TY - JOUR
T1 - Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method
AU - G. Wang & X. Yang
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 161
EP - 176
PY - 2009
DA - 2009/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/761.html
KW - Mixed finite element method, dual variational inequality, Uzawa algorithm and error estimates.
AB - <p style="text-align: justify;">We study the dual mixed finite element approximation of unilateral
contact problems. Based on the dual mixed variational formulation with three
unknowns (stress, displacement and the displacement on the contact boundary), the a priori error estimates have been established for both conforming
and nonconforming finite element approximations. A Uzawa type iterative algorithm is developed to solve the resulting linear system. Numerical example
shows good performance of the method.</p>