This thesis is devoted to the numerical treatment of optimal control problems governed by second order
hyperbolic partial differential equations. Adaptive finite element methods for optimal control
problems of differential equations of this type are derived using the dual weighted residual method (DWR) and separating the influences
of time, space, and control discretization.
Moreover, semismooth Newton methods for optimal control problems of wave equations with control
constraints and their convergence are analyzed for different types of control action. These two
approaches are applied to
optimal control problems governed by the dynamical Lamé system.
The thesis ends with a discussion of numerical techniques to solve exact controllability problems for the wave equation.
«
This thesis is devoted to the numerical treatment of optimal control problems governed by second order
hyperbolic partial differential equations. Adaptive finite element methods for optimal control
problems of differential equations of this type are derived using the dual weighted residual method (DWR) and separating the influences
of time, space, and control discretization.
Moreover, semismooth Newton methods for optimal control problems of wave equations with control
constraints and their...
»