The effect of a sparse Grad-div stabilization on control of stationary Navier-Stokes equations

DOI10.1016/j.jmaa.2016.01.019zbMath1391.49054OpenAlexW2292639817MaRDI QIDQ5962576

Aytekin Çıbık

Publication date: 12 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.01.019

zbMATH Keywords

optimal controlfinite element methoda priori error analysisGrad-div stabilizationNavier-Stokes

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)

Related Items (5)

Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization ⋮ A sparse grad-div stabilized algorithm for the incompressible magnetohydrodynamics equations ⋮ A parallel grad-div stabilized finite element algorithm for the Stokes equations with damping ⋮ The new semianalytical technique for the solution of fractional-order Navier-Stokes equation ⋮ A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations

Uses Software

• FreeFem++

Cites Work

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• New development in freefem++
• A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier--Stokes System Subject to Control Constraints
• A globalization strategy for the multigrid solution of elliptic optimal control problems
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