Mixed finite element approximation for a contact problem in electro-elasticity

Authors

  • TEDJANI HADJ AMMAR Departement of Mathematics and Informatics, University of El-Oued, 39000 El-Oued, Algeria
  • BENYATTOU BENABDERRAHMANE Department of Mathematics, M’Sila University, 28000 M’Sila, Algeria
  • SALAH DRABLA Department of Mathematics, University of Sétif 1, 19000 Sétif, Algeria

Keywords:

Adhesion, electro-elastic materials, error estimates, frictionless contact, mixed formulation.

Abstract

The present paper is concerned with the frictionless contact problem between two electroelasticbodies in a bidimensional context. We consider a mixed formulation in which theunknowns are the displacement field, the electric potential field and the contact pressure. Weuse the mixed finite element method to approximate the solutions. Error estimates are derivedon the approximative solutions from which the convergence of the algorithm is deduced undersuitable regularity conditions on the exact solution.

References

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Published

04-02-2015