Year: 2016
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 2 : pp. 152–170
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 $C^0$-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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.240715.050216a
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 2 : pp. 152–170
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Time stepping method transient dynamic response a posteriori error analysis adaptive algorithm.