Stabilized finite elements for Tresca friction problem

DOI10.1051/m2an/2022048zbMath1497.65227arXiv2106.12165OpenAlexW3173599366WikidataQ114105407 ScholiaQ114105407MaRDI QIDQ5867508

Juha H. Videman, Tom Gustafsson

Publication date: 14 September 2022

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

Full work available at URL: https://arxiv.org/abs/2106.12165

zbMATH Keywords

finite elementsfrictional contactNitsche's method\textit{a posteriori} error analysis

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)

Related Items (3)

Mortaring for linear elasticity using mixed and stabilized finite elements ⋮ Mixed and Nitsche's discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models ⋮ Residual a posteriori error estimation for frictional contact with Nitsche method

Uses Software

• SciPy
• Matplotlib
• Python
• scikit-fem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• An unbiased Nitsche's approximation of the frictional contact between two elastic structures
• An adaptation of Nitsche's method to the Tresca friction problem
• A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics
• An overview of recent results on Nitsche's method for contact problems
• Residual Error Estimators for Coulomb Friction
• Variationally consistent discretization schemes and numerical algorithms for contact problems
• Mixed finite element methods for the Signorini problem with friction
• An Error Estimate for the Signorini Problem with Coulomb Friction Approximated by Finite Elements
• A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction
• Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method
• Mixed and Stabilized Finite Element Methods for the Obstacle Problem
• A Hybrid High-Order Discretization Combined with Nitsche's Method for Contact and Tresca Friction in Small Strain Elasticity
• On Nitsche's Method for Elastic Contact Problems
• Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization
• Fixed point strategies for elastostatic frictional contact problems
• Computational Contact Mechanics

This page was built for publication: Stabilized finite elements for Tresca friction problem