Spectral approximation for the linearized MHD operator in cylindrical region

Author:

Kako T.,Descloux J.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Reference19 articles.

1. K. Appert, D. Berger, R. Gruber and J. Rappaz, A new finite element approach to the normal mode analysis in magnetohydrodynamics. J. Comput. Phys.,18 (1975), 284–299.

2. K. Appert, D. Berger, R. Gruber, F. Troyon and K. V. Robert, THALIA-A one-dimensional MHD stability program using the method of finite elements, Comput. Phys. Comm.,10 (1975), 11–29.

3. J. Descloux, Two basic properties of finite elements. Report Dept. Math., EPF-Lausanne, 1973.

4. J. Descloux and G. Geymonat, Sur le spectre essentiel d’un opérateur relatif à la stabilité d’un plasma en géométrie toroîdal. C. R. Acad. Sci. Paris,290 (1980), 795–797.

5. J. Descloux, N. Nassif and J. Rappaz, Spectral approximation with error bounds for non-compact operators. Report Dept. Math., EPF-Lausanne, 1977.

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1. Essential spectrum of non-self-adjoint singular matrix differential operators;Journal of Mathematical Analysis and Applications;2017-07

2. Eigenvalue enclosures and convergence for the linearized MHD operator;BIT Numerical Mathematics;2012-06-28

3. Essential Spectrum Due to Singularity;Journal of Nonlinear Mathematical Physics;2003

4. Essential Spectrum and Mixed Type Finite Element Method;Lecture Notes in Computational Science and Engineering;2002

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