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A simple error estimator and adaptive time stepping procedure for dynamic analysis
Author(s) -
Zienkiewicz O. C.,
Xie Y. M.
Publication year - 1991
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290200907
Subject(s) - estimator , simple (philosophy) , computer science , process (computing) , algorithm , mathematical optimization , control theory (sociology) , mathematics , statistics , artificial intelligence , control (management) , philosophy , epistemology , operating system
A simple local error estimator is presented for time integration schemes in dynamic analysis. This error estimator involves only a small computational cost. The time step size is adaptively adjusted so that the local error at each time step is within a prescribed accuracy. It is found that the estimator performs well under various circumstances and provides an economical adaptive process. Attempts to estimate the global time integration error are also reported.