Block Krylov subspace methods for the computation of structural response to turbulent wind

DOI10.1016/j.cma.2011.02.017zbMath1228.74033OpenAlexW1987084419MaRDI QIDQ653760

G. Barbella, Valeria Simoncini, Federico Perotti

Publication date: 19 December 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.02.017

zbMATH Keywords

frequency domain analysisblock methodsdeflation techniquesiterative nonsymmetric solversturbulent wind

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Iterative numerical methods for linear systems (65F10) Random vibrations in dynamical problems in solid mechanics (74H50)

Related Items (2)

A deflated conjugate gradient method for multiple right hand sides and multiple shifts ⋮ Recursive principal component analysis for model order reduction with application in nonlinear Bayesian filtering

Uses Software

• LAPACK
• PARDISO
• QMRPACK
• RRQR
• toms/782

Cites Work

• A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
• Exact and inexact breakdowns in the block GMRES method
• On fast factorization pivoting methods for sparse symmetric indefinite systems
• A two-directional Arnoldi process and its application to parametric model order reduction
• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• Restarted full orthogonalization method for shifted linear systems
• Iterative system solvers for the frequency analysis of linear mechanical systems
• Software for simplified Lanczos and QMR algorithms
• Krylov subspaces associated with higher-order linear dynamical systems
• The Quadratic Eigenvalue Problem
• On the Numerical Solution of $(\lambda^2 A + \lambda B + C), x = b$ and Application to Structural Dynamics
• Recent computational developments in Krylov subspace methods for linear systems
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• LAPACK Users' Guide
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
• A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms, Part I
• Computing rank-revealing QR factorizations of dense matrices
• Algorithm 782
• A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II
• Restarted GMRES for Shifted Linear Systems
• Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
• The Solution of Parametrized Symmetric Linear Systems
• A Lanczos-type method for multiple starting vectors
• Look-Ahead Procedures for Lanczos-Type Product Methods Based on Three-Term Lanczos Recurrences
• An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
• The principle of minimized iterations in the solution of the matrix eigenvalue problem
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