On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities

DOI10.1007/978-1-4614-8615-2_5zbMath1280.49022OpenAlexW75007390MaRDI QIDQ5745751

Nina Ovcharova, Joachim Gwinner

Publication date: 31 January 2014

Published in: Springer Optimization and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-8615-2_5

zbMATH Keywords

bilateral contacthemivariational inequalitiesnondifferentiable optimizationregularization methodelastic bodiessmoothing approximationplus function

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Contact in solid mechanics (74M15)

Related Items

From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems, Noncoercive variational-hemivariational inequalities: existence, approximation by double regularization, and application to nonmonotone contact problems, From solvability and approximation of variational inequalities to solution of nondifferentiable optimization problems in contact mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Smoothing functions and smoothing Newton method for complementarity and variational inequality problems
• Smoothing methods for nonsmooth, nonconvex minimization
• Contact problems with nonmonotone friction: Discretization and numerical realization
• Variational and hemivariational inequalities: theory, methods and applications. Vol. I: Unilateral analysis and unilateral mechanics
• A class of smoothing functions for nonlinear and mixed complementarity problems
• Finite element method for hemivariational inequalities. Theory, methods and applications
• Variational inequalities with applications. A study of antiplane frictional contact problems
• Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution
• A smoothing-out technique for min—max optimization
• Variational Analysis
• Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Solving variational inequality problems via smoothing-nonsmooth reformulations