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Second order methods for boundary control of the instationary Navier‐Stokes system
Author(s) -
Hinze M.,
Kunisch K.
Publication year - 2004
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310094
Subject(s) - boundary (topology) , representation (politics) , order (exchange) , convergence (economics) , mathematics , navier–stokes equations , quadratic equation , state (computer science) , control (management) , boundary value problem , mathematical analysis , control theory (sociology) , computer science , algorithm , geometry , physics , artificial intelligence , finance , politics , political science , law , economics , economic growth , compressibility , thermodynamics
Second order methods for open loop optimal boundary control problems governed by the instationary Navier‐Stokes system are investigated. A general analytic framework is developed which allows an elegant representation of first and second order derivatives of the objective functional and of the state equations. Moreover a second order sufficient optimality condition is proved which guarantees local quadratic convergence of Newton's method.