8 citations · 13 across the 5 of their papers we have counts for
5 papers
Crank-Nicolson time stepping and variational discretization of control-constrained parabolic optimal control problems
Nikolaus von Daniels, Michael Hinze, Morten Vierling
We consider a control constrained parabolic optimal control problem and use variational discretization for its time semi-discretization. The state equation is treated with a Petrov…
Control-constrained parabolic optimal control problems on evolving surfaces - theory and variational discretization
Morten Vierling
We consider control-constrained linear-quadratic optimal control problems on evolving surfaces. In order to formulate well-posed problems, we prove existence and uniqueness of weak…
Optimal Control of the Laplace-Beltrami operator on compact surfaces - concept and numerical treatment
Michael Hinze, Morten Vierling
We consider optimal control problems of elliptic PDEs on hypersurfaces in 2- or 3-dimensional Euclidean space. The leading part of the PDE is given by the Laplace-Beltrami operator…
An optimal order error estimate for the variational discretization of optimal control problems in the presence of pointwise control and state constraints
Morten Vierling
We consider the variational discretization of a linear-quadratic optimal control problem with pointwise control and state constraints. In order to allow for a Fréchet smooth norm,…
Variational discretization and semi-smooth Newton methods; implementation, convergence and globalization in pde constrained optimization with control constraints
Michael Hinze, Morten Vierling
When combining the numerical concept of variational discretization and semi-smooth Newton methods for the numerical solution of pde constrained optimization with control constraint…