Numerical modeling of dual variational inequalities of unilateral contact problems using the mixed finite element method
Guanghui Wang 1, Xiaozhong Yang 21 State Key Laboratory of SevereWeather (LaSW), Chinese Academy of Meteorological Sciences, Beijing 100081, China.
2 School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China.
Received by the editors May 10, 2007 and, in revised form, May 18, 2008.
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.
AMS subject classifications: 35R35, 49J40 , 60G40
Key words: Mixed finite element method, dual variational inequality, Uzawa algorithm and error estimates.
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