On time integration error estimation and adaptive time stepping in structural dynamics | Zendy

Schweizerhof Karl | Zendy; Neumann Jens | Zendy; Kizio Stephan | Zendy

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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)

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