An augmented Lagrangian technique for variational inequalities

DOI10.1007/BF01445164zbMath0692.49008MaRDI QIDQ583593

Kazufumi Ito, Karl Kunisch

Publication date: 1990

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

zbMATH Keywords

elliptic variational inequalitiesSignorini problemobstacle problemaugmented Lagrangian methodelastoplastic torsion

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Variational inequalities (49J40)

Related Items

ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints, AUGMENTED LAGRANGIAN FINITE-ELEMENTS FOR PLATE CONTACT PROBLEMS, Safeguarded Augmented Lagrangian Methods in Banach Spaces, MULTISYMPLECTIC VARIATIONAL INTEGRATORS FOR NONSMOOTH LAGRANGIAN CONTINUUM MECHANICS, Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities, A coupled total variation model with curvature driven for image colorization, Solution of thin film magnetization problems in type-II superconductivity, Augmented Lagrangian active set methods for obstacle problems, Penalty function method for a variational inequality on Hadamard manifolds, An optimal error estimate of finite element method for parabolic quasi-variational inequalities with non linear source terms, An Augmented Lagrangian Method for Optimization Problems in Banach Spaces, Path-following for optimal control of stationary variational inequalities, Image colorization by fusion of color transfers based on DFT and variance features, Biharmonic obstacle problem: guaranteed and computable error bounds for approximate solutions, Optimal control of pseudoparabolic variational inequalities involving state constraint, The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces, Parabolic variational inequalities: the Lagrange multiplier approach, Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers, Optimal Control of a Biharmonic Obstacle Problem, The primal-dual active set method for a class of nonlinear problems with \(T\)-monotone operators, Augmented Lagrangian finite element methods for contact problems, Local and Global Analysis of Multiplier Methods for Constrained Optimization in Banach Spaces, On finite element approximation of variational inequalities arising from elliptic control problems

Cites Work

• The augmented Lagrangian method for equality and inequality constraints in Hilbert spaces
• Multiplicateur de Lagrange en torsion elasto-plastique
• Multigrid Algorithms for the Solution of Linear Complementarity Problems Arising from Free Boundary Problems
• The Augmented Lagrangian Method for Parameter Estimation in Elliptic Systems
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item