4.6 Article

Augmented Lagrangian and Galerkin least-squares methods for membrane contact

Journal

Publisher

WILEY
DOI: 10.1002/nme.5781

Keywords

augmented Lagrangian; contact; Galerkin least squares; Lagrange multiplier; membrane; stabilization

Funding

  1. Swedish Foundation for Strategic Research [AM13-0029]
  2. Swedish Research Council [2013-4708]
  3. Swedish strategic research program eSSENCE
  4. Engineering and Physical Sciences Research Council [EP/P01576X/1]
  5. EPSRC [EP/P01576X/1] Funding Source: UKRI

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In this paper, we propose a stabilized finite element method for the numerical solution of contact between a small deformation elastic membrane and a rigid obstacle. We limit ourselves to friction-free contact, but the formulation is readily extendable to more complex situations.

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