A priori error estimates for the finite element approximation of a nonsmooth optimal control problem governed by a coupled semilinear PDE-ODE system
M Holtmannspötter, A Rösch - SIAM Journal on Control and Optimization, 2021 - SIAM
In this paper we investigate a priori error estimates for finite element discretization of a
simplified semilinear gradient enhanced damage model. The model equations are of a …
simplified semilinear gradient enhanced damage model. The model equations are of a …
Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem
C Christof, C Haubner - Numerische Mathematik, 2020 - Springer
This paper is concerned with error estimates for the piecewise linear finite element
approximation of the two-dimensional scalar Signorini problem on a convex polygonal …
approximation of the two-dimensional scalar Signorini problem on a convex polygonal …
[图书][B] Non-Smooth Optimization by Abs-Linearization in Reflexive Function Spaces
O Weiß - 2021 - search.proquest.com
Non-smooth optimization problems in reflexive Banach spaces arise in many applications.
Frequently, all non-differentiabilities involved are assumed to be given by …
Frequently, all non-differentiabilities involved are assumed to be given by …
[HTML][HTML] On solving elliptic obstacle problems by constant abs-linearization
O Weiß, M Weymuth - Results in Control and Optimization, 2023 - Elsevier
We consider optimal control problems governed by an elliptic variational inequality of the
first kind, namely the obstacle problem. The variational inequality is treated by penalization …
first kind, namely the obstacle problem. The variational inequality is treated by penalization …
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
M Holtmannspötter, A Rösch - arXiv preprint arXiv:2004.05837, 2020 - arxiv.org
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 …
discretization of a simplified semilinear gradient enhanced damage model. The model …
[PDF][PDF] Results in Control and Optimization
O Weiß, M Weymuth - athene-forschung.rz.unibw …
We consider optimal control problems governed by an elliptic variational inequality of the
first kind, namely the obstacle problem. The variational inequality is treated by penalization …
first kind, namely the obstacle problem. The variational inequality is treated by penalization …