Volume 6, Issue 2
An Adaptive Time Stepping Method for Transient Dynamic Response Analysis

Jianguo Huang & Huashan Sheng

East Asian J. Appl. Math., 6 (2016), pp. 152-170.

Published online: 2018-02

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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 $C^0$-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.

  • Keywords

Time stepping method, transient dynamic response, a posteriori error analysis, adaptive algorithm.

  • AMS Subject Headings

65M60, 65M12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-6-152, author = {}, title = {An Adaptive Time Stepping Method for Transient Dynamic Response Analysis}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {6}, number = {2}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.240715.050216a}, url = {http://global-sci.org/intro/article_detail/eajam/10786.html} }
TY - JOUR T1 - An Adaptive Time Stepping Method for Transient Dynamic Response Analysis JO - East Asian Journal on Applied Mathematics VL - 2 SP - 152 EP - 170 PY - 2018 DA - 2018/02 SN - 6 DO - http://doi.org/10.4208/eajam.240715.050216a UR - https://global-sci.org/intro/article_detail/eajam/10786.html KW - Time stepping method, transient dynamic response, a posteriori error analysis, adaptive algorithm. AB -

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.

Jianguo Huang & Huashan Sheng. (2020). An Adaptive Time Stepping Method for Transient Dynamic Response Analysis. East Asian Journal on Applied Mathematics. 6 (2). 152-170. doi:10.4208/eajam.240715.050216a
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