A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System

Authors:
R. Griesse;S. Volkwein
Affiliations:
-;-
Venue:
SIAM Journal on Control and Optimization
Year:
2005

Citing 0
Cited 3

Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition

Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations
Error estimates for abstract linear---quadratic optimal control problems using proper orthogonal decomposition

Computational Optimization and Applications
An efficient and robust numerical algorithm for estimating parameters in Turing systems

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Abstract

This paper is concerned with optimal boundary control of an instationary reaction-diffusion system in three spatial dimensions. This problem involves a coupled nonlinear system of parabolic differential equations with bilateral as well as integral control constraints. We include the integral constraint in the cost by a penalty term whereas the bilateral control constraints are handled explicitly. First- and second-order conditions for the optimization problem are analyzed. A primal-dual active set strategy is utilized to compute optimal solutions numerically. The algorithm is compared to a semismooth Newton method.