On numerical solution of hemivariational inequalities by nonsmooth optimization methods

DOI10.1007/BF01100086zbMath0837.49007OpenAlexW2064011783WikidataQ109654988 ScholiaQ109654988MaRDI QIDQ1905959

M. M. Mkel, Markku Miettinen, Jaroslav Haslinger

Publication date: 8 May 1996

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01100086

zbMATH Keywords

finite element approximationhemivariational inequalitiesnumerical solutionproximal bundle method

Mathematics Subject Classification ID

Variational inequalities (49J40) Programming in abstract spaces (90C48) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (10)

A deep neural network-based numerical method for solving contact problems ⋮ On the well-posedness of variational-hemivariational inequalities and associated fixed point problems ⋮ A study on the dependency of the interface forces on the FE discretization in nonconvex‐nonsmooth frictional contact problems ⋮ Minimization principles for elliptic hemivariational inequalities ⋮ On the convergence of the proximal algorithm for nonsmooth functions involving analytic features ⋮ Existence of solutions for wave-type hemivariational inequalities with noncoercive viscosity damping ⋮ Approximation of thermoelasticity contact problem with nonmonotone friction ⋮ From solvability and approximation of variational inequalities to solution of nondifferentiable optimization problems in contact mechanics ⋮ Finite element approximation of parabolic hemivariational inequalities ⋮ Quasidifferential modelling of adhesive contact.

Uses Software

• NSOLIB

Cites Work

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• Methods of descent for nondifferentiable optimization
• The Cutting-Plane Method for Solving Convex Programs
• Coercive and semicoercive hemivariational inequalities
• Optimization and nonsmooth analysis
• Shadow Prices and Duality for a Class of Optimal Control Problems
• A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
• Approximation of optimal control problems of hemivariational inequalities
• Approximation of non-monotone multivalued differential inclusions
• Hemivariational inequalities with functions fulfilling directional growth condition

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