A posteriori error estimates of higher-order finite elements for frictional contact problems

DOI10.1016/j.cma.2012.02.001zbMath1348.74325OpenAlexW2068467773MaRDI QIDQ337893

Andreas Schröder

Publication date: 3 November 2016

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.2012.02.001

zbMATH Keywords

error estimatesfrictioncontact problemshigher-order finite elements

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) 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)

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\(hp\)-adaptive IPDG/TDG-FEM for parabolic obstacle problems ⋮ A posteriori error control and adaptivity of \(hp\)-finite elements for mixed and mixed-hybrid methods ⋮ An \(h\)-adaptive mortar finite element method for finite deformation contact with higher order \(p\) extension ⋮ An adaptive least-squares mixed finite element method for the Signorini problem ⋮ Self-adaptive projection and boundary element methods for contact problems with Tresca friction ⋮ A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements ⋮ A posteriori error estimates of \(hp\)-adaptive IPDG-FEM for elliptic obstacle problems ⋮ Stabilized mixed \(hp\)-BEM for frictional contact problems in linear elasticity ⋮ On \(hp\)-adaptive BEM for frictional contact problems in linear elasticity ⋮ Biorthogonal basis functions in \(hp\)-adaptive FEM for elliptic obstacle problems ⋮ A posteriori error control of \(hp\)-finite elements for variational inequalities of the first and second kind ⋮ A unified framework for high-order numerical discretizations of variational inequalities

Cites Work

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• Adaptive \(hp\)-FEM for the contact problem with Tresca friction in linear elasticity: The primal-dual formulation and a posteriori error estimation
• Approximation of the Signorini problem with friction by a mixed finite element method
• Solution of variational inequalities in mechanics
• On a splitting type algorithm for the numerical realization of contact problems with Coulomb friction
• Implementation of the fixed point method in contact problems with Coulomb friction based on a dual splitting type technique
• Schwankung von Polynomen zwischen Gitterpunkten. (Oscillations of polynomials between lattice points)
• Mixed Finite Element Methods of Higher-Order for Model Contact Problems
• Error control in h- and hp-adaptive FEM for Signorini's problem
• A Nonsmooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency
• A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
• Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization
• Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization
• Efficient Algorithms for Problems with Friction
• Computational Contact Mechanics

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