A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics |
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| Authors: | Patrick Hild Yves Renard |
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| Institution: | (1) Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan, China;(2) KBS, and Institute of Mathematics and Statistics, University of Kent, Canterbury, CT2 7NF, England |
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| Abstract: | In this work we consider a stabilized Lagrange (or Kuhn–Tucker) multiplier method in order to approximate the unilateral contact
model in linear elastostatics. The particularity of the method is that no discrete inf-sup condition is needed in the convergence
analysis. We propose three approximations of the contact conditions well adapted to this method and we study the convergence
of the discrete solutions. Several numerical examples in two and three space dimensions illustrate the theoretical results
and show the capabilities of the method. |
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