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A mixed finite element method for the unilateral contact problem in elasticity 被引量:1

A mixed finite element method for the unilateral contact problem in elasticity
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摘要 In this paper, we provide a new mixed finite element approximation of the variational inequality resulting from the unilateral contact problem in elasticity. We use the continuous piecewise P2-P1 finite element to approximate the displacement field and the normal stress component on the contact region. Optimal convergence rates are obtained under the reasonable regularity hypotheses. Numerical example verifies our results. In this paper, we provide a new mixed finite element approximation of the varia-tional inequality resulting from the unilateral contact problem in elasticity. We use the continuous piecewise P2-P1 finite element to approximate the displacement field and the normal stress component on the contact region. Optimal convergence rates are obtained under the reasonable regularity hypotheses. Numerical example verifies our results.
出处 《Science China Mathematics》 SCIE 2006年第4期513-524,共12页 中国科学:数学(英文版)
关键词 UNILATERAL CONTACT problem MIXED FINITE ELEMENT method. unilateral contact problem, mixed finite element method.
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