A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics

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.

• Content Type Journal Article
• DOI 10.1007/s00211-009-0273-z
• Authors
  
  
  • Patrick Hild, Université de Franche-Comté Laboratoire de Mathématiques de Besançon, CNRS UMR 6623 16 route de Gray 25030 Besançon Cedex France
  • Yves Renard, Université de Lyon, CNRS, INSA-Lyon, ICJ UMR 5208, LaMCoS UMR 5259 69621 Villeurbanne France
  
  

• Journal Numerische Mathematik
• Online ISSN 0945-3245
• Print ISSN 0029-599X

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Original source : http://www.springerlink.com/content/w2884101q52560...