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Augmented Lagrangian and Galerkin least‐squares methods for membrane contact
Author(s) -
Burman Erik,
Hansbo Peter,
Larson Mats G.
Publication year - 2018
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.5781
Subject(s) - finite element method , augmented lagrangian method , galerkin method , lagrangian , obstacle , moving least squares , limit (mathematics) , mathematics , deformation (meteorology) , mathematical analysis , membrane , contact angle , classical mechanics , materials science , mathematical optimization , physics , structural engineering , engineering , composite material , political science , law , biology , genetics
Summary 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.