Error estimates for the discretization of the velocity tracking problem
From MaRDI portal
Publication:2353375
DOI10.1007/s00211-014-0680-7zbMath1426.76232OpenAlexW2062820696MaRDI QIDQ2353375
Konstantinos Chrysafinos, Eduardo Casas
Publication date: 9 July 2015
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10902/9356
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Variational methods applied to problems in fluid mechanics (76M30) Boundary element methods applied to problems in fluid mechanics (76M15) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (7)
A Review of Numerical Analysis for the Discretization of the Velocity Tracking Problem ⋮ Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations ⋮ Analysis and approximations of an optimal control problem for the Allen-Cahn equation ⋮ Discontinuous Galerkin approximations for an optimal control problem of three-dimensional Navier-Stokes-Voigt equations ⋮ Water artificial circulation for eutrophication control ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system ⋮ Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems
- A general theorem on error estimates with application to a quasilinear elliptic optimal control problem
- On some control problems in fluid mechanics
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Error estimates for parabolic optimal control problems with control constraints
- Semidiscretization and error estimates for distributed control of the instationary Navier-Stokes equations
- Flow control. Based on the proceedings of a workshop that was an integral part of the 1992-93 IMA program on control theory, University of Minnesota, Minneapolis, MN, USA
- Maximal \(L^p\)-\(L^ q\)-estimates for the Stokes equation: a short proof of Solonnikov's theorem
- Analysis and finite element approximations for distributed optimal control problems for implicit parabolic equations
- Crank--Nicolson Schemes for Optimal Control Problems with Evolution Equations
- A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems
- Discontinuous Galerkin approximations of the Stokes and Navier-Stokes equations
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
- Error Estimates for the Numerical Approximation of a Distributed Control Problem for the Steady-State Navier–Stokes Equations
- Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's
- Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
- Finite Element Methods for Navier-Stokes Equations
- The discontinuous Galerkin method for semilinear parabolic problems
- 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
- Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints
- Superconvergence Properties of Optimal Control Problems
- Optimal Control Problems with Partially Polyhedric Constraints
- The Velocity Tracking Problem for Navier--Stokes Flows with Bounded Distributed Controls
- Perspectives in Flow Control and Optimization
- Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem
- Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
This page was built for publication: Error estimates for the discretization of the velocity tracking problem
