Upcoming seminars

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Past Seminars

  • Sobolev imbedding theorem in Lorentz spaces and regularity of solutions of elliptic equations
    Luc Tartar, Carnagie Mellon University- Pittsburgh
    giovedì 1 luglio 2004 alle ore 16:30, aula seminari III piano
    Primo di un ciclo di tre seminari
  • Boundary conditions and fast deblurring models
    Stefano Serra Capizzano, Univ. Insubria-Sede di Como
    lunedì 28 giugno 2004 alle ore 14:30, Aula Seminari MOX-6° piano dip. di matematica
    Anti-reflecting boundary conditions (AR-BC) for blurring models
    were recently introduced (see Serra-Capizzano, SISC, 2003):
    the idea seems promising both from the
    computational and approximation viewpoint. The key point is that,
    under certain symmetry conditions, the AR-BC matrices can be
    essentially simultaneously diagonalized by the (fast) sine transform
    DST I and, moreover, a greater regularity at the border is guaranteed.
    We present a technique for combining AR-BC, regularization processes
    which are unavoidable when the noise is introduced, and linear algebra
    solvers defined ad hoc for the considered structures.
    Extensive numerical simulations which illustrate that the AR-BC can be
    superior to Dirichlet, periodic and reflective BCs in certain
  • Some aspects of nondivergence homogenization
    Luis Caffarelli, Austin University - TX, USA
    venerdì 18 giugno 2004 alle ore 12:00, Aula Consiglio, VII piano, Dip. di Matematica
    Per ulteriori informazioni rivolgersi a
    Fabio Cipriani e Dario Pierotti,
    Dipartimento di Matematica del Politecnico di Milano, tel 23994539, 23994542, fax 23994568.
  • Exponential attractors for nonautonomous equations
    Alain Miranville, Università de Poitiers
    mercoledì 16 giugno 2004
  • Multi point evolutionary optimization without problem specific knowledge and applications to the design of UAV systems
    Jacques Periaux, Pôle Scientifique Dassault Aviation/UPMC
    martedì 15 giugno 2004 alle ore 14:30, Aula Seminari MOX-6° piano dip. di matematica
    It is well known that Evolutionary Algorithms (EAs) can
    provide solutions to design problems that cause difficulty to
    conventional deterministic optimizers. These problems are generally
    multimodal, involve approximations, are non differentiable and deal more
    and more with multi objectives.

    In this lecture, we present recent results of a continuing research into
    improving the speed and robustness of Hierarchical Asynchronous Parallel
    EAS ( HAPEA) as black box optimizers. We will give results showing the
    design and optimization of an airfoil geometrty for an unmanned aerial
    vehicle (UAV) from completely random starting conditions, including
    multi point flaps-up ( cruise) and multi point flaps down (take off)
    design. We compute a set of Pareto Optimal airfoils satisfying both
    specified constraints in both cases, using panels or Euler flow solvers
    coupled with turbulent boundary layers effects.

    We conclude by showing that EAs can provide very efficient solution to
    the design problem, as well as verifying traditional design
    methodologies, whilst not requiring any knowledge of the physics or
    internal workings of the solver used.In addition, although efficient
    shapes are found during the flap-down case, it is shown how an
    occasional modelling limitation of the solver can precipitate spurious

    Finally, we investigate numerically the possibility of extending this
    methodology to the difficult approach of design with unstructured adapted
    mesh Navier Stokes solver.
  • Continuous Time Risk Measures and Evaluations by BSDE
    Shige Peng, Shandong University, Jinan (Cina)
    lunedì 14 giugno 2004 alle ore 17:00, Dipartimento di Matematica - Università degli Studi di Milano - Via Saldini 50 - Milano - Sala di Rappresentanza
  • Astronomia e matematica nell'antico Egitto
    R. Bauval, scrittore
    venerdì 11 giugno 2004 alle ore 12:30, Aula B.21
  • Multidomain simulation of flow in porous media
    Vincent Martin, MOX-Dip. Mate. Polimi
    lunedì 7 giugno 2004 alle ore 11:30, Aula Seminari MOX-6° piano. Dip. di Matematica
    I will present during this seminar the main results of my PhD thesis
    performed at Inria under the direction of Jean Roberts.

    It is mainly concerned with the multidomain simulations
    of flow in porous media. Three different themes are considered.
    First, I present a domain decomposition method with non-matching meshes
    using Robin type interface conditions, for the mixed finite
    elements. Second, this method was implemented in parallel
    using the parallel system OcamlP3l, written in Ocaml by
    computer scientists. In OcamlP3l, the user develops and
    debugs sequentially, and obtains the parallel code
    with a mere recompilation. A realistic 3D simulation is
    given to validate the procedure.
    Finally, we present a new model for flow in a porous medium containing
    large fractures that may have very large and/or very small permeabilities.
    In this model, the fractures are treated as interfaces between subdomains.
    Existence and uniqueness of the solution is proved and an error estimate is
    obtained. Some numerical experiments confirm the theorical results.