This work concentrates on a class of optimal control problems for semilinear parabolic
equations subject to control constraint of the form‖ u (t)‖ L 1 (Ω)≤ γ for t∈(0, T). This limits …

Optimal experimental design seeks to determine the most informative allocation of
experiments to infer an unknown statistical quantity. In this work, we investigate optimal …

We present a numerical scheme for solving an inverse problem for parameter estimation in
tumor growth models for glioblastomas, a form of aggressive primary brain tumor. The …

We propose a fully-corrective generalized conditional gradient method (FC-GCG) for the
minimization of the sum of a smooth, convex loss function and a convex one-homogeneous …

The objective of this work is to quantify the reconstruction error in sparse inverse problems
with measures and stochastic noise, motivated by optimal sensor placement. To be useful in …

We consider the problem of identifying a sparse initial source condition to achieve a given
state distribution of a diffusion–advection partial differential equation after a given final time …

A class of generalized conditional gradient algorithms for the solution of optimization
problem in spaces of Radon measures is presented. The method iteratively inserts …

This article extends the semidiscrete maximal-regularity results in Li (2019, Analyticity,
maximal regularity and maximum-norm stability of semi-discrete finite element solutions of …

We consider optimization problems in the fractional order Sobolev spaces $ H^ s (\Omega)
$, $ s\in (0, 1) $, with sparsity promoting objective functionals containing $ L^ p …

In this work we consider the two dimensional instationary Navier–Stokes equations with
homogeneous Dirichlet/no-slip boundary conditions. We show error estimates for the fully …