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Error estimates for optimal control problems involving the Stokes system and Dirac measures
The aim of this work is to derive a priori error estimates for finite element discretizations of
control–constrained optimal control problems that involve the Stokes system and Dirac …
control–constrained optimal control problems that involve the Stokes system and Dirac …
Adaptive virtual element method for optimal control problem governed by Stokes equations
Y Li, Q Wang, Z Zhou - Journal of Scientific Computing, 2023 - Springer
In this paper, adaptive virtual element method (VEM) approximation of optimal control
problem governed by Stokes equations with control constraints is discussed. The virtual …
problem governed by Stokes equations with control constraints is discussed. The virtual …
Virtual element discretization method to optimal control problem governed by Stokes equations with pointwise control constraint on arbitrary polygonal meshes
Y Li, H Liu, Z Zhou - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this paper we investigate virtual element discretization of optimal control problem
governed by Stokes equations. Based on the strategy of first-discretize-then-optimize we …
governed by Stokes equations. Based on the strategy of first-discretize-then-optimize we …
Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation
We consider a pointwise tracking optimal control problem for a semilinear elliptic partial
differential equation. We derive the existence of optimal solutions and analyze first and …
differential equation. We derive the existence of optimal solutions and analyze first and …
A pointwise tracking optimal control problem for the stationary Navier--Stokes equations
We study a pointwise tracking optimal control problem for the stationary Navier--Stokes
equations; control constraints are also considered. The problem entails the minimization of a …
equations; control constraints are also considered. The problem entails the minimization of a …
Analysis of an HDG method for the Navier–Stokes equations with Dirac measures
H Leng - ESAIM: Mathematical Modelling and Numerical …, 2023 - esaim-m2an.org
In two dimensions, we analyze a hybridized discontinuous Galerkin (HDG) method for the
Navier–Stokes equations with Dirac measures. The approximate velocity field obtained by …
Navier–Stokes equations with Dirac measures. The approximate velocity field obtained by …
A finite element scheme for an optimal control problem on steady Navier-Stokes-Brinkman equations
JA Araneda, JY Merten - arxiv preprint arxiv:2502.09336, 2025 - arxiv.org
This paper presents a rigorous finite element framework for solving an optimal control
problem governed by the steady Navier-Stokes-Brinkman equations, focusing on identifying …
problem governed by the steady Navier-Stokes-Brinkman equations, focusing on identifying …
A posteriori error estimates in W1, p× Lp spaces for the Stokes system with Dirac measures
We design and analyze a posteriori error estimators for the Stokes system with singular
sources in suitable W 1, p× L p spaces. We consider classical low-order inf-sup stable and …
sources in suitable W 1, p× L p spaces. We consider classical low-order inf-sup stable and …
Error Estimates of EDG-HDG Methods for the Stokes Equations with Dirac Measures
H Leng - Journal of Scientific Computing, 2023 - Springer
In this paper, we analyze the hybridized, embedded-hybridized and embedded
discontinuous Galerkin methods for the Stokes equations with Dirac measures. The velocity …
discontinuous Galerkin methods for the Stokes equations with Dirac measures. The velocity …
[PDF][PDF] Finite element error estimation for parabolic optimal control problems with pointwise observations
In this paper, we consider parabolic distributed control problems with cost functional of
pointwise observation type either in space or in time. First, we show the well-posedness of …
pointwise observation type either in space or in time. First, we show the well-posedness of …