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Elastic flow with junctions: Variational approximation and applications to nonlinear splines

URN to cite this document:
urn:nbn:de:bvb:355-epub-220712
Barrett, John W. ; Garcke, Harald ; Nürnberg, Robert
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Date of publication of this fulltext: 07 Sep 2011 06:05


Abstract

We consider stable semidiscrete approximations of parameterized curve networks for gradient flows of elastic type functionals. Here meaningful and relevant conditions at junction points, such as double and triple junctions, need to be derived and suitably discretized. Examples for double junction types are C0 attachment and C1 continuity. We develop strong and weak formulations for the elastic ...

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