A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations

Domain Decomposition Methods with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations

An Iterative Non-overlapping Domain Decomposition Method for Optimal Boundary Control Problems Governed by Parabolic Equations

In this paper, we consider a numerical method for solving optimal boundary control problems governed by parabolic equations. In order to avoid large amounts of calculation produced by traditional numerical methods, we establish an iterative non-overlapping domain decomposition method. The whole domain is divided into many non-overlapping subdomains, and the optimal boundary control problem is d...

A New Computational Method for Optimal Control of a Class of Constrained Systems Governed by Partial Differential Equations

A computationally efficient technique for the numerical solution of constrained optimal control problems governed by one-dimensional partial differential equations is considered in this paper. This technique utilizes inversion to map the optimal control problem to a lower dimensional space. Results are presented using the Nonlinear Trajectory Generation software package (NTG) showing that real-...

Optimal Control of Dynamical Systems Governed by Partial Differential Equations: A Perspective from Real-life Applications ⋆

This survey article summarizes some ideas of the two principle procedures for solving optimal control problems governed by partial differential (algebraic) equations: the indirect method or first-optimize-then-discretize approach based on first-order necessary conditions, and the direct method or first-discretize-then-optimize approach based on non-linear programming software. The focus of this...

A Weakly Overlapping Domain Decomposition for the Adaptive Finite Element Solution of Elliptic Partial Differential Equations