Barrett, John W., Garcke, Harald and Nürnberg, Robert (2006) Numerical Approximation of Anisotropic Geometric Evolution Equations. IMA Journal of Numerical Analysis. (In Press)
| 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 ...
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 |
| Dewey Decimal Classification: | 500 Science > 510 Mathematics |
| Status: | In Press |
| Refereed: | Yes, this version has been refereed |
| Created at the University of Regensburg: | Yes |
| Item ID: | 568 |
Owner only: item control page
Download Statistics