Matrix-Padé via Lanczos solutions for vibrations of fluid-structure interaction

DOI10.1002/nme.2936zbMath1202.74080OpenAlexW2040551419MaRDI QIDQ3062619

Peter M. Pinsky, Haw-Ling Liew

Publication date: 28 December 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2936

zbMATH Keywords

fluidKrylov subspaceLanczos processmultiple-frequencyfull-field matrix-Padé approximantstructure interaction vibrations

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (3)

Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems ⋮ A finite element approach combining a reduced-order system, Padé approximants, and an adaptive frequency windowing for fast multi-frequency solution of poro-acoustic problems ⋮ An adaptive strategy for the bivariate solution of finite element problems using multivariate nested Padé approximants

Cites Work

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• Asymptotic waveform evaluation via a Lanczos method
• Krylov-subspace methods for reduced-order modeling in circuit simulation
• Eigenvalue and eigenfunction error estimates for finite element formulations of linear hydroelasticity
• EFFICIENT COMPUTATION OF MULTI-FREQUENCY FAR-FIELD SOLUTIONS OF THE HELMHOLTZ EQUATION USING PADÉ APPROXIMATION
• Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver
• A Look-Ahead Lanczos Algorithm for Unsymmetric Matrices
• Balancing the Generalized Eigenvalue Problem
• A note on finite-element implementation of pressure boundary loading
• A Lanczos-type method for multiple starting vectors

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