Stabilized Lagrange multiplier methods for bilateral elastic contact with friction

DOI10.1016/j.cma.2005.09.008zbMath1123.74045OpenAlexW1986021948MaRDI QIDQ2384306

Peter Hansbo, Per Heintz

Publication date: 20 September 2007

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2005.09.008

zbMATH Keywords

non-matching gridsglobal polynomial multiplier

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition
• A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
• Finite element approximation of the Dirichlet problem using the boundary penalty method
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• EXTENSION OF THE MORTAR FINITE ELEMENT METHOD TO A VARIATIONAL INEQUALITY MODELING UNILATERAL CONTACT
• Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity
• A finite element method for domain decomposition with non-matching grids
• An approach to the connection between subdomains with non-matching meshes for transient mechanical analysis