On Solving Frictional Contact Problems Part I: Abstract Framework and the Static Case. submitted to IJNAM as Mixed FEM of Higher Order for Contact Problems with Friction

نویسندگان

  • Andreas Schröder
  • Heribert Blum
  • Heiko Kleemann
چکیده

Keywords hp-FEM · contact problems This paper presents mixed variational formulation and its discretization with finite elements of higher-order for Signorini's problem with Tresca's friction. To guarantee the unique existence of the discrete saddle point of the mixed method, a discrete inf-sup condition is proven. Moreover, a solution scheme based on the dual formulation of the mixed method is proposed. Numerical results confirm the theoretical findings.

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تاریخ انتشار 2010