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Volume 6, Issue 1
Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method

G. Wang & X. Yang

Int. J. Numer. Anal. Mod., 6 (2009), pp. 161-176.

Published online: 2009-06

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  • 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.

  • Keywords

Mixed finite element method, dual variational inequality, Uzawa algorithm and error estimates.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-6-161, author = {G. Wang and X. Yang}, title = {Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2009}, volume = {6}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/761.html} }
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 -

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.

G. Wang and X. Yang. (2009). Numerical Modeling of a Dual Variational Inequality of Unilateral Contact Problems Using the Mixed Finite Element Method. International Journal of Numerical Analysis and Modeling. 6 (1). 161-176. doi:
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