Implicit function theorems for generalized equations
Mathematical Programming: Series A and B
Primal-dual interior-point methods
Primal-dual interior-point methods
Path-following Methods for a Class of Constrained Minimization Problems in Function Space
SIAM Journal on Optimization
Path-following and augmented Lagrangian methods for contact problems in linear elasticity
Journal of Computational and Applied Mathematics
Inexact Central Path Following Algorithms for Optimal Control Problems
SIAM Journal on Control and Optimization
Primal-dual interior-point methods for PDE-constrained optimization
Mathematical Programming: Series A and B
Lagrange Multiplier Approach to Variational Problems and Applications
Lagrange Multiplier Approach to Variational Problems and Applications
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Moreau-Yosida based approximation techniques for optimal control of variational inequalities are investigated. Properties of the path generated by solutions to the regularized equations are analyzed. Combined with a semi-smooth Newton method for the regularized problems these lead to an efficient numerical technique.