A study of regularization techniques of nondifferentiable optimization in view of application to hemivariational inequalities
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Publication:462996
DOI10.1007/s10957-014-0521-yzbMath1298.74083OpenAlexW1996144883MaRDI QIDQ462996
Nina Ovcharova, Joachim Gwinner
Publication date: 23 October 2014
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-014-0521-y
finite element discretizationhemivariational inequalitiessmoothing approximationplus functiondelamination problem
Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Fracture and damage (74R99)
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Cites Work
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- 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
- Mathematical modeling of delamination and nonmonotone friction problems by hemivariational inequalities.
- Hemivariational inequality for a frictional contact problem in elasto-piezoelectricity
- Contact problems with nonmonotone friction: Discretization and numerical realization
- Variational principles and convergence of finite element approximations of a holonomic elastic-plastic problem
- The regularization method for an obstacle problem
- 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
- Smoothing methods for convex inequalities and linear complementarity problems
- Finite element method for hemivariational inequalities. Theory, methods and applications
- \(hp\)-FEM convergence for unilateral contact problems with Tresca friction in plane linear elastostatics
- Variational inequalities with applications. A study of antiplane frictional contact problems
- A unified approach to dynamic contact problems in viscoelasticity
- Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution
- A hemivariational inequality in crack problems
- INTEGRODIFFERENTIAL HEMIVARIATIONAL INEQUALITIES WITH APPLICATIONS TO VISCOELASTIC FRICTIONAL CONTACT
- Optimization and nonsmooth analysis
- A smoothing-out technique for min—max optimization
- Approximation of optimal control problems of hemivariational inequalities
- On Smoothing Exact Penalty Functions for Convex Constrained Optimization
- 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
- An Introduction to Partial Differential Equations
- Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction
- Solving variational inequality problems via smoothing-nonsmooth reformulations
