A unified set of single-step asymptotic annihilation algorithms for structural dynamics
type: Item
instance of: scholarly article
title: A unified set of single-step asymptotic annihilation algorithms for structural dynamics
zbMATH Open document ID: 0849.73067
DOI: 10.1016/0045-7825(94)90208-9
author: G. M. Hulbert
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-10-29T00:00:00Z
full work available at URL: http://hdl.handle.net/2027.42/31716
review text: A new class of asymptotic annihilation algorithms for structural dynamics is presented that possesses little numerical dissipation in the low-frequency regime. The algorithms are based upon using finite elements in time. The displacement and velocity fields are interpolated independently using time-discontinuous functions. The equations of motion, displacement-velocity compatibility and the time continuity of displacement and velocity are satisfied weakly. Asymptotic annihilation is achieved by choosing the displacement and velocity fields to be of equal order. Algorithms of any desired order of temporal accuracy can be obtained by appropriate choice of the finite element interpolations in time. An analysis of the proposed class of algorithms is given proving the asymptotic annihilation property and the spectral equivalence of the algorithms to the upper diagonal of the Padé approximation table. Results from finite difference analyses are presented showing the spectral behavior of the algorithms as well as their dissipation and dispersion properties in the low frequency regime.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 873964
zbMATH Keywords: low-frequency regime
zbMATH Keywords: finite element interpolations in time
zbMATH Keywords: spectral equivalence
zbMATH Keywords: Padé approximation table
zbMATH Keywords: dispersion properties
describes a project that uses: RODAS
MaRDI profile type: Publication
OpenAlex ID: W2124861028
cites work: Q3773481
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description: scientific article; zbMATH DE number 873964