Hyperbolic orthogonal ring patterns on square grids approximate smooth sinh-Gordon solutions with O(ε²) error, and the ring patterns themselves are claimed to converge to harmonic maps into the hyperbolic plane.
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Approximation of solutions of the sinh-Gordon equation $\Delta u -\sinh(2u)=0$ by hyperbolic orthogonal ring patterns
Hyperbolic orthogonal ring patterns on square grids approximate smooth sinh-Gordon solutions with O(ε²) error, and the ring patterns themselves are claimed to converge to harmonic maps into the hyperbolic plane.