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

Griva, IgorMejeur, Joel M.2018-10-222018-10-222017https://hdl.handle.net/1920/11279State 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.130 pagesenCopyright 2017 Joel M. MejeurApplied mathematicsAugmented LagrangianControl ConstraintsElliptic ControlNonlinear RescalingPDE Constrained OptimizationState ConstraintsFunction Space Nonlinear Rescaling Methods for Elliptic Control Problems with Point-wise State and Control ConstraintsDissertation