An augmented Lagrangian method for optimization problems in Banach spaces
We propose a variant of the classical augmented Lagrangian method for constrained
optimization problems in Banach spaces. Our theoretical framework does not require any …
optimization problems in Banach spaces. Our theoretical framework does not require any …
A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints
SC Brenner, L Sung - SIAM Journal on Control and Optimization, 2017 - SIAM
We consider finite element methods for elliptic distributed optimal control problems with
pointwise state constraints on two and three dimensional convex polyhedral domains …
pointwise state constraints on two and three dimensional convex polyhedral domains …
Lagrange multiplier methods for constrained optimization and variational problems in Banach spaces
D Steck - 2018 - opus.bibliothek.uni-wuerzburg.de
This thesis is concerned with a class of general-purpose algorithms for constrained
minimization problems, variational inequalities, and quasi-variational inequalities in Banach …
minimization problems, variational inequalities, and quasi-variational inequalities in Banach …
A symmetric interior penalty method for an elliptic distributed optimal control problem with pointwise state constraints
We construct a symmetric interior penalty method for an elliptic distributed optimal control
problem with pointwise state constraints on general polygonal domains. The resulting …
problem with pointwise state constraints on general polygonal domains. The resulting …
Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on Nonconvex Polygonal Domains with Pointwise State Constraints
$C^0$ Interior Penalty Methods for an Elliptic Distributed Optimal Control Problem on
Nonconvex Polygonal Domains with Pointwise Page 1 Copyright © by SIAM. Unauthorized …
Nonconvex Polygonal Domains with Pointwise Page 1 Copyright © by SIAM. Unauthorized …
Local and global analysis of multiplier methods for constrained optimization in Banach spaces
We propose an augmented Lagrangian method for the solution of constrained optimization
problems in Banach spaces. The framework we consider is very general and encompasses …
problems in Banach spaces. The framework we consider is very general and encompasses …
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations
E Casas, M Mateos, A Rösch - Numerische Mathematik, 2021 - Springer
We analyze the numerical approximation of a control problem governed by a non-monotone
and non-coercive semilinear elliptic equation. The lack of monotonicity and coercivity is due …
and non-coercive semilinear elliptic equation. The lack of monotonicity and coercivity is due …
[PDF][PDF] P 1 finite element methods for an elliptic optimal control problem with pointwise state constraints
P1 finite element methods for an elliptic optimal control problem with pointwise state
constraints Page 1 IMA Journal of Numerical Analysis (2020) 40, 1–28 doi:10.1093/imanum/dry071 …
constraints Page 1 IMA Journal of Numerical Analysis (2020) 40, 1–28 doi:10.1093/imanum/dry071 …
P1 finite element methods for an elliptic state-constrained distributed optimal control problem with Neumann boundary conditions
P1 finite element methods for an elliptic state-constrained distributed optimal control problem
with Neumann boundary conditions - ScienceDirect Skip to main contentSkip to article …
with Neumann boundary conditions - ScienceDirect Skip to main contentSkip to article …
Multigrid methods for an elliptic optimal control problem with pointwise state constraints
We design multigrid methods for an elliptic distributed optimal control problem with
pointwise state constraints. They are based on the P 1 finite element method from Brenner et …
pointwise state constraints. They are based on the P 1 finite element method from Brenner et …