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On time integration error estimation and adaptive time stepping in structural dynamics
Author(s) -
Schweizerhof Karl,
Neumann Jens,
Kizio Stephan
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410009
Subject(s) - estimator , time stepping , equivalence (formal languages) , mathematics , newmark beta method , scheme (mathematics) , duality (order theory) , mathematical optimization , computer science , algorithm , finite element method , mathematical analysis , statistics , engineering , discretization , structural engineering , discrete mathematics
In this paper we present two error estimators resp. indicators for the time integration in structural dynamics. Based on the equivalence between the standard Newmark scheme and a Galerkin formulation in time [1] for linear problems a global time integration error estimator based on duality [3] can also be derived for the Newmark scheme. This error estimator is compared to an error indicator based on a finite difference approach in time [2]. Finally an adaptive time stepping scheme using the global estimator and the local indicator is presented. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)