Superconvergence of finite element method for the Signorini problem

DOI10.1016/j.cam.2007.10.058zbMath1148.74044OpenAlexW2009371127MaRDI QIDQ955048

Qun Lin, Shuhua Zhang, Ming-Xia Li

Publication date: 18 November 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.058

zbMATH Keywords

regularitycontact zonebilinear elements

Mathematics Subject Classification ID

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

Related Items (9)

\(EQ^{\text{rot}}_1\) nonconforming finite element approximation to Signorini problem ⋮ A complex variable boundary point interpolation method for the nonlinear Signorini problem ⋮ Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem ⋮ Double set parameter finite element method for two-sided displacement obstacle problem of clamped plate ⋮ Superconvergence analysis of finite element method for a second-type variational inequality ⋮ On \(P_1\) nonconforming finite element aproximation for the Signorini problem ⋮ An analysis of finite volume element method for solving the Signorini problem ⋮ Analysis of the element-free Galerkin method for Signorini problems ⋮ Nonconforming double set parameter finite element methods for a fourth order variational inequality with two-sided displacement obstacle

Cites Work

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• Error estimates for the finite element solution of variational inequalities. Part I. primal theory
• Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains
• Contact between elastic bodies. II. Finite element analysis
• Régularité des solutions d'un problème mêlé Dirichlet–Signorini dans un domaine polygonal plan
• Error estimates for the approximation of some unilateral problems
• Numerical Simulation of Some Variational Inequalities Arisen from Unilateral Contact Problems by the Finite Element Methods
• Quadratic finite element approximation of the Signorini problem
• Hybrid finite element methods for the Signorini problem
• An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems

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