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 - <p style="text-align: justify;">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.</p>