Michael Hinze, Karl Kunisch:

Second Order Methods for Boundary Control of the Instationary Navier-Stokes System

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.

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