## Abstract

Recently, Goal Oriented Adaptivity (GOA) has been an active research area because of its advantages in terms of computational cost and accuracy This technique consists in solving two Finite Element (FE) problems: the primal one, which is the actual problem and the dual one, which is an auxiliary problem depending on the Quantity of Interest (Qol). To improve the quality of the error estimate in the Qol we consider a recovery-based procedure which enforces local equilibrium for an accurate stress representation. The proposed procedure requires the explicit expressions for the dual loads which, traditionally, are not obtained in the FE framework. Our objective in this paper is to obtain those explicit expressions for the dual problem for the extraction of linear Qol in the context of linear elasticity The ZZ-type error estimator is used to evaluate the error in the Qol at element level, yielding a high quality, as shown in the numerical tests.

Original language | English |
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Title of host publication | Proceedings of the VI International Conference on Adaptive Modeling and Simulation |

Editors | J. P. Moitinho de Almeida, P. Diez, C. Tiago, N. Pares |

Publisher | Cimne |

ISBN (Print) | 9788494100482 |

Publication status | Published - 2013 |

Externally published | Yes |

Event | 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013 - Lisbon, Portugal Duration: 3 Jun 2013 → 5 Jun 2013 |

### Conference

Conference | 6th International Conference on Adaptive Modeling and Simulation, ADMOS 2013 |
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Country/Territory | Portugal |

City | Lisbon |

Period | 3/06/13 → 5/06/13 |