Comparison between shape optimization and volumic level set approximation for geometrical functionals

Details Comparison between shape optimization and volumic level set approximation for geometrical functionals Comparison between shape optimization and volumic level set approximation for geometrical functionals

2008-06-07

arxiv.org/abs/0806.1288v2

Mathematics

Numerical Analysis

15 pages

Scientific paper

We propose to differentiate a general curvature functional with two different
approaches. In the first one we compute the derivative with the tools of shape
optimization and in the second one we compute the derivative of a volumic
approximation of the functional with respect to a level set function. We show
that the two previous approaches give the same result.

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