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Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2011) Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Preprintreihe der Fakultät Mathematik 1/2011, Working Paper. (Unpublished)

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Abstract

Deckelnick and Dziuk (2009) proved a stability bound for a continuous-in-time semidiscrete parametric finite element approximation of Willmore flow/elastic flow of closed curves in Rd, d ≥ 2. We extend these ideas in considering an alternative finite element approximation of the same flow that retains some of the features of the formulations in Barrett, Garcke, and Nürnberg (2007b, 2008b, 2010b), ...

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Item Type:Monograph (Working Paper)
Date:2011
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65M60MSC
65M12MSC
35K55MSC
53C44MSC
74E10MSC
Keywords:elastic flow, Willmore flow, Navier boundary conditions, clamped boundary conditions, parametric finite elements, tangential movement, anisotropy
Subjects:500 Science > 510 Mathematics
Status:Unpublished
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Owner: Eva Ruetz
Deposited On:13 Apr 2011 04:08
Last Modified:13 Mar 2014 17:14
Item ID:20501
Owner Only: item control page
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