Error estimation in nonlinear finite element analysis in two and three dimensions

R. P. Tetambe, S. S. Saigal

Research output: Contribution to conferencePaperpeer-review


This paper presents a comparative study of a series of flux projection type error estimators for elasto-plastic and viscoplastic materials undergoing large strains and large rotations. The error estimators are: L2 norms of stress error, total strain error, equivalent strain error, incremental total strain error per load step, and energy rate norm error, respectively. Numerical examples are presented in both two and three dimensions. The information provided by these error estimators may be used for adaptive mesh refinement and for subsequent data transfer (rezoning) in a large deformation analysis. The error estimators based on the energy rate and the incremental total strain were found to be consistently accurate in the prediction of the discretization error for the two dimensional test cases considered. The L2 norm of incremental strain error estimator consistently gave the most conservative estimate of error in two dimensions. The overall behavior of these error estimators in three dimensions was acceptable, although, not as intuitive as it was in two dimensions.

Original languageEnglish (US)
Number of pages12
StatePublished - 1995
Externally publishedYes
EventProceedings of the 1995 Database Symposium - Boston, MA, USA
Duration: Sep 17 1995Sep 20 1995


OtherProceedings of the 1995 Database Symposium
CityBoston, MA, USA

All Science Journal Classification (ASJC) codes

  • Software


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