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Algorithms for PDE‐constrained optimization

GAMM-MitteilungenPublished 1 October 2010
Roland Herzog, Karl Kunisch
Citations125
SJR quartileQ1
SJR score0.99
SNIP1.68

TL;DR

Some first and second order algorithmic approaches for the solution of PDE‐constrained optimization problems are reviewed and an optimal control problem for the stationary Navier‐Stokes system with pointwise control constraints serves as an illustrative example.

Abstract

Abstract Some first and second order algorithmic approaches for the solution of PDE‐constrained optimization problems are reviewed. An optimal control problem for the stationary Navier‐Stokes system with pointwise control constraints serves as an illustrative example. Some issues in treating inequality constraints for the state variable and alternative objective functions are also discussed (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Keywords

MathematicsEngineering