Seminar by Michael Hinze

Speaker

Michael Hinze (Universität Koblenz)

Title

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

Date

• 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)

Abstract

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.

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.

Recording

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