Spectral calculations in magnetohydrodynamics using the Jacobi-Davidson method

For the solution of the generalized complex non-Hermitian eigenvalue problems Ax = lambda Bx occurring in the spectral study of linearized resistive magnetohydrodynamics (MHD) a new parallel solver based on the recently developed Jacobi-Davidson [SIAM J. Matrix Anal. Appl. 17 (1996) 401] method has been developed. A brief presentation of the implementation of the solver is given here. The new solver is very well suited for the computation of some selected interior eigenvalues related to the resistive Alfven wave spectrum and is well parallelizable. All features of the spectrum are easily and accurately computed with only a few target shifts. (C) 2001 Elsevier Science B.V. All rights reserved