Error assessment for timeline-dependent quantities of interest in transient elastodynamics
Document typeConference report
PublisherCentre Internacional de Mètodes Numèrics en Enginyeria (CIMNE)
Rights accessRestricted access - publisher's policy
This work presents a new approach to assess the error in speci c quantities of interest in the framework of linear elastodynamics. In particular, a new type of quantities of interest (referred as timeline-dependent quantities) is proposed. These quantities are scalar time-dependent outputs of the transient solution which are better suited to time-dependent problems than the standard scalar ones available in the literature. The proposed methodology furnishes error estimates for both the standard scalar and the new timeline-dependent quantities of interest. The key ingredient is the modal-based approximation of the associated adjoint problems which allows e ciently computing and storing the adjoint solution.
CitationVerdugo, F.; Pares, N.; Diez, P. Error assessment for timeline-dependent quantities of interest in transient elastodynamics. A: International Conference on Adaptive Modeling and Simulation. "Adaptive Modeling and Simulation 2013". Lisboa: Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), 2013, p. 661-672.