7 citations · 8 across the 13 of their papers we have counts for
13 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…
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…
On the exponential stability of uniformly damped wave equations
Herbert Egger, Stefan Kurz, Richard Löscher
We study damped wave propagation problems phrased as abstract evolution equations in Hilbert spaces. Under some general assumptions, including a natural compatibility condition for…
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…
Regularization and finite element error estimates for elliptic distributed optimal control problems with energy regularization and state or control constraints
Peter Gangl, Richard Löscher, Olaf Steinbach
In this paper we discuss the numerical solution of elliptic distributed optimal control problems with state or control constraints when the control is considered in the energy norm…
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…
An adaptive finite element method for distributed elliptic optimal control problems with variable energy regularization
Ulrich Langer, Richard Löscher, Olaf Steinbach +1
We analyze the finite element discretization of distributed elliptic optimal control problems with variable energy regularization, where the usual norm regularization term…
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 …
On torque computation in electric machine simulation by harmonic mortar methods
Herbert Egger, Mané Harutyunyan, Richard Löscher +2
The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor couplin…