Estimation des erreurs de discrétisation pour des problèmes de mécanique
Keywords:
goal-oriented error estimation, residual method, lower and upper bounds, linear elasticity, vibrationsAbstract
This paper presents goal-oriented error estimators for finite element analysis of linear elasticity equations and eigenvalue problems. In these applications, it is shown that the error in the quantity of interest can be expressed in terms of the errors in the energy norm in the approximations of the primal and dual problems. Computable estimators and bounds for the error in the quantity of interest are then derived making use of known global estimators. Performance of this approach is demonstrated on several test problems.
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