Error control in FORM reliability analysis
DOI:
https://doi.org/10.13052/17797179.2012.714850Keywords:
failure probability; finite element method, FORM approximation, goal-oriented error estimation, importance samplingAbstract
This paper deals with the failure probability error induced by the coupling between the first-order reliability method (FORM) and the Finite Element Method (FEM). A FEM error estimator based on the concept of error in constitutive relation associated with goal-oriented error estimation is proposed. Furthermore an importance sampling technique is used to compute the error due to the FORM approximation. Both these errors are used to choose a finite element mesh adapted to the problem.
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