Generalized penalty method for elliptic variational-hemivariational inequalities

DOI10.1007/s00245-019-09563-4zbMath1461.49013OpenAlexW2921903554WikidataQ128257155 ScholiaQ128257155MaRDI QIDQ2020309

Yi-bin Xiao, Mircea Sofonea

Publication date: 23 April 2021

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-019-09563-4

zbMATH Keywords

convergencefrictional contactClarke subdifferentialpenalty methodvariational-hemivariational inequality

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (26)

Tykhonov well-posedness of a heat transfer problem with unilateral constraints. ⋮ Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets ⋮ A new class of history-dependent quasi variational-hemivariational inequalities with constraints ⋮ Convergence results for elliptic variational-hemivariational inequalities ⋮ Convergence of solutions to history‐dependent variational‐hemivariational inequalities ⋮ Time-dependent elliptic quasi-variational-hemivariational inequalities: well-posedness and application ⋮ Coupled system of fractional hemivariational inequalities with applications ⋮ Boundary optimal control of a nonsmooth frictionless contact problem ⋮ Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear ⋮ Tykhonov well-posedness of a frictionless unilateral contact problem ⋮ Strict feasibility of variational inclusion problems in reflexive Banach spaces ⋮ Modified extragradient method for pseudomonotone variational inequalities in infinite dimensional Hilbert spaces ⋮ Convergence results for a class of multivalued variational-hemivariational inequality ⋮ P-strict feasibility of bifunction variational inequalities in reflexive Banach spaces ⋮ On the well-posedness concept in the sense of Tykhonov ⋮ Scalarizations and optimality of constrained set-valued optimization using improvement sets and image space analysis ⋮ Stability analysis of partial differential variational inequalities in Banach spaces ⋮ Generalized penalty method for history-dependent variational-hemivariational inequalities ⋮ Tykhonov well-posedness of split problems ⋮ Two adaptive modified subgradient extragradient methods for bilevel pseudomonotone variational inequalities with applications ⋮ A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities ⋮ Optimal control for a class of mixed variational problems ⋮ Penalty method for a class of differential nonlinear system arising in contact mechanics ⋮ Regularization for a class of quasi-variational-hemivariational inequalities ⋮ Penalty Method for a Class of Differential Hemivariational Inequalities with Application ⋮ ON A CLASS OF SADDLE POINT PROBLEMS AND CONVERGENCE RESULTS

Cites Work

• Variational inequalities and frictional contact problems
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• A class of history-dependent variational-hemivariational inequalities
• On convergence of solutions to variational-hemivariational inequalities
• Metric characterizations for well-posedness of split hemivariational inequalities
• Browder-Tikhonov regularization for a class of evolution second order hemivariational inequalities
• Numerical analysis of stationary variational-hemivariational inequalities
• Optimal control of elliptic variational-hemivariational inequalities
• A penalty method for history-dependent variational-hemivariational inequalities
• Optimization problems for elastic contact models with unilateral constraints
• Noncoercive hyperbolic variational inequalities with applications to contact mechanics
• A class of variational-hemivariational inequalities in reflexive Banach spaces
• Boundary optimal control of a nonsmooth frictionless contact problem
• Optimization problems for a viscoelastic frictional contact problem with unilateral constraints
• Optimal control for a class of mixed variational problems
• Some equivalence results for well-posedness of hemivariational inequalities
• A system of time-dependent hemivariational inequalities with Volterra integral terms
• Problèmes unilateraux
• On the optimal control of variational-hemivariational inequalities
• Fully history-dependent quasivariational inequalities in contact mechanics
• Penalization of history-dependent variational inequalities
• Mathematical Models in Contact Mechanics
• Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems
• Optimization and nonsmooth analysis
• A nonsmooth static frictionless contact problem with locking materials
• 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 Elliptic Hemivariational Inequalities
• Penalty and regularization method for variational‐hemivariational inequalities with application to frictional contact
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized penalty method for elliptic variational-hemivariational inequalities