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An ALE ESFEM for solving PDEs on evolving surfaces

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Figure

Figure 1. Γing) computed using an approximation to (2.1), left handmh at tm = 0.0, 0.2, 0.4, 0.6 (vertically descend-plots, and (2.2), right hand plots.
Figure 2. |U mh −u|, tm = 0.2, 0.4, 0.6, plotted on the trian-gulated surfaces displayed in Figure 1.
Figure 3. Zero level set of (4.8) and initial triangulatedsurface Γh(0).
Figure 4. |scending) plotted on triangulated surfaces Γϕ(Xmi , tm)|, tm = 0.5, 1.0, 1.5 (vertically de-mh produced us-ing Scheme A (left) and Scheme B (right).
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