Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method
Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 161–176
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-761
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 1 : pp. 161–176
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Mixed finite element method dual variational inequality Uzawa algorithm and error estimates.