Approximation of linear force-free fields in bounded 3-D domains
暂无分享,去创建一个
[1] J. Krüger. General stability analysis of force-free magnetic fields. Part 2. Application to continuous and discrete spectra of α , 1976, Journal of Plasma Physics.
[2] I. Babuska. The finite element method with Lagrangian multipliers , 1973 .
[3] Marsh. Helicity, topology, and force-free fields. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[4] R. Kress. A boundary integral equation method for a Neumann boundary problem for force-free fields , 1981 .
[5] M. Bineau. On the existence of force-free magnetic fields , 1972 .
[6] Marsh. Magnetic energy, multiply connected domains, and force-free fields. , 1992, Physical review. A, Atomic, molecular, and optical physics.
[7] Yvon Maday,et al. On the linear force-free fields in bounded and unbounded three-dimensional domains , 1999 .
[8] M. Berger,et al. The topological properties of magnetic helicity , 1984, Journal of Fluid Mechanics.
[9] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[10] Harold Grad,et al. HYDROMAGNETIC EQUILIBRIA AND FORCE-FREE FIELDS , 1958 .
[11] Ahmed E. Radwan. Stability of a force-free magnetic field of a conducting fluid cylinder , 1997 .
[12] I. Benn,et al. Force-free fields from Hertz potentials , 1996 .
[13] Marco Avellaneda,et al. On Woltjer’s variational principle for force‐free fields , 1991 .
[14] K. O. Friedrichs,et al. Differential forms on riemannian manifolds , 1955 .
[15] Townsend,et al. Complex Trkalian fields and solutions to Euler's equations for the ideal fluid. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[16] J B Taylor,et al. Relaxation and magnetic reconnection in plasmas , 1986 .
[17] V. Girault,et al. Vector potentials in three-dimensional non-smooth domains , 1998 .
[18] Andrew J. Majda,et al. The Beltrami spectrum for incompressible fluid flows , 1988 .
[19] J. Krüger. General stability analysis of force-free magnetic fields. Part 1. General theory , 1976, Journal of Plasma Physics.
[20] J. Aly. On some properties of force-free magnetic fields in infinite regions of space , 1984 .
[21] F. Brezzi. On the existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers , 1974 .
[22] Zoran Mikic,et al. RECONSTRUCTING THE SOLAR CORONAL MAGNETIC FIELD AS A FORCE-FREE MAGNETIC FIELD , 1997 .
[23] O. Pironneau,et al. Some notes on periodic Beltrami fields in Cartesian geometry , 1991 .
[24] R. Kress. The treatment of a Neumann boundary value problem for force-free fields by an integral equation method , 1978, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.
[25] Jean-Claude Nédélec,et al. Éléments finis mixtes incompressibles pour l'équation de Stokes dans ℝ3 , 1982 .
[26] T. Sakurai. Computational modeling of magnetic fields in solar active regions , 1989 .
[27] J. Aly. Some properties of the solutions of a non-linear boundary value problem for a force-free field in an infinite region of space. I: Energy estimates , 1988 .
[28] Mixed finite element approximation of the vector potential , 1987 .
[29] D. A. Baker,et al. Analytic force-free fields and F-theta curves for reversed field pinches , 1986 .
[30] B. Josephson. Macroscopic Field Equations for Metals in Equilibrium , 1966 .
[31] Yoshikazu Giga,et al. Remarks on spectra of operator rot , 1990 .
[32] Vivette Girault,et al. Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms , 1986, Springer Series in Computational Mathematics.
[33] J. B. Taylor,et al. Relaxation of toroidal plasma and generation of reverse magnetic fields , 1974 .
[34] S. Jardin,et al. Force-free coil principles applied to high-temperature superconducting materials , 1988 .
[35] Mark R. Proctor,et al. Topological constraints associated with fast dynamo action , 1985, Journal of Fluid Mechanics.
[36] V. Arnold,et al. Sur la topologie des écoulements stationnaires des fluides parfaits , 1965 .
[37] H. Moses. Eigenfunctions of the Curl Operator, Rotationally Invariant Helmholtz Theorem, and Applications to Electromagnetic Theory and Fluid Mechanics , 1971 .
[38] S. Chandrasekhar,et al. ON FORCE-FREE MAGNETIC FIELDS. , 1957, Proceedings of the National Academy of Sciences of the United States of America.