18 citations · 25 across the 6 of their papers we have counts for
6 papers
Second-order Optimality Conditions for Time-Optimal Control Problems Governed by Semilinear Parabolic Equations
Huynh Khanh, Bui Trong Kien, Arnd Rösch
A class of time-optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints and final point constraints is considered. By introducing the s…
Numerical analysis of a nonsmooth quasilinear elliptic control problem: II. Finite element discretization and error estimates
Christian Clason, Vu Huu Nhu, Arnd Rösch
In this paper, we carry out the numerical analysis of a nonsmooth quasilinear elliptic optimal control problem, where the coefficient in the divergence term of the corresponding st…
Numerical analysis of a nonsmooth quasilinear elliptic control problem: I. Explicit second-order optimality conditions
Christian Clason, Vu Huu Nhu, Arnd Rösch
In this paper, we derive explicit second-order necessary and sufficient optimality conditions of a local minimizer to an optimal control problem for a quasilinear second-order part…
A priori error estimates for the space-time finite element approximation of a non-smooth optimal control problem governed by a coupled semilinear PDE-ODE system
Marita Holtmannspötter, Arnd Rösch
In this paper we investigate a priori error estimates for the space-time Galerkin finite element discretization of a simplified semilinear gradient enhanced damage model. The model…
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation
Christian Clason, Vu Huu Nhu, Arnd Rösch
This paper deals with second-order optimality conditions for a quasilinear elliptic control problem with a nonlinear coefficient in the principal part that is countably (con…
Optimal control of a non-smooth quasilinear elliptic equation
Christian Clason, Vu Huu Nhu, Arnd Rösch
This work is concerned with an optimal control problem governed by a non-smooth quasilinear elliptic equation with a nonlinear coefficient in the principal part that is locally Lip…