Convergence and optimization results for a history-dependent variational problem
DOI10.1007/s10440-019-00293-xOpenAlexW2981569505MaRDI QIDQ2023038
Andaluzia Matei, Mircea Sofonea
Publication date: 3 May 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11338
frictional contactLagrange multiplierviscoelastic materialpointwise convergenceoptimization problemhistory-dependent operatormixed variational problemmosco convergence
Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Nonlinear evolution equations (47J35) Unilateral problems for nonlinear PDEs of mixed type and variational inequalities with nonlinear partial differential operators of mixed type (35M86) Unilateral problems for mixed-type systems of PDEs and systems of variational inequalities with partial differential operators of mixed type (35M87)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fixed point result with applications in the study of viscoplastic frictionless contact problems
- Solution of variational inequalities in mechanics
- Convex functional analysis
- History-dependent mixed variational problems in contact mechanics
- A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics
- Optimization problems for a viscoelastic frictional contact problem with unilateral constraints
- Optimal control for a class of mixed variational problems
- Optimal control of a class of variational-hemivariational inequalities in reflexive Banach spaces
- Convergence of convex sets and of solutions of variational inequalities
- On the optimal control of variational-hemivariational inequalities
- Weak solutions for contact problems involving viscoelastic materials with long memory
- A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
- Mathematical Models in Contact Mechanics
- CONTACT PROBLEMS FOR NONLINEARLY ELASTIC MATERIALS: WEAK SOLVABILITY INVOLVING DUAL LAGRANGE MULTIPLIERS
- History-dependent quasi-variational inequalities arising in contact mechanics
- Quasistatic viscoelastic contact with friction and wear diffusion
- Analysis of Quasistatic Viscoplastic Contact Problems with Normal Compliance
- Efficient Algorithms for Problems with Friction
- On the behavior of the solution of a viscoplastic contact problem
- An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems
This page was built for publication: Convergence and optimization results for a history-dependent variational problem
