Augmented Lagrangian finite element methods for contact problems

DOI10.1051/m2an/2018047zbMath1422.65374arXiv1609.03326OpenAlexW2964273022MaRDI QIDQ5226425

Peter Hansbo, Mats G. Larson, Erik Burman

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/1609.03326

zbMATH Keywords

Lagrange multiplierserror estimatesfinite element methodSignorini problemobstacle problemaugmented Lagrangian

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (8)

An XFEM/DG approach for fluid-structure interaction problems with contact. ⋮ Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems ⋮ A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems ⋮ Residual a posteriori error estimation for frictional contact with Nitsche method ⋮ Augmented Lagrangian Method for Thin Plates with Signorini Boundaries ⋮ A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems ⋮ Error analysis of the compliance model for the Signorini problem ⋮ An accelerated method of Uzawa algorithm in contact problems

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