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<< November 2017

Veranstaltungskalender Dezember 2017

Januar 2018 >>

3 Einträge gefunden

  • 07. Dezember
    15:30 - 17:00
    Ort: 48-538
    AG Technomathematik

    Irina Kashuba/University of Sao Paulo: Indecomposable Modules over Jordan Superalgebras.

    In this talk we plan to give a survey of both classical and recent results obtained
    in the representation theory of Jordan algebras and superalgebras. Further we
    will construct indecomposable representations of both Kantor double superalgebra
    Kan(n), n  1 and the Jordan superalgebra of symmetric elements JP2. Our
    main tool is the famous Tits-Kantor-Koecher construction. The representations
    are given in terms of Ext quiver algebra of the category of representations with
    the short grading over certain Lie superalgebra. This is joint result with Vera

  • 14. Dezember
    11:30 - 12:15
    Ort: 32-349

    Prof. C. Schillings, Univ. Mannheim, Uncertainty Quantification for Inverse Problems

    Uncertainty Quantification (UQ) is an interesting, fast growing research area aimed at developing methods to address the impact of parameter, data and model uncertainty in complex systems. In this talk we will focus on the identification of parameters through observations of the response of the system – the inverse problem. The uncertainty in the solution of the inverse problem will be described via the Bayesian approach. In cases, where the model evaluations are prohibitively expensive, ad hoc methods such as the Ensemble Kalman Filter (EnKF) for inverse problems are widely and successfully used by practitioners in order to approximate the solution of the Bayesian problem.
    The low computational costs, the straightforward implementation and their non-intrusive nature make them appealing in various areas of application, but, on the downside, they are underpinned by very limited theoretical understanding. In this talk, we will discuss an analysis of the EnKF based on the continuous time scaling limits, whichallows to derive estimates on the long-time behaviour of the EnKF and, hence, provides insights into the convergence properties of the algorithm. In particular, we are interested in the properties of the EnKF for a fixed ensemble size. Results from various numerical experiments supporting the theoretical findings will be presented.

  • 14. Dezember
    12:15 - 13:00
    Ort: 32-349

    J. Kusch, KIT, An approximate Newton Smoothing Method for Shape Optimization

    In this talk, we derive a smoothing method for shape optimization in Stokes and Navier-Stokes flows. The smoothing routine automatically picks a spatially dependent smoothing parameter in such a way that the optimization process is accelerated, turning the smoothing routine into an approximate Newton method.
    This task is achieved by analytically deriving the symbol of the Hessian for the Stokes equations. We numerically investigate the Hessian symbol for convective flows and demonstrate the applicability of the symbol for the Navier-Stokes equations.
    The constructed preconditioner approximates the derived symbol using windowed Fourier transform and thereby accelerates the optimization process while yielding a smooth search direction. Due to the fact that the smoothing is performed locally, the method will identify areas in which a non-smooth design is physically meaningful and will automatically turn off smoothing in these regions.