On convergence of numerical methods for variational-hemivariational inequalities under minimal solution regularity

DOI10.1016/j.aml.2019.02.007zbMath1412.49027OpenAlexW2914602169MaRDI QIDQ1739454

Weimin Han, Sheng-Da Zeng

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.007

zbMATH Keywords

convergencenumerical methodsvariational-hemivariational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Regularity of solutions in optimal control (49N60) Discrete approximations in optimal control (49M25)

Related Items (13)

Numerical analysis of a general elliptic variational-hemivariational inequality ⋮ Convergence of a generalized penalty method for variational-hemivariational inequalities ⋮ Numerical analysis of a parabolic hemivariational inequality for semipermeable media ⋮ Convergence analysis of numerical solutions for optimal control of variational-hemivariational inequalities ⋮ Convergence of a generalized penalty and regularization method for quasi-variational-hemivariational inequalities ⋮ Convergence results for a class of multivalued variational-hemivariational inequality ⋮ Gap functions and error bounds for variational-hemivariational inequalities ⋮ The Galerkin method and regularization for variational inequalities in reflexive Banach spaces ⋮ Numerical analysis of a viscoplastic contact problem with normal compliance, unilateral constraint, memory term and friction ⋮ Optimal control and approximation for elliptic bilateral obstacle problems ⋮ Minimization arguments in analysis of variational-hemivariational inequalities ⋮ Generalized penalty method for history-dependent variational-hemivariational inequalities ⋮ Penalty method for a class of differential nonlinear system arising in contact mechanics

Cites Work

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• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Numerical analysis of stationary variational-hemivariational inequalities
• Finite element method for hemivariational inequalities. Theory, methods and applications
• A class of variational-hemivariational inequalities in reflexive Banach spaces
• Theoretical Numerical Analysis
• Optimization and nonsmooth analysis
• Generalized Gradients and Applications
• Numerical analysis of stationary variational-hemivariational inequalities with applications in contact mechanics
• A Class of Variational-Hemivariational Inequalities with Applications to Frictional Contact Problems
• Numerical analysis of hemivariational inequalities in contact mechanics
• Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact
• Numerical Analysis of Elliptic Hemivariational Inequalities

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