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Sobolev Gradients for the Möbius Energy

Sobolev Gradients for the Möbius Energy

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2585634500

Sobolev Gradients for the Möbius Energy

About this item

Full title

Sobolev Gradients for the Möbius Energy

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Archive for rational mechanics and analysis, 2021-11, Vol.242 (2), p.701-746

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

Scope and Contents

Contents

Aiming to optimize 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 ar...

Alternative Titles

Full title

Sobolev Gradients for the Möbius Energy

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2585634500

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2585634500

Other Identifiers

ISSN

0003-9527

E-ISSN

1432-0673

DOI

10.1007/s00205-021-01680-1

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