Finite element approximation of Dirichlet control using boundary penalty method for unsteady Navier–Stokes equations

DOI10.1051/m2an/2016040zbMath1457.65133OpenAlexW2529690472MaRDI QIDQ5280336

S. S. Ravindran

Publication date: 20 July 2017

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2016040

zbMATH Keywords

Navier-Stokes equationsoptimal error estimatesadjoint equationsDirichlet boundary controlboundary penalty methodmixed Galerkin finite element

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25) Flow control and optimization for incompressible viscous fluids (76D55) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Error estimates for finite element approximation of Dirichlet boundary control for Stokes equations in \(\mathbf{L}^2(\Gamma)\) ⋮ Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization ⋮ A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs II: Low Regularity ⋮ Analysis and Approximations of Dirichlet Boundary Control of Stokes Flows in the Energy Space ⋮ Penalization of Dirichlet Boundary Control for Nonstationary Magneto-Hydrodynamics ⋮ A superconvergent hybridizable discontinuous Galerkin method for Dirichlet boundary control of elliptic PDEs ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

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