@Article{IJNAM-13-627,
author = {S. Bourichi, El-H. Essoufi and R. Fakhar},
title = {A Priori Error Estimates of a Signorini Contact Problem for Electro-Elastic Materials},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {4},
pages = {627--647},
abstract = {<p style="text-align: justify;">We consider a mathematical model for a static process of frictionless unilateral contact
between a piezoelectric body and a conductive foundation. A variational formulation of the model,
in the form of a coupled system for the displacements and the electric potential, is derived. The
existence of a unique weak solution for the problem is established. We use the penalty method
applied to the frictionless unilateral contact model to replace the Signorini contact condition, we
show the existence of a unique solution, and derive error estimates. Moreover, under appropriate
regularity assumptions of the solution, we have the convergence of the continuous penalty solution
as the penalty parameter&nbsp;ϵ vanishes. Then, the numerical approximation of a penalty problem by
using the finite element method is introduced. The error estimates are derived and convergence
of the scheme is deduced under suitable regularity conditions.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/456.html}
}