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An Adaptive Time Stepping Method for Transient Dynamic Response Analysis

Part of: Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  12 May 2016

Jianguo Huang  and
Huashan Sheng
Jianguo Huang*
Affiliation:
School of Mathematical Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, P.R. China Division of Computational Science, E-Institute of Shanghai Universities, Shanghai 200030, P.R. China
Huashan Sheng
Affiliation:
School of Mathematical Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, P.R. China
*
*Corresponding author. Email addresses:jghuang@sjtu.edu.cn (J. Huang), shs3701001@sjtu.edu.cn (H. Sheng)
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Abstract

An efficient adaptive time stepping method is proposed for transient dynamic response analysis, which is frequently encountered in civil engineering and elsewhere. The reduced problem following the spatial discretisation can be discretised in the time by a C0-continuous discontinuous Galerkin method, and the adaptive time stepping strategy is based on optimal a posteriori error estimates developed using the energy method. Some numerical experiments demonstrate the effectiveness of our approach.

Keywords

Time stepping methodtransient dynamic responsea posteriori error analysisadaptive algorithm

MSC classification

Secondary: 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 65M12: Stability and convergence of numerical methods
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 6 , Issue 2 , May 2016 , pp. 152 - 170
Copyright
Copyright © Global-Science Press 2016 

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