Model verification in dynamics through strict upper error bounds

Abstract eng:
This paper deals with verification in dynamics. To provide information on the reliability of the approximate solution, which is here obtained with a finite element discretization in space and a Newmark scheme integration in time, a global error estimator based on the constitutive relation error is used. Thus, reconstruction of admissible fields verifying the kinematic equations and the dynamic equilibrium is needed. For the linear acceleration Newmark scheme, the CFL parameter is chosen such as it minimizes the error estimator. Then, a method introducing an adjoint problem is employed to compute guaranteed error bounds on a given quantity of interest, such as the mean stress over a prescribed space-time domain. First illustrations are shown on a 2D academic problem in dynamics along with a linear viscoelastic Maxwell model.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket