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arXiv 2005.07448math.NAcs.NAmath.DGmath.OC
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Sobolev Gradients for the Möbius Energy

Philipp Reiter, Henrik Schumacher

英文摘要:

Aiming at optimizing the shape of closed embedded curves within prescribed isotopy classes, we use a gradient-based approach to approximate stationary points of the Möbius energy. The gradients are computed with respect to Sobolev inner products similar to the $W^{3/2,2}$-inner product. This leads to optimization methods that are significantly more efficient and robust than standard techniques based on $L^2$-gradients.

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