Optimal control for the Navier-Stokes equation with time delay in the convection: analysis and finite element approximations
type: Item
instance of: scholarly article
title: Optimal control for the Navier-Stokes equation with time delay in the convection: analysis and finite element approximations
zbMATH Open document ID: 1465.49005
author: John Sebastian Simon
author: Gilbert R. Peralta
published in: Journal of Mathematical Fluid Mechanics
publication date: 2021-06-01T00:00:00Z
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76M10
zbMATH DE Number: 7353351
zbMATH Keywords: delayed Navier-Stokes equation
zbMATH Keywords: distributed control
zbMATH Keywords: optimality conditions
zbMATH Keywords: finite elements
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: error estimates
MaRDI profile type: Publication
full work available at URL: s00021-021-00577-z
OpenAlex ID: W3159953732
Wikidata QID: Q114232067
cites work: On some control problems in fluid mechanics
cites work: Q4073917
cites work: A stable finite element for the Stokes equations
cites work: Analysis of the Barzilai-Borwein step-sizes for problems in Hilbert spaces
cites work: Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
cites work: Two-Point Step Size Gradient Methods
cites work: On 3D Navier-Stokes equations: regularization and uniqueness by delays
cites work: Mixed Finite Element Methods and Applications
cites work: Navier-Stokes equations with delays
cites work: Q4882077
cites work: A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem
cites work: Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
cites work: Analysis and finite element error estimates for the velocity tracking problem for Stokes flowsviaa penalized formulation
cites work: Error Estimates for the Velocity Tracking Problem for Navier–Stokes Flows Based on the Artificial Compressibility Formulation
cites work: Error estimates for time-discretizations for the velocity tracking problem for Navier-Stokes flows by penalty methods
cites work: Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations
cites work: Q4162607
cites work: Q4040820
cites work: Projected Barzilai-Borwein methods for large-scale box-constrained quadratic programming
cites work: Q4460255
cites work: Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations
cites work: Q3254057
cites work: Theory and practice of finite elements.
cites work: Navier-Stokes equations and turbulence
cites work: Q3937706
cites work: CONTROL PROBLEMS AND THEOREMS CONCERNING THE UNIQUE SOLVABILITY OF A MIXED BOUNDARY VALUE PROBLEM FOR THE THREE-DIMENSIONAL NAVIER-STOKES AND EULER EQUATIONS
cites work: PROPERTIES OF SOLUTIONS OF SOME EXTREMAL PROBLEMS CONNECTED WITH THE NAVIER-STOKES SYSTEM
cites work: Existence and uniqueness of weak solutions to stochastic 3D Navier-Stokes equations with delays
cites work: On a class of three dimensional Navier-Stokes equations with bounded delay
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls
cites work: Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
cites work: Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
cites work: Convergence and stability of finite element nonlinear Galerkin method for the Navier-Stokes equations
cites work: Nonlinear Galerkin method and two-step method for the Navier-Stokes equations
cites work: Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
cites work: Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
cites work: Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
cites work: A regularity result for the Stokes problem in a convex polygon
cites work: Q5601627
cites work: Asymptotic behavior of solutions of time-delayed Burgers' equation
cites work: Q4240331
cites work: Analysis and finite element discretization for optimal control of a linear fluid–structure interaction problem with delay
cites work: Q3521017
cites work: Nonlinear partial differential equations with applications
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
cites work: Q4127946
cites work: Q3861771
cites work: Q3558349
cites work: Time delay and finite differences for the non-stationary non-linear Navier-Stokes equations
cites work: Q4694676
cites work: Q3116352
cites work: Q3706042
DOI: 10.1007/S00021-021-00577-Z