6 papers · 1 filter
Robust finite element solvers for distributed hyperbolic optimal control problems
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We propose, analyze, and test new robust iterative solvers for systems of linear algebraic equations arising from the space-time finite element discretization of reduced optimality…
On a modified Hilbert transformation, the discrete inf-sup condition, and error estimates
Richard Löscher, Olaf Steinbach, Marco Zank
In this paper, we analyze the discrete inf-sup condition and related error estimates for a modified Hilbert transformation as used in the space-time discretization of time-dependen…
Adaptive least-squares space-time finite element methods
Christian Köthe, Richard Löscher, Olaf Steinbach
We consider the numerical solution of an abstract operator equation by using a least-squares approach. We assume that is an isomorphism, and that $A : Y \to Y…
Mass-lumping discretization and solvers for distributed elliptic optimal control problems
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
The purpose of this paper is to investigate the effects of the use of mass-lumping in the finite element discretization of the reduced first-order optimality system arising from a…
Robust finite element discretization and solvers for distributed elliptic optimal control problems
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We consider standard tracking-type, distributed elliptic optimal control problems with regularization, and their finite element discretization. We are investigating the …
Space-time finite element discretization of parabolic optimal control problems with energy regularization
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
We analyze space-time finite element methods for the numerical solution of distributed parabolic optimal control problems with energy regularization in the Bochner space $L^2(0,T;H…