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Seminar by Michael Hinze
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    :bdg-primary-line:`Speaker`

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        Michael Hinze (Universität Koblenz)

    :bdg-primary-line:`Title`

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        The reduced basis method with error equivalence for constrained optimal control with PDEs

    :bdg-primary-line:`Date`

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        * May 02, 2023 16:00 CEST+0200 (Europe/Rome)
        * May 02, 2023 10:00 EDT-0400 (US/Eastern)
        * May 02, 2023 09:00 CDT-0500 (US/Central)
        * May 02, 2023 07:00 PDT-0700 (US/Pacific)

    :bdg-primary-line:`Abstract`

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        We present a reduced-basis approach for optimal control problems with
        constraints, which for a required tolerance seems to deliver lower
        dimensional RB spaces than reported in the literature so far. Moreover,
        the approach allows to prove an error equivalence similar to those known
        from finite element a posteriori error analysis of PDE constrained
        optimization problems. Numerical test confirm our theoretical findings.
        
        Related article can be found in (Ali and Hinze 2020).
        
        This is joint work with Ahmad Ahmad Ali.
        
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              Ali, Ahmad Ahmad, and Michael Hinze. 2020. “Reduced Basis
              Methods–an Application to Variational Discretization of
              Parametrized Elliptic Optimal Control Problems.” *SIAM Journal on
              Scientific Computing* 42 (1): A271–91.
              https://doi.org/10.1137/18M1227147.

    :bdg-primary-line:`Recording`

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        Watch the recording on `our YouTube channel <https://www.youtube.com/watch?v=sRZXGEOSA2Q>`_.