Abstract
We propose a numerical algorithm to calculate the spectrum of linearized magnetohydro-dynamic operators in the cylindrical region. The method is based on the Ritz-Galerkin approximation with special finite element basis functions. The detailed analysis is made in the presence of the magnetic axis. It is proved that there is no spectral pollution in this case. Some numerical examples are included.
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Kako, T., Descloux, J. Spectral approximation for the linearized MHD operator in cylindrical region. Japan J. Indust. Appl. Math. 8, 221 (1991). https://doi.org/10.1007/BF03167681
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DOI: https://doi.org/10.1007/BF03167681