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A Barnes-Hut scheme for simulating fault slip

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Figure

Fig. 1. Fault geometry, cell and tree structure of the plane strain Barnes-Hut implementation
Table 1. The summary of the scaling which is NlogN.
Fig. 2. Schematic construction following the system of Fig. 1b, illustrating scaling as the grid extent increases from 16 to 64 cells
Fig. 5. Scaling of execution time with number of elements for nu-cleation with the Barnes-Hut scheme for φ = 0.5 (black symbols),and with the standard method (red symbols) for 100 time steps.Shown for comparisons are lines following N2 and NlogN scaling.
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