Virtual element discretization method to optimal control problem governed by Stokes equations with pointwise control constraint on arbitrary polygonal meshes

Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical methods in optimal control (49Mxx) Incompressible viscous fluids (76Dxx)

Cites Work

\texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
Optimal control of the Stokes equations: conforming and non-conforming finite element methods under reduced regularity
A variational discretization concept in control constrained optimization: The linear-quadratic case
Adaptive virtual element method for optimal control problem governed by general elliptic equation
A spectral Galerkin approximation of optimal control problem governed by fractional advection-diffusion-reaction equations
A nonconforming virtual element method for the Stokes problem on general meshes
A divergence free weak virtual element method for the Stokes problem on polytopal meshes
Recovery type superconvergence and a posteriori error estimates for control problems governed by Stokes equations
A priori and a posteriori error analysis for virtual element discretization of elliptic optimal control problem
Virtual Element Method for general second-order elliptic problems on polygonal meshes
Finite Element Analysis of Optimal Control Problem Governed by Stokes Equations with L<sup>2</sup>-Norm State-Constraints
Divergence free virtual elements for the stokes problem on polygonal meshes
A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations
Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept
Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
Mixed Finite Element Methods and Applications
An Adaptive FEM for the Pointwise Tracking Optimal Control Problem of the Stokes Equations
The Divergence-Free Nonconforming Virtual Element for the Stokes Problem
A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
Primal–dual active set method for control constrained optimal control of the Stokes equations
The NonConforming Virtual Element Method for the Stokes Equations

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