15 citations · 37 across the 19 of their papers we have counts for
17 papers · 1 filter
A space-time finite element method for the eddy current approximation of rotating electric machines
Peter Gangl, Mario Gobrial, Olaf Steinbach
In this paper we formulate and analyze a space-time finite element method for the numerical simulation of rotating electric machines where the finite element mesh is fixed in space…
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…
Space-time finite element methods for distributed optimal control of the wave equation
Richard Löscher, Olaf Steinbach
We consider space-time tracking type distributed optimal control problems for the wave equation in the space-time domain , where the c…
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 …
Robust space-time finite element error estimates for parabolic distributed optimal control problems with energy regularization
Ulrich Langer, Olaf Steinbach, Huidong Yang
We consider space-time tracking optimal control problems for linear para\-bo\-lic initial boundary value problems that are given in the space-time cylinder , and…
Towards coercive boundary element methods for the wave equation
Olaf Steinbach, Carolina Urzúa-Torres, Marco Zank
In this note, we discuss the ellipticity of the single layer boundary integral operator for the wave equation in one space dimension. This result not only generalizes the well-know…
A new approach to space-time boundary integral equations for the wave equation
Olaf Steinbach, Carolina Urzúa-Torres
We present a new approach for boundary integral equations for the wave equation with zero initial conditions. Unlike previous attempts, our mathematical formulation allows us to pr…
Numerical results for an unconditionally stable space-time finite element method for the wave equation
Richard Löscher, Olaf Steinbach, Marco Zank
In this work, we introduce a new space-time variational formulation of the second-order wave equation, where integration by parts is also applied with respect to the time variable,…
Robust discretization and solvers for elliptic optimal control problems with energy regularization
Ulrich Langer, Olaf Steinbach, Huidong Yang
We consider the finite element discretization and the iterative solution of singularly perturbed elliptic reaction-diffusion equations in three-dimensional computational domains. T…
A generalized inf-sup stable variational formulation for the wave equation
Olaf Steinbach, Marco Zank
In this paper, we consider a variational formulation for the Dirichlet problem of the wave equation with zero boundary and initial conditions, where we use integration by parts in…
Unstructured space-time finite element methods for optimal control of parabolic equations
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
This work presents and analyzes space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of parabolic optimal control problem…
Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations
Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1
We consider a space-time finite element method on fully unstructured simplicial meshes for optimal sparse control of semilinear parabolic equations. The objective is a combination…
A parallel solver for a preconditioned space-time boundary element method for the heat equation
Stefan Dohr, Michal Merta, Günther Of +2
We describe a parallel solver for the discretized weakly singular space-time boundary integral equation of the spatially two-dimensional heat equation. The global space-time nature…
Preconditioned space-time boundary element methods for the one-dimensional heat equation
Stefan Dohr, Olaf Steinbach
In this note we describe a space-time boundary element discretization of the heat equation and an efficient and robust preconditioning strategy which is based on the use of boundar…
Trace and flux a priori error estimates in finite element approximations of Signorni-type problems
Olaf Steinbach, Barbara Wohlmuth, Linus Wunderlich
Variational inequalities play in many applications an important role and are an active research area. Optimal a priori error estimates in the natural energy norm do exist but only…