EXAMPLE 1: A.-C. evolution
Zero level set of the Allen-Cahn evolution at time
t=0.05
Allen-Cahn evolution at times 0.05, 0.10, 0.15, 0.20
Hausdorff distance interface errors
| eps |
0.4 |
0.28 |
0.2 |
| h |
0.04 |
0.028 |
0.02 |
| t=0.05 |
0.036 |
0.030 |
0.028 |
| t=0.10 |
0.042 |
0.038 |
0.042 |
| t=0.15 |
0.066 |
0.047 |
0.055 |
| t=0.20 |
0.166 |
0.076 |
0.064 |
Comparison at time t=0.05.
light: exact solution.
dark: Allen-Cahn approximation.
Comparison at time t=0.10.
light: exact solution.
dark: Allen-Cahn approximation.