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Licensed Unlicensed Requires Authentication Published by De Gruyter 2022

1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE

From the book Optimization and Control for Partial Differential Equations

  • Marco Bernreuther , Georg Müller and Stefan Volkwein


In this paper, we consider an optimization problem governed by a nonsmooth semilinear elliptic partial differential equation. We apply a reduced order approach to obtain a computationally fast and certified numerical solution approach. Using the reduced basis method and efficient a posteriori error estimation for the primal and dual equations, we develop an adaptive algorithm and successfully test it for several numerical examples.

© 2022 Walter de Gruyter GmbH, Berlin/Boston
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