13 citations · 30 across the 6 of their papers we have counts for
6 papers
A fast Primal-Dual-Active-Jump method for minimization in
Philip Trautmann, Daniel Walter
We analyze a solution method for minimization problems over a space of -valued functions of bounded variation on an interval . The presented method relies on piece…
An inverse problem involving a viscous Eikonal equation with applications in electrophysiology
Karl Kunisch, Philip Trautmann
In this work we discuss the reconstruction of cardiac activation instants based on a viscous Eikonal equation from boundary observations. The problem is formulated as an least squa…
Optimal control of the principal coefficient in a scalar wave equation
Christian Clason, Karl Kunisch, Philip Trautmann
We consider optimal control of the scalar wave equation where the control enters as a coefficient in the principal part. Adding a total variation penalty allows showing existence o…
Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation
Sebastian Engel, Philip Trautmann, Boris Vexler
This work discusses the finite element discretization of an optimal control problem for the linear wave equation with time-dependent controls of bounded variation. The main focus l…
Inverse point source location with the Helmholtz equation on a bounded domain
Konstantin Pieper, Bao Quoc Tang, Philip Trautmann +1
The problem of recovering acoustic sources, more specifically monopoles, from point-wise measurements of the corresponding acoustic pressure at a limited number of frequencies is a…
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients
Philip Trautmann, Boris Vexler, Alexander Zlotnik
This work is concerned with the optimal control problems governed by a 1D wave equation with variable coefficients and the control spaces of either measure-valued fu…