A priori error estimates for elliptic optimal control problems with a bilinear state equation
Journal of Computational and Applied Mathematics
Computational Optimization and Applications
Computational Optimization and Applications
Semismooth Newton Methods for Time-Optimal Control for a Class of ODEs
SIAM Journal on Control and Optimization
Minimal Effort Problems and Their Treatment by Semismooth Newton Methods
SIAM Journal on Control and Optimization
Preconditioning for Allen-Cahn variational inequalities with non-local constraints
Journal of Computational Physics
Directional Sparsity in Optimal Control of Partial Differential Equations
SIAM Journal on Control and Optimization
Computational Optimization and Applications
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The primal-dual active set method has proved to be an efficient numerical tool in the context of diverse applications. So far it has been investigated mainly for linear problems. This paper is devoted to the study of global convergence of the primal-dual active set method for nonlinear problems with bilateral constraints. Utilizing the close relationship between the primal-dual active set method and semismooth Newton methods, local superlinear convergence of the method is investigated as well.