Startseite UB

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)

[img]
Preview
PDF
preprint
Download (1MB)

Abstract

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 ...

plus


Export bibliographical data

Item Type:Article
Date:2006
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
Subjects:500 Science > 510 Mathematics
Status:In Press
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Eva Ruetz
Deposited On:19 Jan 2007
Last Modified:13 Mar 2014 09:41
Item ID:568
Owner Only: item control page
  1. University

University Library

Publication Server

Contact person
Gernot Deinzer

Telefon 0941 943-2759
Contact