The Rothe Method for Variational-Hemivariational Inequalities with Applications to Contact Mechanics

DOI10.1137/151005610zbMath1342.49009OpenAlexW2288394564MaRDI QIDQ2790398

Krzysztof Bartosz, Mircea Sofonea

Publication date: 4 March 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/151005610

zbMATH Keywords

regularityweak solutionuniquenessfrictionless contactstressviscoelastic materialClarke subdifferentialdisplacementsRothe methodvariational-hemivariational inequalityexistence resultnormal complianceunilateral constraint

Mathematics Subject Classification ID

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Cites Work

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• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Rothe method for parabolic variational-hemivariational inequalities
• History-dependent variational-hemivariational inequalities in contact mechanics
• Solution of variational inequalities in mechanics
• A theory of discretization for nonlinear evolution inequalities applied to parabolic Signorini problems
• Models and analysis of quasistatic contact. Variational methods
• Finite element method for hemivariational inequalities. Theory, methods and applications
• Advances in variational and hemivariational inequalities. Theory, numerical analysis, and applications
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Problèmes unilateraux
• An analytical and numerical approach to a bilateral contact problem with nonmonotone friction
• Mathematical Models in Contact Mechanics
• A range and existence theorem for pseudomonotone perturbations of maximal monotone operators
• Optimization and nonsmooth analysis
• An Introduction to Variational Inequalities and Their Applications
• Numerical analysis of history-dependent variational–hemivariational inequalities with applications to contact problems
• Convergence of Rothe scheme for hemivariational inequalities of parabolic type
• A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
• Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact
• ANALYSIS OF A CONTACT PROBLEM WITH NORMAL COMPLIANCE, FINITE PENETRATION AND NONMONOTONE SLIP DEPENDENT FRICTION
• Nonconvex Problems of Semipermeable Media and Related Topics
• Set-valued analysis

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