5 papers
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…
Goal-Oriented Adaptive Space-Time Finite Element Methods for Regularized Parabolic p-Laplace Problems
B. Endtmayer, U. Langer, A. Schafelner
We consider goal-oriented adaptive space-time finite-element discretizations of the regularized parabolic p-Laplace problem on completely unstructured simplicial space-time meshes.…
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…