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~\cite{Sleijpen96a} 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 Alfv\'{e}n wave spectrum and is well parallelizable. All features of the spectrum are easily and accurately computed with only a few target shifts.

Additional Metadata
THEME Life Sciences (theme 5), Energy (theme 4)
Publisher Springer-verlag, Berlin
Editor M. Bubak , H. Afsarmanesh , R. Williams , B. Hertzberger
Conference International Conference on High-Performance Computing and Networking
Citation
Beliën, A.J.C, Nool, M, van der Ploeg, A, & Goedbloed, J.P. (2007). Application of the Jacobi-Davidson method to spectral calculations in magnetohydrodynamics. In M Bubak, H Afsarmanesh, R Williams, & B Hertzberger (Eds.), Proceedings of High-Performance Computing and Networking, Europe 2000 (pp. 119–126). Springer-verlag, Berlin.