Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Elastic flow with junctions: Variational approximation and applications to nonlinear splines. Preprintreihe der Fakultät Mathematik 30/2011, Working Paper.
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 ...
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|Item Type:||Monograph (Working Paper)|
|Series of the University of Regensburg:||Preprintreihe der Fakultät Mathematik|
|Institutions:||Mathematics > Prof. Dr. Harald Garcke|
|Keywords:||elastic flow, Willmore flow, parametric finite elements, tangential movement, curve networks, junctions, nonlinear splines|
|Dewey Decimal Classification:||500 Science > 510 Mathematics|
|Refereed:||No, this version has not been refereed yet (as with preprints)|
|Created at the University of Regensburg:||Yes|
|Deposited On:||07 Sep 2011 06:05|
|Last Modified:||13 Mar 2014 17:56|