Optimal shape design for elliptic equations viaBIE

@inproceedings{Eppler1998OptimalSD,
  title={Optimal shape design for elliptic equations viaBIE},
  author={Karsten Eppler},
  year={1998}
}
For a shape optimization problem a special approach for the description of the boundary variation is investigated. This, together with the use of a potential ansatz for the state, allows a natural embedding of the problem in a Banach space. Therefore, the standard diierential calculus can be applied in order to prove Fr echet-diierentiability of the objective for appropriately choosen data (suuciently smooth). Moreover, necessary optimality conditions are obtained, which can be expressed in… CONTINUE READING
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