1 citations · 1 across the 12 of their papers we have counts for
12 papers
Space-time tensor-product finite element methods for parabolic problems
Richard Löscher, Michael Reichelt, Olaf Steinbach
We study space-time Galerkin--Petrov formulations for parabolic evolution problems and their relation to classical implicit time-stepping schemes. Although such schemes are stable…
Numerical solution of elliptic distributed optimal control problems with boundary value tracking
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We consider some boundary value tracking optimal control problem constrained by a Neumann boundary value problem for some elliptic partial differential equation where the control a…
Adaptive least-squares space-time finite element methods for convection-diffusion problems
Christian Köthe, Olaf Steinbach
In this paper we formulate and analyse adaptive (space-time) least-squares finite element methods for the solution of convection-diffusion equations. The convective derivative $\ma…
A unified framework for the analysis, numerical approximation and model reduction of linear operator equations, Part I: Well-posedness in space and time
Moritz Feuerle, Richard Löscher, Olaf Steinbach +1
We present a unified framework to construct well-posed formulations for large classes of linear operator equations including elliptic, parabolic and hyperbolic partial differential…
State-based approach to the numerical solution of Dirichlet boundary optimal control problems for the Laplace equation
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We investigate the Dirichlet boundary control of the Laplace equation, considering the control in , which is the natural space for Dirichlet data when the stat…
State-based nested iteration solution of optimal control problems with PDE constraints
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We consider an abstract framework for the numerical solution of optimal control problems (OCPs) subject to partial differential equations (PDEs). Examples include not only the dist…
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…
Optimal complexity solution of space-time finite element systems for state-based parabolic distributed optimal control problems
Richard Löscher, Michael Reichelt, Olaf Steinbach
We consider a distributed optimal control problem subject to a parabolic evolution equation as constraint. The control will be considered in the energy norm of the anisotropic Sobo…
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…
Stable least-squares space-time boundary element methods for the wave equation
Daniel Hoonhout, Richard Löscher, Olaf Steinbach +1
In this paper, we recast the variational formulation corresponding to the single layer boundary integral operator for the wave equation as a minimization problem…
Parallel iterative solvers for discretized reduced optimality systems
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We propose, analyze, and test new iterative solvers for large-scale systems of linear algebraic equations arising from the finite element discretization of reduced optimality syste…
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…