Simultaneous solution of large-scale linear systems and eigenvalue problems with a parallel GMRES method

DOI10.1016/j.cam.2008.07.012zbMath1161.65027OpenAlexW2077092173MaRDI QIDQ1012518

Michail E. Kavousanakis, Antony N. Spyropoulos, George Pashos, John A. Palyvos, Andreas G. Boudouvis

Publication date: 21 April 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.07.012

zbMATH Keywords

MPIconvergenceeigenvaluenumerical examplesparallel computationsingularityGalerkin finite element methodGMRESdeflationpreconditionerBratu problemsuperlinear speedupMessage Passing Interface

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (4)

Analysis and parallel implementation of a forced \(N\)-body problem ⋮ The 2-3-4 spike competition in the Rosensweig instability ⋮ A dynamically deflated GMRES adjoint solver for aerodynamic shape optimization ⋮ Accelerating an inexact Newton/GMRES scheme by subspace decomposition

Uses Software

• FE-BUI

Cites Work

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