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Numerical Approximation of Anisotropic Geometric Evolution Equations

Barrett, John W. and Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)

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We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junction points. On introducing a parametric finite element approximation, we prove stability bounds and report on numerical experiments, including ...


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Item Type:Article
Institutions:Mathematics > Prof. Dr. Harald Garcke
Keywords:anisotropic surface diffusion; mean curvature flow; crystalline surface; energy; triple junctions; parametric finite elements, Schur complement, tangential movement
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:In Press
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Deposited On:19 Jan 2007
Last Modified:13 Mar 2014 09:41
Item ID:568
Owner Only: item control page


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