Semi-smooth Newton Methods for Optimal Control of the Dynamical Lamé System with Control Constraints
نویسنده
چکیده
In this paper semi-smooth Newton methods for optimal control problems governed by the dynamical Lamé system are considered and their convergence behavior with respect to superlinear convergence is analyzed. Techniques from Kröner, Kunisch, Vexler (2011), where semi-smooth Newton methods for optimal control of the classical wave equation are considered, are transferred to control of the dynamical Lamé system. Three different types of control actions are examined: distributed control, Neumann boundary control and Dirichlet boundary control. The problems are discretized by finite elements and numerical examples are presented.
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