WIAS Preprint No. 1523, (2010)

On the numerical approximation of a viscoelastodynamic problem with unilateral constraints


  • Petrov, Adrien

2010 Mathematics Subject Classification

  • 35L85 65N30 73D99


  • Viscoelasticity, Signorini conditions, numerical scheme, variational inequality


The present work is dedicated to the study of numerical schemes for a viscoelastic bar vibrating longitudinally and having its motion limited by rigid obstacles at the both ends. Finite elements and finite difference schemes are presented and their convergence is proved. Finally, some numerical examples are reported and analyzed.

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