A quasi-optimal a priori error estimate for the two-dimensional Signorini problem approximated by linear finite elements

DOI10.1016/j.crma.2012.01.024zbMath1291.74181OpenAlexW2008086225MaRDI QIDQ412609

Yves Renard

Publication date: 4 May 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.01.024

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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• Numerical implementation of two nonconforming finite element methods for unilateral contact
• Finite element analysis for unilateral problems with obstacles on the boundary
• Numerical Simulation of Some Variational Inequalities Arisen from Unilateral Contact Problems by the Finite Element Methods
• Hybrid finite element methods for the Signorini problem
• Fixed point strategies for elastostatic frictional contact problems
• An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems
• Éléments finis: théorie, applications, mise en œuvre.

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