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A Parametric Finite Element Method for Forth Order Geometric Evolution Equations

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2007) A Parametric Finite Element Method for Forth Order Geometric Evolution Equations. Journal of Computational Physics 222 (1), pp. 441-467.

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Abstract

We present a finite element approximation of motion by minus the Laplacian of curvature and related flows. The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junctions. On introducing a parametric finite element approximation, we prove stability bounds and compare our scheme with existing approaches. It turns out that the new scheme has ...

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Item Type:Article
Date:2007
Institutions:Mathematics > Prof. Dr. Harald Garcke
Classification:
NotationType
65M60MSC
65M12MSC
35K55 MSC
Keywords:surface diffusion, Willmore flow, triple junctions, fourth order parabolic problem, parametric finite elements, Schur complement, tangential movement.
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Partially
Owner: Eva Ruetz
Deposited On:01 Apr 2010 09:04
Last Modified:13 Mar 2014 13:12
Item ID:13831
Owner Only: item control page
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