Efficient Arnoldi-type algorithms for rational eigenvalue problems arising in fluid-solid systems

DOI10.1016/j.jcp.2010.12.022zbMath1390.74045OpenAlexW2084397058MaRDI QIDQ630466

Wei-Qiang Huang, So-Hsiang Chou, Tsung-Ming Huang, Wen-Wei Lin

Publication date: 17 March 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.12.022

zbMATH Keywords

finite elementsfluid-structure interactionArnoldi algorithmrational eigenvalue problemtrimmed linearization

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

Structured eigenvalue backward errors for rational matrix functions with symmetry structures ⋮ Stability analysis and improvement of the solution reconstruction for cell-centered finite volume methods on unstructured meshes ⋮ Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property ⋮ Acoustic vibration problem for dissipative fluids

Uses Software

• SLEPc
• eigs
• ARPACK
• IRAM

Cites Work

• Unnamed Item
• An Arnoldi method for nonlinear eigenvalue problems
• Finite element computation of the vibration modes of a fluid-solid system
• Mixed finite element methods in fluid structure systems
• Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
• Iterative projection methods for computing relevant energy states of a quantum dot
• The Quadratic Eigenvalue Problem
• A Krylov--Schur Algorithm for Large Eigenproblems
• Vibration analysis of fluid-solid systems using a finite element displacement formulation
• Jacobi–Davidson methods for cubic eigenvalue problems
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Mixed and Hybrid Finite Element Methods
• A displacement method for the analysis of vibrations of coupled fluid‐structure systems
• DISPLACEMENT/PRESSURE BASED MIXED FINITE ELEMENT FORMULATIONS FOR ACOUSTIC FLUID-STRUCTURE INTERACTION PROBLEMS
• A mixed displacement-based finite element formulation for acoustic fluid-structure interaction
• ARPACK Users' Guide
• Finite Element Analysis of a Quadratic Eigenvalue Problem Arising in Dissipative Acoustics
• ConservativeP1 Conforming and Nonconforming Galerkin FEMs: Effective Flux Evaluation via a Nonmixed Method Approach
• Normwise Scaling of Second Order Polynomial Matrices
• The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
• Finite Element Vibration Analysis of Fluid–Solid Systems without Spurious Modes
• On restarting the Arnoldi method for large nonsymmetric eigenvalue problems
• Modelling and numerical solution of elastoacoustic vibrations with interface damping
• SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
• Algorithms for the Nonlinear Eigenvalue Problem

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