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Adaptivity with moving grids

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<strong>Adaptivity</strong> <strong>with</strong> <strong>moving</strong> <strong>grids</strong> 59<br />

1<br />

1<br />

0.75<br />

0.75<br />

y<br />

0.5<br />

y<br />

0.5<br />

0.25<br />

0.25<br />

0<br />

0 0.25 0.5 0.75 1<br />

(a) Harmonic mapping<br />

x<br />

0<br />

0 0.25 0.5 0.75 1<br />

(b) Winslow’s method<br />

x<br />

1<br />

0.75<br />

y<br />

0.5<br />

0.25<br />

0<br />

0 0.25 0.5 0.75 1<br />

x<br />

(c) New functional<br />

Figure 3.1. Example 1. Adaptive <strong>moving</strong> meshes obtained by the<br />

harmonic mapping method, Winslow’s method, and the method<br />

based on equidistribution and alignment control (2.40) (θ =0.1).

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