Linear feedback control and approximation for a system governed by unsteady MHD equations

DOI10.1016/j.cma.2008.09.002zbMath1228.76194OpenAlexW2015400280MaRDI QIDQ653642

S. S. Ravindran

Publication date: 19 December 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.09.002

zbMATH Keywords

optimal controldynamicsfinite elementfeedback controldiscretizationsMHD systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (10)

Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics ⋮ Nanofluid flow and heat transfer between parallel plates considering Brownian motion using DTM ⋮ On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics ⋮ A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations ⋮ Iterative methods in penalty finite element discretization for the steady MHD equations ⋮ Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method ⋮ The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank-Nicolson scheme and the method of lines (MOL) ⋮ Optimal error estimates of penalty based iterative methods for steady incompressible magnetohydrodynamics equations with different viscosities ⋮ Stability and convergence of two-level iterative methods for the stationary incompressible magnetohydrodynamics with different Reynolds numbers ⋮ Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations

Cites Work

• An analysis of a mixed finite element method for the Navier-Stokes equations
• Computations of boundary optimal control problems for an electrically conducting fluid
• Some mathematical questions related to the mhd equations
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• A Penalized Neumann Control Approach for Solving an Optimal Dirichlet Control Problem for the Navier--Stokes Equations
• Numerical Approximation of Optimal Flow Control Problems by a Penalty Method: Error Estimates and Numerical Results
• Perspectives in Flow Control and Optimization
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