activity
20212025
most citedA Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations

9 citations · 10 across the 7 of their papers we have counts for

collaborators

7 papers

math.NA2025

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…

math.NA2025

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…

math.NA2025

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…

math.NA2024

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…

math.NA2024★ 9 cited

A Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations

Bernhard Endtmayer, Ulrich Langer, Thomas Richter +2

This work reviews goal-oriented a posteriori error control, adaptivity and solver control for finite element approximations to boundary and initial-boundary value problems for stat…

math.NA2023

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…

math.NA2021★ 1 cited

Space-time finite element methods for the initial temperature reconstruction

Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch +1

This work is devoted to the reconstruction of the initial temperature in the backward heat equation using the space-time finite element method on fully unstructured space-time simp…