Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations
DOI10.1007/s00211-020-01132-0zbMath1446.49003arXiv1906.06679OpenAlexW3039935530MaRDI QIDQ2194041
Cung The Anh, Tran Minh Nguyet
Publication date: 25 August 2020
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.06679
optimal controlerror estimatesdiscontinuous Galerkin methodnumerical approximation3D Navier-Stokes-Voigt equations
Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(L^{q}\)-theory of the Kelvin-Voigt equations in bounded domains
- Upper bound of decay rate for solutions to the Navier-Stokes-Voigt equations in \(\mathbb{R}^3\)
- Decay rate of solutions to 3D Navier-Stokes-Voigt equations in \(H^m\) spaces
- Averaging of a 3D Navier-Stokes-Voight equation with singularly oscillating forces
- Analysis of a general family of regularized Navier-Stokes and MHD models
- Attractors for autonomous and nonautonomous 3D Navier-Stokes-Voight equations
- Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
- Singular limits of Voigt models in fluid dynamics
- On some control problems in fluid mechanics
- Global attractors and determining modes for the 3D Navier-Stokes-Voight equations
- Compact sets in the space \(L^ p(0,T;B)\)
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations
- Error estimates for the discretization of the velocity tracking problem
- Time optimal control of the unsteady 3D Navier-Stokes-Voigt equations
- Decay characterization of solutions to Navier-Stokes-Voigt equations in terms of the initial datum
- Pull-back attractors for three-dimensional Navier—Stokes—Voigt equations in some unbounded domains
- The Navier-Stokes-Voight model for image inpainting
- Pullback attractors for three-dimensional non-autonomous Navier–Stokes–Voigt equations
- Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations
- Optimal Control of the Instationary Three Dimensional Navier-Stokes-Voigt Equations
- Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
- Analysis of the Velocity Tracking Control Problem for the 3D Evolutionary Navier--Stokes Equations
- Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
- Finite Element Methods for Navier-Stokes Equations
- The Velocity Tracking Problem for Navier--Stokes Flows With Boundary Control
- Analysis and Approximation of the Velocity Tracking Problem for Navier--Stokes Flows with Distributed Control
- Second Order Methods for Optimal Control of Time-Dependent Fluid Flow
- Error estimates for the approximation of the velocity tracking problem with Bang-Bang controls
- Perspectives in Flow Control and Optimization
- A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem
This page was built for publication: Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations
