- Journal Article
We consider scalar-valued shape functionals on sets of shapes which are small perturbations of a reference shape. The shapes are described by parameterizations and their closeness is induced by a Hilbert space structure on the parameter domain. We justify a heuristic for finding the best low-dimensional parameter subspace with respect to uniformly approximating a given shape functional. We also propose an adaptive algorithm for achieving a prescribed accuracy when representing the shape functional with a small number of shape parameters. Show more
Journal / seriesNumerical Functional Analysis and Optimization
Pages / Article No.
PublisherTaylor & Francis
SubjectModel reduction; Shape calculus; Shape gradient; shape Hessian; Low-rank approximation; power iteration
Organisational unit03632 - Hiptmair, Ralf / Hiptmair, Ralf
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