Determination of force-free magnetic fields above the photosphere using three-component boundary conditions. II - Analysis and minimization of scale-related growing modes and of computational induced singularities

Astronomy and Astrophysics – Astrophysics

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Force-Free Magnetic Fields, Photosphere, Solar Atmosphere, Solar Magnetic Field, Boundary Conditions, Finite Difference Theory, Magnetic Field Configurations, Solar Corona

Scientific paper

The problem of the extrapolation of the observed three-component photospheric magnetic fields within is studied within the framework of the nonlinear force-free field model. The possible vertically growing modes and their relationship to the horizontal and vertical chosen scales is discussed, and the mathematical singularities arising along neutral field lines and leading to nondefinite alpha values are examined. A search is made for simple procedures aimed at minimizing these algorithm-dependent computational errors.

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