Inference of horizontal velocity fields from the induction equation in the solar atmosphere - I. Analytical and numerical solutions in 2D

Open Access

Fig. 5.

Errors of the inference of $\tilde{v_{y}}$ $Mathematical equation: $ \widetilde{v_{y}} $$ in the analytical 2D case. The left panel shows the relative error, $ε_{\tilde{v_{y}}}$ $Mathematical equation: $ \varepsilon_{\widetilde{v_{y}}} $$ , of the inferred velocity. The right panel shows the angle between the analytical velocity (v) and the inferred one ( $\tilde{v}$ $Mathematical equation: $ {\widetilde{\mathbf{v}}} $$ ). See text for more details. Both plots also indicate the mean and the median of these errors.

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