A finite-element method for computing nonlinear force-free fields

T. Z. Boulmezaoud; T. Amari

doi:10.1016/S0895-7177(01)00108-X

A finite-element method for computing nonlinear force-free fields

T. Z. Boulmezaoud
, T. Amari

Université de Pau et des Pays de l’Adour

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this paper is to propose a new method for computing nonlinear force-free fields. The method is based oil an iterative algorithm and a finite-element discretization. After analysing the error for one step, we display some numerical tests which confirm the performance of the code and reveal the superconvergence of the algorithm. A straightforward and potential application of the method is the reconstruction of the coronal magnetic field on the sun from measurements.

Original language	English
Pages (from-to)	903-920
Number of pages	18
Journal	Mathematical and Computer Modelling
Volume	34
Issue number	7-8
DOIs	https://doi.org/10.1016/S0895-7177(01)00108-X
Publication status	Published - 1 Jan 2001

Keywords

Beltrami flows
Curl operator
Force-free fields
Hydromagnetics
Magnetic fields
Stars: corona

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10.1016/S0895-7177(01)00108-X

Cite this

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title = "A finite-element method for computing nonlinear force-free fields",

abstract = "The aim of this paper is to propose a new method for computing nonlinear force-free fields. The method is based oil an iterative algorithm and a finite-element discretization. After analysing the error for one step, we display some numerical tests which confirm the performance of the code and reveal the superconvergence of the algorithm. A straightforward and potential application of the method is the reconstruction of the coronal magnetic field on the sun from measurements.",

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AU - Amari, T.

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AB - The aim of this paper is to propose a new method for computing nonlinear force-free fields. The method is based oil an iterative algorithm and a finite-element discretization. After analysing the error for one step, we display some numerical tests which confirm the performance of the code and reveal the superconvergence of the algorithm. A straightforward and potential application of the method is the reconstruction of the coronal magnetic field on the sun from measurements.

KW - Beltrami flows

KW - Curl operator

KW - Force-free fields

KW - Hydromagnetics

KW - Magnetic fields

KW - Stars: corona

U2 - 10.1016/S0895-7177(01)00108-X

DO - 10.1016/S0895-7177(01)00108-X

M3 - Article

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SN - 0895-7177

VL - 34

SP - 903

EP - 920

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 7-8

ER -

A finite-element method for computing nonlinear force-free fields

Abstract

Keywords

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