Space-time finite element methods for distributed optimal control of the wave equation

R Löscher, O Steinbach - SIAM Journal on Numerical Analysis, 2024 - SIAM
We consider space-time tracking-type distributed optimal control problems for the wave
equation in the space-time domain, where the control is assumed to be in the energy space …

On compact 4th order finite-difference schemes for the wave equation

A Zlotnik, O Kireeva - arxiv preprint arxiv:2011.14104, 2020 - arxiv.org
We consider compact finite-difference schemes of the 4th approximation order for an initial-
boundary value problem (IBVP) for the $ n $-dimensional non-homogeneous wave …

A finite element data assimilation method for the wave equation

E Burman, A Feizmohammadi, L Oksanen - Mathematics of Computation, 2020 - ams.org
We design a primal-dual stabilized finite element method for the numerical approximation of
a data assimilation problem subject to the acoustic wave equation. For the forward problem …

Analysis and approximation to parabolic optimal control problems with measure-valued controls in time

W Gong, D Liang - ESAIM: Control, Optimisation and Calculus of …, 2025 - esaim-cocv.org
In this paper, we investigate an optimal control problem governed by parabolic equations
with measure-valued controls over time. We establish the well-posedness of the optimal …

On sparse sensor placement for parameter identification problems with partial differential equations

D Walter - 2019 - mediatum.ub.tum.de
This thesis is concerned with the formulation and analysis of a sparse optimization
framework for the optimal placement of measurement sensors in inverse problems. At the …

Optimal control in a bounded domain for wave propagating in the whole space: coupling through boundary integral equations

W Gong, B Li, H Yang - Journal of Scientific Computing, 2022 - Springer
This paper is concerned with an optimal control problem in a bounded-domain Ω 0 under
the constraint of a wave equation in the whole space. The problem is regularized and then …

Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation

S Engel, B Vexler, P Trautmann - IMA Journal of Numerical …, 2021 - academic.oup.com
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 …

Analysis and approximation to parabolic optimal control problems with measure-valued controls in time

W Gong, D Liang - arxiv preprint arxiv:2404.02546, 2024 - arxiv.org
In this paper, we investigate an optimal control problem governed by parabolic equations
with measure-valued controls over time. We establish the well-posedness of the optimal …

Finite element error estimates for one-dimensional elliptic optimal control by BV functions

D Hafemeyer, F Mannel, I Neitzel, B Vexler - arxiv preprint arxiv …, 2019 - arxiv.org
We consider an optimal control problem governed by a one-dimensional elliptic equation
that involves univariate functions of bounded variation as controls. For the discretization of …

[HTML][HTML] Optimal control of an eddy current problem with a dipole source

G Caselli - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
This paper is concerned with the analysis of a class of optimal control problems governed by
a time-harmonic eddy current system with a dipole source, which is taken as the control …