✍ Scribed by George Pashos; Michail E. Kavousanakis; Antony N. Spyropoulos; John A. Palyvos; Andreas G. Boudouvis
No coin nor oath required. For personal study only.
A method for simultaneous solution of large and sparse linearized equation sets and the corresponding eigenvalue problems is presented. Such problems arise from the discretization and the solution of nonlinear problems with the finite element method and Newton iteration. The method is based on a parallel version of the preconditioned GMRES(m) by deflation. The parallel code exploits the architecture of the computational clusters using the MPI (Message Passing Interface). The convergence rate, the parallel speedup and the memory requirements of the proposed method are reported and evaluated.
📜 SIMILAR VOLUMES
## Abstract An extension of the FETI‐H method is designed for the solution of acoustic scattering problems with multiple right‐hand sides. A new local pre‐conditioning of this domain decomposition method is also presented. The potential of the resulting iterative solver is demonstrated by numerical