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Prossimi Seminari

  • Models of living tissues, incompressible limit and free boundary
    Benoit Perthame, Laboratoire J.-L. Lions, Université Pierre et Marie Curie, Paris
    giovedì 28 settembre 2017 alle ore 11:15, Aula Consiglio VII Piano, Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • On multi-curve models for the term structure of interest rates
    Wolfgang J. Runggaldier, Università degli Studi di Padova
    martedì 3 ottobre 2017 alle ore 14:00 precise, Seminar Room (6th Floor)
  • Stabilized methods and inf-sup conditions
    Tomas Chacon Rebollo, Instituto de Matematicas, Universidad de Sevilla
    mercoledì 4 ottobre 2017 alle ore 14:00, Aula Seminari “F. Saleri”, MOX
  • Il test del DNA per l’identificazione criminale: dalla biologia al calcolo delle probabilità
    Marco Bramanti e dott. Giorgio Portera, Dipartimento di Matematica, Politecnico di Milano
    mercoledì 4 ottobre 2017 alle ore 15:00, Aula Consiglio, 7° piano, edificio Nave, via Bonardi, 9 – Milano
  • Use of Routine Databases in the Design and Analysis of Surgical Trials
    Linda Sharples, London School of Hygiene and Tropical Medicine
    giovedì 5 ottobre 2017 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Spiralling solutions in limiting profiles of competition-diffusion systems
    Susanna Terracini, Università di Torino
    venerdì 6 ottobre 2017 alle ore 14:30 precise, Sala Consiglio, 7 piano, Edificio La Nave, Via Bonardi 9
  • Tettonica delle placche polarizzata e terremoti
    Carlo Doglioni, Dipartimento di Scienze della Terra, Università La Sapienza, Roma
    martedì 17 ottobre 2017 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • SPECTRAL THEORY, SUM RULES AND LARGE DEVIATIONS
    Barry Simon, California Institute of Technology
    lunedì 30 ottobre 2017 alle ore 16:30, Aula Chisini, via Saldini 50
  • RANDOMNESS IN PARTIAL DIFFERENTIAL EQUATIONS
    Felix Otto, Max Plank Institute, Leipzig
    lunedì 20 novembre 2017 alle ore 16:30, Aula Chisini, via Saldini 50
  • Multi-scale and multi-physics modeling of complex flow and transport processes for energy storage in the subsurface
    Rainer Helmig, Department of Hydromechanics and Modelling of Hydrosystems, University of Stuttgart
    giovedì 23 novembre 2017 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Numerical simulations of non-ideal compressible-fluid flows
    Alberto Guardone, Dipartimento di Scienze e Tecnologie Aerospaziali, Politecnico di Milano
    giovedì 30 novembre 2017 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Five Decades of Time Parallel Time Integration: Best Current Methods for Parabolic and Hyperbolic Problems
    Martin Gander, Section de Mathématiques, Université de Geneve
    giovedì 14 dicembre 2017 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • Combining in vitro and in silico approaches towards patient-specific cardiovascular investigations
    Gabriele Dubini, Department of Chemistry, Materials and Chemical Engineering G. Natta, Politecnico di Milano
    giovedì 18 gennaio 2018 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
  • 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
  • TBA
    Rolf Krause, Center for Computational Medicine in Cardiology, Università della Svizzera italiana,
    giovedì 22 febbraio 2018 alle ore 14:00, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO


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  • Large-scale simulations with unfitted finite element techniques
    Santiago Badia, Universitat Politècnica de Catalunya, Barcelona
    giovedì 14 settembre 2017 alle ore 11:30, Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
    ABSTRACT
    The use of unfitted finite element methods (FEMs) is an appealing approach for different reasons. They are interesting in coupled problems or to avoid the generation of body-fitted meshes. One of the bottlenecks of the simulation pipeline is the body-fitted mesh generation step and the unstructured mesh partition. The use of unfitted methods on background octree Cartesian meshes avoids the need to define body-fitted meshes, and can exploit efficient and scalable space-filling curve algorithms. In turn, such schemes complicate the numerical integration, imposition of Dirichlet boundary conditions, and the linear solver phase. The condition number of the resulting linear system does depend on the characteristic size of the cut elements, the so-called small cut cell problem.
    In this work, we will present an parallel unfitted framework that relies on adaptive octree background meshes and space-filling curve partitioners. In order to solve the small cut cell problem, we will pursue two different lines. The first one is a re-definition of the finite element spaces that solves this issue, leading to condition number bounds as the ones for body-fitted schemes without any kind of perturbation/stabilization of the Galerkin formulation. Another approach will be to define appropriate iterative linear solvers based on domain decomposition preconditioning that are robust with respect to the small cut cell problem.
    We will briefly present the linear solver machinery within out framework, based on highly scalable multilevel domain decomposition methods for the simulation of large scale finite element problems. Our motivation here is not only to show the excellent scalability results of the preconditioners resulting from the framework, but also to present its customization to challenging applications, e.g., space-time parallelism and heterogeneous problems. Finally, its application to challenging engineering problems, e.g., the simulation of superconductor devices or additive manufacturing will be considered.
    Contatto: christian.vergara@polimi.it

