Error-amplification analysis of subiteration-preconditioned GMRES for fluid-structure interaction

DOI10.1016/j.cma.2005.01.018zbMath1176.74217OpenAlexW2022208632WikidataQ60357437 ScholiaQ60357437MaRDI QIDQ2383587

Christian Michler, E. Harald Van Brummelen, René de Borst

Publication date: 19 September 2007

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.2005.01.018

zbMATH Keywords

preconditioningGMRESfluid-structure interactionconvergence boundssubiterationerror-amplification analysisreuse of Krylov vectors

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Numerical and other methods in solid mechanics (74S99)

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Cites Work

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• Krylov subspace acceleration for nonlinear multigrid schemes
• Energy conservation under incompatibility for fluid-structure interaction problems.
• An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems.
• Partitioned procedures for the transient solution of coupled aeroelastic problems. I: Model problem, theory and two-dimensional application.
• Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter
• Multiphysics simulation of flow-induced vibrations and aeroelasticity on parallel computing platforms
• An investigation of interface-GMRES(R) for fluid-structure interaction problems with flutter and divergence
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Pseudospectra of Linear Operators
• Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations
• Flutter instability prediction techniques for bridge deck sections
• On the Nonnormality of Subiteration for a Fluid-Structure-Interaction Problem
• Fluid-structure interaction with large structural displacements
• Partitioned procedures for the transient solution of coupled aeroelastic problems. II: Energy transfer analysis and three-dimensional applications
• Partitioned analysis of coupled mechanical systems
• The discrete geometric conservation law and the nonlinear stability of ALE schemes for the solution of flow problems on moving grids.

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