Quadratic finite elements with non-matching grids for the unilateral boundary contact

DOI10.1051/m2an/2012064zbMath1308.74140OpenAlexW2116261185MaRDI QIDQ2842458

Sylvain Auliac, Zakaria Belhachmi, Frederic Hecht, Faker Ben Belgacem

Publication date: 14 August 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2012064

zbMATH Keywords

non-matching gridsquadratic finite elementsunilateral contact conditionsmortar matching

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Related Items (8)

Boundary augmented Lagrangian method for the Signorini problem. ⋮ A two level finite element method for Stokes constrained Dirichlet boundary control problem ⋮ Virtual element method for control constrained Dirichlet boundary control problem governed by the diffusion problem ⋮ Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact ⋮ An accurate local average contact method for nonmatching meshes ⋮ Nitsche's method for unilateral contact problems ⋮ Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem ⋮ Optimal Convergence for Discrete Variational Inequalities Modelling Signorini Contact in 2D and 3D without Additional Assumptions on the Unknown Contact Set

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