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Fast numerical methods for Bernoulli free boundary problems

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Figure

Fig. 1.“domains of influence” (dark grey area: shock-like domain, light grey area: rarefaction-like domain);right: definition of the local angles Left: general view of the geometry involved in the local extension step and corresponding α and β.
Table 1
Fig. 2.as a function of the iteration number; left: Exampleare in the obvious order: from top to bottom, Convergence history of the iterations: maximum value of |u| on the current interface 1, right: Example 2
Fig. 3.N = 100 Evolution of the interface for Example 2 at the initial step and after steps 1, 2, and 15).

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