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Approximation dans un Problème de Viscoélasticité Périodique
Author(s) -
Teniou D.,
Nedelec J. C.
Publication year - 1987
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670090138
Subject(s) - mathematics , uniqueness , quasistatic process , viscoelasticity , mathematical analysis , space (punctuation) , physics , quantum mechanics , thermodynamics , linguistics , philosophy
We are concerned with equations which derive from a quasistatic periodic problem of viscoelasticity. We give a condition which yields to existence and uniqueness of a periodic solution. Then we prove a finite element method based on equilibrium elements for the space approximation and on the explicit Euler scheme for the time approximation.

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