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Optimal control of a kinetic equation
This work addresses an optimal control problem constrained by a degenerate kinetic
equation of parabolic-hyperbolic type. Using a hypocoercivity framework we establish the …
equation of parabolic-hyperbolic type. Using a hypocoercivity framework we establish the …
A posteriori error estimates for an optimal control problem with a bilinear state equation
We propose and analyze a posteriori error estimators for an optimal control problem that
involves an elliptic partial differential equation as state equation and a control variable that …
involves an elliptic partial differential equation as state equation and a control variable that …
An adaptive finite element method for the sparse optimal control of fractional diffusion
We propose and analyze an a posteriori error estimator for a partial differential equation
(PDE)‐constrained optimization problem involving a nondifferentiable cost functional …
(PDE)‐constrained optimization problem involving a nondifferentiable cost functional …
Adaptive Finite Element Approximation of Sparse Optimal Control Problem with Integral Fractional Laplacian
F Wang, Q Wang, Z Zhou - Journal of Scientific Computing, 2025 - Springer
In this paper, we present and analyze a weighted residual a posteriori error estimate for a
sparse optimal control problem. The problem involves a non-differentiable cost functional, a …
sparse optimal control problem. The problem involves a non-differentiable cost functional, a …
Fractional, semilinear, and sparse optimal control: a priori error bounds
In this work, we use the integral definition of the fractional Laplace operator and study a
sparse optimal control problem involving a fractional, semilinear, and elliptic partial …
sparse optimal control problem involving a fractional, semilinear, and elliptic partial …
Deep Uzawa for PDE constrained optimisation
In this work, we present a numerical solver for optimal control problems constrained by
linear and semi-linear second-order elliptic PDEs. The approach is based on recasting the …
linear and semi-linear second-order elliptic PDEs. The approach is based on recasting the …
A path-following inexact Newton method for PDE-constrained optimal control in BV
D Hafemeyer, F Mannel - Computational Optimization and Applications, 2022 - Springer
We study a PDE-constrained optimal control problem that involves functions of bounded
variation as controls and includes the TV seminorm of the control in the objective. We apply …
variation as controls and includes the TV seminorm of the control in the objective. We apply …
Adaptive finite element approximation of sparse optimal control with integral fractional Laplacian
F Wang, Q Wang, Z Zhou - arxiv preprint arxiv:2309.08130, 2023 - arxiv.org
In this paper we present and analyze a weighted residual a posteriori error estimate for an
optimal control problem. The problem involves a nondifferentiable cost functional, a state …
optimal control problem. The problem involves a nondifferentiable cost functional, a state …
A posteriori error estimates for semilinear optimal control problems
In two and three dimensional Lipschitz, but not necessarily convex, polytopal domains, we
devise and analyze a reliable and efficient a posteriori error estimator for a semilinear …
devise and analyze a reliable and efficient a posteriori error estimator for a semilinear …
Deep Uzawa for Pde Constrained Optimisation
In this work, we present a numerical solver for optimal control problems constrained by
linear and semi-linear second-order elliptic PDEs. The approach is based on recasting the …
linear and semi-linear second-order elliptic PDEs. The approach is based on recasting the …