    contact:christian.vergara@polimi.it
  • The theory of quantum statistical comparison with some applications to quantum information science
    Francesco Buscemi, Nagoya University
    martedì 12 settembre 2017 alle ore 15:00, Aula Seminari III piano
    ABSTRACT
    In mathematical statistics a central role is played by the notion of statistical models (or, equivalently, statistical experiments). These objects, which can be imagined as families of probability distributions, are often used to describe the statistician’s state of knowledge about an unknown parameter. It is then natural to compare statistical models on the basis of their “information content.” This kind of problems led in the 1950s to the formulation of a whole new theory, sometimes named “statistical comparison theory,” which soon developed into a very deep field with many applications, ranging from mathematical statistics, to physics and economics. In this lecture I will present an overview of the basic ideas of statistical comparison, some possible generalizations to the quantum setting, and a few applications in quantum thermodynamics, entanglement theory, quantum measurement theory, and the theory of open quantum systems.
  • Modelling cell movement: from tissue organisation to disease
    Kevin Painter, Heriot-Watt University, Edinburgh, UK
    lunedì 4 settembre 2017 alle ore 14:30, Aula Seminari III piano
    ABSTRACT
    Cells move and position themselves according to various environmental cues, ranging from short range adhesive and repulsive interactions with other cells to long range guided responses due to chemicals.Cells move and position themselves according to various environmental cues, ranging from short range adhesive and repulsive interactions with other cells to long range guided responses due to chemicals. In this talk I will describe the modelling of these fundamental processes from both the individual and continuous scale, and discuss their application in areas ranging from developmental biology to cancer invasion. Along the way I will discuss the numerous modelling, numerical and analytical challenges posed. In this talk I will describe the modelling of these fundamental processes from both the individual and continuous scale, and discuss their application in areas ranging from developmental biology to cancer invasion. Along the way I will discuss the numerous modelling, numerical and analytical challenges posed.
  • Multivariate Splines and Their Applications
    Ming-Jun Lai, Dept. of Math. University of Georgia, Athens, GA, USA
    giovedì 20 luglio 2017 alle ore 14:00, Aula Consiglio, VII piano – Dipartimento di Matematica, Politecnico di Milano – Edificio 14
    ABSTRACT
    Multivariate splines are piecewise polynomial or rational functions over a collection of polygons. We shall explain some approximation properties of these splines and construction of locally supported basis functions. Then I will explain how to use them for numerical solution of linear and nonlinear partial differential equations and data fitting for statistical analysis. Our approach is based on barycentric coordinates (BB form) and generalized barycentric coordinates (GBC). The smoothness conditions, boundary conditions or interpolatory conditions will be set up as linear constraints when we minimize energy functional associated with the PDE to be solved or data to be fitted. Our approach enables us to use higher order polynomials and the smoothness higher than continuity easily. Several numerical examples of PDE and data fitting will be shown.
  • Doubly nonlocal Cahn-Hilliard equations
    Ciprian G. Gal, Florida International University, Miami, USA
    venerdì 14 luglio 2017 alle ore 11:00, Aula seminari 3° piano
    ABSTRACT
    We consider a doubly nonlocal nonlinear parabolic equation
    which describes phase-segregation of a two-component material in a
    bounded domain. This model is a more general version than the recent
    nonlocal Cahn–Hilliard equation proposed by Giacomin and Lebowitz,
    such that it reduces to the latter under certain conditions. It turns
    out that there are four possible cases of double interaction in which
    the nonlocality is reflected, we shall discuss some of them.
  • A Three-Field Formulation for Poroelasticity
    Ricardo Ruiz Baier, Mathematical Institute, University of Oxford
    mercoledì 12 luglio 2017 alle ore 11:30, MOX, Aula Saleri, Dipartimento di Matematica, VI piano
    ABSTRACT
    In this talk we present a stable and convergent conforming finite element method for the discretisation of the linear poroelasticity equations in a new formulation, where the volumetric contributions to the total stress are merged into an additional unknown. The resulting saddle point formulation can be analysed by means of a Fredholm alternative, after realizing that the problem is a compact perturbation of a Stokes-like invertible system. A generic Galerkin scheme is constructed, whose solvability properties follow closely those from the continuous variational form, and more importantly, given that specific finite dimensional spaces are chosen adequately, it is stable even in the incompressible limit.
    Contatto: luca.formaggia@polimi.it
  • Quantum Markov Chains and Associated Open Quantum Random Walks
    Ameur Dhahri, Chungbuk National University
    martedì 11 luglio 2017 alle ore 14:00 precise, Aula Seminari III piano
    ABSTRACT
    We establish the connection between Open Quantum Random Walks and the Quantum Markov Chains. In particular, we construct tow kinds of Quantum Markov Chains associated with Open Quantum Random Walks. Finally, we study the recurrence, transience and the property of accessibility associated to these Quantum Markov Chains.
  • Glauber Dynamics on the Cycles: Spectral Distribution of the Generator
    Hyun Jae Yoo, Hankyong National University
    martedì 11 luglio 2017 alle ore 15:00 precise, Aula Seminari III piano
    ABSTRACT
    We consider Glauber dynamics on finite cycles. By introducing a vacuum state we consider an algebraic probability space for the generator of the dynamics. We obtain a quantum decomposition of the generator and construct an interacting Fock space. As a result we obtain a distribution of the generator in the vacuum state.

    We also discuss the monotonicity of the moments of spectral measure as the couplings increase.

    In particular, when the couplings are assumed to be uniform, as the cycle grows to an infinite chain, we show that the distribution (under suitable dilation and translation) converges to a Kesten distribution.