Thursday, September 26, 2019 - 09:00 in H10
PDE constrained optimization with pointwise constraints on the derivative of the state
A talk in the Keine Reihe series by
Winnifried Wollner from TU Darmstadt
| Abstract: |
In many processes modeled by partial differential equations (PDE)
the, pointwise, size of the gradient is a key quantity. Prominent examples for this
are damage or plasticity models. In the optimization of such processes pointwise
constraints on the gradient are natural. The numerical analysis of these problems is
complicated by the fact, that the natural topology coming from the PDE is too weak
for handling the bounds on the gradient.
Within this talk, we will discuss existence of solutions to such problems as well
as their approximability by finite elements with particular emphasis on non-smooth
domains.
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