Spectral calculations in magnetohydrodynamics using the Jacobi-Davidson method

Citation
Ajc. Belien et al., Spectral calculations in magnetohydrodynamics using the Jacobi-Davidson method, FUT GENER C, 17(8), 2001, pp. 919-924
Citations number
20
Categorie Soggetti
Computer Science & Engineering
Journal title
FUTURE GENERATION COMPUTER SYSTEMS
ISSN journal
0167739X → ACNP
Volume
17
Issue
8
Year of publication
2001
Pages
919 - 924
Database
ISI
SICI code
0167-739X(200106)17:8<919:SCIMUT>2.0.ZU;2-V
Abstract
For the solution of the generalized complex non-Hermitian eigenvalue proble ms Ax = lambda Bx occurring in the spectral study of linearized resistive m agnetohydrodynamics (MHD) a new parallel solver based on the recently devel oped 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 spectru m and is well parallelizable. All features of the spectrum are easily and a ccurately computed with only a few target shifts. (C) 2001 Elsevier Science B.V. All rights reserved.