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Schiela, Anton ; Ortiz, Julián:
Second order directional shape derivatives.
Bayreuth
,
2017
. - 29 p.
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Abstract in another language
We propose a variant in the definition of a second order shape derivative. The result is a quadratic form in terms of one perturbation vector field that yields a second order quadratic model of the perturbed functional. We discuss the structure of this derivative, derive domain expressions and Hadamard forms in a general geometric framework, and give a detailed geometric interpretation of the arising terms.
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- Second order directional shape derivatives. (deposited 25 Mar 2017 22:00) [Currently Displayed]