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

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.

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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 ...

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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65M60MSC
65M12MSC
35K55MSC
53C44MSC
74E10MSC
41A15MSC
Keywords:elastic flow, Willmore flow, parametric finite elements, tangential movement, curve networks, junctions, nonlinear splines
Subjects:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Universitätsbibliothek Regensburg
Deposited On:07 Sep 2011 06:05
Last Modified:13 Mar 2014 17:56
Item ID:22071
Owner Only: item control page

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