Comparison of two projection methods for the solution of frictional contact problems

DOI10.1186/s13661-019-1187-zOpenAlexW2945629414WikidataQ128113770 ScholiaQ128113770MaRDI QIDQ2108279

Shougui Zhang, Rui-Sheng Ran

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1187-z

zbMATH Keywords

variational inequalityprojection methodboundary elementfrictional contact problemself-adaptive rule

Mathematics Subject Classification ID

Special kinds of problems in solid mechanics (74Mxx) Existence theories in calculus of variations and optimal control (49Jxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (1)

Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations

Cites Work

• Unnamed Item
• An augmented Lagrangian method for the Signorini boundary value problem with BEM
• Optimal control of a frictional contact problem
• A class of optimal control problems for piezoelectric frictional contact models
• A duality based semismooth Newton framework for solving variational inequalities of the second kind
• An inexact implicit method for general mixed variational inequalities
• Boundary integral equations
• Self-adaptive implicit methods for monotone variant variational inequalities
• Self-adaptive operator splitting methods for monotone variational inequalities
• A posteriori error analysis via duality theory. With applications in modeling and numerical approximations.
• An adaptation of Nitsche's method to the Tresca friction problem
• Self-adaptive projection and boundary element methods for contact problems with Tresca friction
• A self-adaptive projection method for contact problems with the BEM
• A posteriori error analysis for finite element solutions of a frictional contact problem
• Discontinuous Galerkin methods for solving a quasistatic contact problem
• A Nitsche-Based Method for Unilateral Contact Problems: Numerical Analysis
• Numerical Approximation Methods for Elliptic Boundary Value Problems
• Semismooth Newton and Augmented Lagrangian Methods for a Simplified Friction Problem

This page was built for publication: Comparison of two projection methods for the solution of frictional contact problems