Improvement of C0 vibration problems using Helmholtz equation to recover nodal gradients

DOI10.1108/02644409810208480zbMath0936.74069OpenAlexW2037916349MaRDI QIDQ4241298

Chin-Hsu Lin

Publication date: 18 May 2000

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409810208480

zbMATH Keywords

interpolationRayleigh quotientHelmholtz equationpost-processingacoustic vibration problemscomputed eigenvectorpatch recovery technique

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (1)

Error estimates and adaptive finite element methods

Cites Work

• Buckling analysis: alternative formulations, error estimation, and adaptive meshing
• Explicit formulas for correcting finite-element predictions of natural frequencies
• Superconvergent patch recovery techniques - some further tests
• An error indicator for the generalized eigenvalue problem using the hierarchical finite element method
• Improving finite element predictions of modes of vibration
• Higher order eigenpair perturbations
• Improvement of normalization methods for eigenvector derivatives
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• Finite element buckling analysis of homogeneous and sandwich plates
• Simplified calculation of eigenvector derivatives
• Patch recovery based on superconvergent derivatives and equilibrium
• Superconvergent patch recovery with equilibrium and conjoint interpolant enhancements
• Eigensolution reanalysis of modified structures using perturbations and Rayleigh quotients
• Rates of change of eigenvalues and eigenvectors.

This page was built for publication: Improvement of C⁰ vibration problems using Helmholtz equation to recover nodal gradients