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State-based approach to the numerical solution of Dirichlet boundary optimal control problems for the Laplace equation
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We investigate the Dirichlet boundary control of the Laplace equation, considering the control in , which is the natural space for Dirichlet data when the stat…
State-based nested iteration solution of optimal control problems with PDE constraints
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We consider an abstract framework for the numerical solution of optimal control problems (OCPs) subject to partial differential equations (PDEs). Examples include not only the dist…
Space-time finite element methods for the initial temperature reconstruction
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
This work is devoted to the reconstruction of the initial temperature in the backward heat equation using the space-time finite element method on fully unstructured space-time simp…