Friday, October 1, 2021 - 09:00 in V2-210/216
Finite element discretization of an optimal control problem with p-structure
A talk in the BI.discrete Workshop series by
Adrian Hirn from Esslingen
| Abstract: |
This talk deals with the finite element approximation of an optimal control problem that involves an elliptic equation with p-structure (e.g., the p-Laplacian) as a constraint. A standard procedure for the finite element analysis of an optimal control problem consists in deriving first order optimality conditions and exploiting the properties of the adjoint state. However, for the p-Laplacian the existence of a suitable adjoint state can not be guaranteed in the standard setting. Without using adjoint information, we derive a priori error estimates for the convergence of the cost functional for both variational discretization and piecewise constant controls.
Attendance is only possible after registration with the organizers and with 3G-certificate.
Within the CRC this talk is associated to the project(s): A7, B7 |
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