Zobrazeno 1 - 10
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pro vyhledávání: '"Trautmann, Philip"'
Autor:
Trautmann, Philip, Walter, Daniel
We analyze a solution method for minimization problems over a space of $\mathbb{R}^d$-valued functions of bounded variation on an interval $I$. The presented method relies on piecewise constant iterates. In each iteration the algorithm alternates bet
Externí odkaz:
http://arxiv.org/abs/2106.00633
Autor:
Kunisch, Karl, Trautmann, Philip
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 squares problem and solved by a projected version of the Levenberg Marquar
Externí odkaz:
http://arxiv.org/abs/2006.05481
Publikováno v:
Applied Mathematics and Optimization 84 (2021), 2889-2921
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 of optimal controls, which requires continuity results for the coeffici
Externí odkaz:
http://arxiv.org/abs/1912.08672
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 lies on the convergence analysis of the discretization method. The stat
Externí odkaz:
http://arxiv.org/abs/1907.11197
Publikováno v:
Comput. Optim. and Appl., 77(1):213-249, 2020
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 addressed. To this purpose, a family of sparse optimization problems in
Externí odkaz:
http://arxiv.org/abs/1805.03310
This work is concerned with the optimal control problems governed by a 1D wave equation with variable coefficients and the control spaces $\mathcal M_T$ of either measure-valued functions $L_{w^*}^2(I,\mathcal M(\Omega))$ or vector measures $\mathcal
Externí odkaz:
http://arxiv.org/abs/1702.00362
Autor:
Trautmann, Philip, Walter, Daniel
Publikováno v:
Optimization; Jun2024, Vol. 73 Issue 6, p1851-1895, 45p
Autor:
Trautmann, Philip1 (AUTHOR), Walter, Daniel2 (AUTHOR) daniel.walter@oeaw.ac.at
Publikováno v:
Optimization. Jun2024, Vol. 73 Issue 6, p1851-1895. 45p.
Publikováno v:
In Comptes rendus - Mathématique May 2018 356(5):523-531
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