Abstract
This paper deals with optimal control problems for semilinear time-dependent partial differential equations. Apart from the PDE, no additional constraints are present. Solving the necessary conditions for such problems via the Newton-Lagrange method is discussed. Motivated by issues of computational complexity and convergence behavior, the Reduced Hessian SQP algorithm is introduced. Application to a system of reaction-diffusion equations is outlined, and numerical results are given to illustrate the performance of the reduced Hessian algorithm.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35699-0_19
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Griesse, R. (2003). A Reduced SQP Algorithm for the Optimal Control of Semilinear Parabolic Equations. In: Sachs, E.W., Tichatschke, R. (eds) System Modeling and Optimization XX. CSMO 2001. IFIP — The International Federation for Information Processing, vol 130. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35699-0_13
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DOI: https://doi.org/10.1007/978-0-387-35699-0_13
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