Open AccessError control in FORM reliability analysis
Author(s) -
Laurent Gallimard
Publication year - 2012
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/17797179.2012.714850
Subject(s) - estimator , finite element method , reliability (semiconductor) , error detection and correction , mathematics , relation (database) , computer science , algorithm , statistics , structural engineering , engineering , data mining , power (physics) , physics , quantum mechanics
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.