| Abstract: |
| In this talk, we are concerned with a numerical algorithm for the motion of
hypersurfaces/curves by the fourth order geometric equations such as the Willmore
flow equation. The algorithm we introduce here was
first proposed by Bence, Merriman and Osher in 1991 to numerically compute mean
curvature flows. Our algorithm is an application of theirs and we use the fourth order
heat equation instead of the second order one. We present the asymptotic expansion
of the solution for the fourth order heat equation and the consistency result.
This talk is based on my joint work with Professors Y. Kohsaka (Kobe U.), N. Miyake
(Kyushu U.) and K. Sakakibara (Kanazawa U. \& RIKEN). |
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