Summary
In this paper we describe a nonconforming finite element method to compute the MHD spectrum of a plasma in a toroïdal configuration. We show that this method leads to a good approximation of the spectrum.
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Berger, D.: Numerical computations of the ideal MHD stability of small aspect ratio Tokamaks. Thèse EPFL. CRPP (1977)
Berger, D., Gruber, R., Troyon, F.: A finite element approach to the computation of the MHD spectrum of straight noncircular plasma equilibria. Comput. Phys. Com.11, 313–323 (1976)
Descloux, J., Nassif, N., Rappaz, J.: On spectral approximation, part 1 and part 2. RAIRO, Analyse Numérique,12, 97–119 (1978)
Evéquoz, H.: Approximation spectrale liée à l'étude de la stabilité MHD d'un plasma par une méthode d'éléments finis non-conformes. Thèse EPFL, Départment de Mathématiques, 1980
Gruber, R.: Numerical computations of the MHD spectrum for one and two dimensional equilibria using regular finite elements and finite hybrid elements. Thèse EPFL, Départment de Physique, 1976
Jaccard, Y.: Approximation spectrale par la méthode des éléments finis conformes d'une classe d'opérateurs non compacts et partiellement réguliers. Thèse EPFL Départment de Mathématiques, 1980
Jaccard, Y., Evéquoz, H.: Spectral approximation of the spectrum of an operator given by the MHD stability of a plasma (1981, in press)
Rappaz, J.: Approximation of the spectrum of a non-compact operator given by the MHD stability of a plasma. Numer. Math.28, 15–24 (1977)
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Evequoz, H., Jaccard, Y. A nonconforming finite element method to compute the spectrum of an operator relative to the stability of a plasma in toroidal geometry. Numer. Math. 36, 455–465 (1981). https://doi.org/10.1007/BF01395958
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DOI: https://doi.org/10.1007/BF01395958