Function Space Nonlinear Rescaling Methods for Elliptic Control Problems with Point-wise State and Control Constraints

Date

2017

Authors

Mejeur, Joel M.

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Abstract

State inequality constraints in PDE Constrained Optimization (PDECO) arise in many areas of science and engineering. Unfortunately these constraints, and the resulting Lagrange multipliers, are known to negatively influence the behavior of many existing optimization methods.

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Keywords

Applied mathematics, Augmented Lagrangian, Control Constraints, Elliptic Control, Nonlinear Rescaling, PDE Constrained Optimization, State Constraints

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