POD error based inexact SQP method for bilinear elliptic optimal control problems
Martin Kahlbacher, Stefan Volkwein (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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An optimal control problem governed by a bilinear elliptic equation is considered. This problem is solved by the sequential quadratic programming (SQP) method in an infinite-dimensional framework. In each level of this iterative method the solution of linear-quadratic subproblem is computed by a Galerkin projection using proper orthogonal decomposition (POD). Thus, an approximate (inexact) solution of the subproblem is determined. Based...