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Error assessment in structural transient dynamics
Verdugo Rojano, Francesc; Parés Mariné, Núria; Díez, Pedro
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
This paper presents in a unified framework the most representative state-of-the-art techniques on a posteriori error assessment for second order hyperbolic problems, i.e., structural transient dynamics. For the sake of presentation, the error estimates are grouped in four types: recovery-based estimates, the dual weighted residual method, the constitutive relation error method and error estimates for timeline-dependent quantities of interest. All these methodologies give a comprehensive overview on the available error assessment techniques in structural dynamics, both for energy-like and goal-oriented estimates.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
Numerical analysis
Transient dynamics
Goal-oriented error assessment
Adjoint problem
Quantity of interest
Recovery estimates
Dual weighted residuals
Constitutive relation error
Timeline-dependent quantity of interest
Finite-element methods
Superconvergent patch recovery
Partial-differential equations
Linear-functional outputs
Time-stepping procedure
Constitutive relation
Local quantities
Exact bounds
Anàlisi numèrica
65G Error analysis and interval analysis

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