Beschreibung:
<jats:title>Abstract</jats:title>
<jats:p>In the present paper a semilinear boundary control problem is considered. For its numerical solution proper orthogonal
decomposition (POD) is applied. POD is based on a Galerkin type discretization with basis elements created from the
evolution problem itself. In the context of optimal control this approach may suffer from the fact that the basis elements
are computed from a reference trajectory containing features which are quite different from those of the optimally
controlled trajectory. Therefore, different POD basis update strategies which avoid this problem of unmodelled dynamics
are compared numerically.</jats:p>