Adaptivity with moving grids

60 C. J. Budd, W. Huang and R. D. Russell
1
1
0.75
0.75
y
0.5
y
0.5
0.25
0.25
0
0 0.25 0.5 0.75 1
x
(a) t =0
0
0 0.25 0.5 0.75 1
x
(b) t =0.25
1
1
0.75
0.75
y
0.5
y
0.5
0.25
0.25
0
0 0.25 0.5 0.75 1
x
(c) t =0.5
0
0 0.25 0.5 0.75 1
x
(d) t =0.75
Figure 3.2. Example 2. Adaptive moving meshes obtained
by MMPDEs based on the harmonic mapping method.
The circles shown in this and the following figures indicate
the locations where the mesh concentration is anticipated.