1 citations · 2 across the 2 of their papers we have counts for
6 papers
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…
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…
First and Second Order Optimality Conditions for the Control of Fokker-Planck Equations
M. Soledad Aronna, Fredi Tröltzsch
In this article we study an optimal control problem subject to the Fokker-Planck equation \[ \partial_t ρ- νΔρ- {\rm div } \big(ρB[u]\big) = 0. \] The control variable is time-…
Optimal time delays in a class of reaction-diffusion equations
Eduardo Casas, Mariano Mateos, Fredi Tröltzsch
A class of semilinear parabolic reaction diffusion equations with multiple time delays is considered. These time delays and corresponding weights are to be optimized such that the…
Measure Control of a Semilinear Parabolic Equation with a Nonlocal Time Delay
Eduardo Casas, Mariano Mateos, Fredi Tröltzsch
We study a control problem governed by a semilinear parabolic equation. The control is a measure that acts as the kernel of a possibly nonlocal time delay term and the functional i…