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Algorithms of the Potential Field Calculation in a Three-Dimensional Box

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Abstract

The potential field inside a three-dimensional box with the normal magnetic field component given on all boundaries needs to be calculated to estimate important quantities related to the magnetic field, such as free energy and relative helicity. In this work we present an analysis of three methods for calculating the potential field inside a three-dimensional box. The accuracy and performance of the methods are tested on artificial models with a priori known solutions.

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Acknowledgements

This study was supported by the Russian Foundation of Basic Research under grants 15-02-01077, 16-32-00315_mol_a, 15-02-03835_a, and 15-02-01089_a; by the ISSI International Team on Magnetic Helicity estimations in models and observations of the solar magnetic field. This study was supported by the Program of basic research of the RAS Presidium No. 7.

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  1. Institute of Solar-Terrestrial Physics SB RAS, Lermontov St. 126, Irkutsk, 664033, Russia

    G. V. Rudenko & S. A. Anfinogentov

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  1. G. V. Rudenko
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  2. S. A. Anfinogentov
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Correspondence to G. V. Rudenko or S. A. Anfinogentov.

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Rudenko, G.V., Anfinogentov, S.A. Algorithms of the Potential Field Calculation in a Three-Dimensional Box. Sol Phys 292, 103 (2017). https://doi.org/10.1007/s11207-017-1126-z

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