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Algorithms for PDE‐constrained optimization
Author(s) -
Herzog Roland,
Kunisch Karl
Publication year - 2010
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201010013
Subject(s) - pointwise , mathematical optimization , optimization problem , optimal control , control variable , mathematics , variable (mathematics) , control (management) , state (computer science) , computer science , algorithm , mathematical analysis , statistics , artificial intelligence
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)