Numerics for the averaged mean curvature flow for curves

Uwe F. Mayer

System:AMD 486dx4 (133MHz) running Linux
Computation time:1 hour, 40 minutes
Discretization:time step = 0.000001, spatial resolution = 0.05
Vertices:Initially 105
Comment:The smaller loop of a limacon tightens and develops a singularity.


The initial configuration.
After 700,000 time steps.

After 1,100,000 time steps.

After 1,176,000 time steps.

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mayer@math.utah.edu
Last updated: 04/21/97