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Seminar by Tommaso Taddei
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    :bdg-primary-line:`Speaker`

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        Tommaso Taddei (INRIA Bordeaux Sud-Ouest)

    :bdg-primary-line:`Title`

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        One-shot domain-decomposition methods for component-based model order reduction

    :bdg-primary-line:`Date`

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        * March 28, 2023 16:00 CEST+0200 (Europe/Rome)
        * March 28, 2023 10:00 EDT-0400 (US/Eastern)
        * March 28, 2023 09:00 CDT-0500 (US/Central)
        * March 28, 2023 07:00 PDT-0700 (US/Pacific)

    :bdg-primary-line:`Abstract`

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        We discuss the development of optimization-based (one-shot) procedures
        for component-based (CB) model order reduction (MOR) of parametric
        nonlinear PDEs. We first devise a constrained optimization procedure
        that minimizes jumps at components’ interfaces subject to the
        (approximate) satisfaction of the PDE in each component. Then, we
        introduce suitable low-dimensional control variables to recast the
        optimization problem into an unconstrained nonlinear least-square
        problem that can be effectively solved using the Gauss-Newton method
        (GNM). We consider both overlapping and non-overlapping domain
        partitions; furthermore, we apply our method to a nonlinear neo-Hookean
        problem and to an incompressible Navier-Stokes problem, to demonstrate
        its effectiveness.

    :bdg-primary-line:`Recording`

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        Watch the recording on `our YouTube channel <https://www.youtube.com/watch?v=BIOd2xxlxsM>`_.