Analysis and comparison of several component mode synthesis methods on one-dimensional domains

DOI10.1007/BF01385608zbMath0686.34026OpenAlexW1970716086MaRDI QIDQ1262433

Frédéric Bourquin

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133485

zbMATH Keywords

second order elliptic operatorsError estimatescomponent mode synthesis methods

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General spectral theory of ordinary differential operators (34L05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (11)

A modal synthesis method for the elastoacoustic vibration problem ⋮ Duality-based adaptive model reduction for one-way coupled thermoelastic problems ⋮ Component mode synthesis and eigenvalues of second order operators : discretization and algorithm ⋮ Solving an elliptic PDE eigenvalue problem via automated multi-level substructuring and hierarchical matrices ⋮ Error estimation for the automated multi-level substructuring method ⋮ A posteriori error analysis of component mode synthesis for the elliptic eigenvalue problem ⋮ Numerical study of an intrinsic component mode synthesis method ⋮ An enhanced AMLS method and its performance ⋮ Domain decomposition methods for eigenvalue problems ⋮ Kron's method for symmetric eigenvalue problems ⋮ Adaptive component mode synthesis in linear elasticity

Cites Work

• A justification of the von Kármán equations
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• Numerical methods of high-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems, IV: Periodic boundary conditions
• Component mode synthesis and eigenvalues of second order operators : discretization and algorithm
• Improved Component-Mode Representation for Structural Dynamic Analysis
• Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results
• Branch mode analysis of vibrating systems
• Coupling of substructures for dynamic analyses.
• Vibration analysis by dynamic partitioning.
• Vibration Analysis of Structures by Component Mode Substitution
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