Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law

DOI10.1007/s10444-017-9553-9zbMath1448.65165OpenAlexW2747187521MaRDI QIDQ1639321

Amiya K. Pani, Sudeep Kundu

Publication date: 12 June 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9553-9

zbMATH Keywords

finite element methodstabilizationBurgers' equationboundary feedback controloptimal error estimatesuperconvergence results and numerical experiments

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) PDEs in connection with control and optimization (35Q93)

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Global stabilization of two dimensional viscous Burgers' equation by nonlinear Neumann boundary feedback control and its finite element analysis ⋮ A New Semidiscretized Order Reduction Finite Difference Scheme for Uniform Approximation of One-Dimensional Wave Equation ⋮ Moving least squares particle hydrodynamics method for Burgers' equation ⋮ The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation ⋮ Global stabilization of BBM-Burgers' type equations by nonlinear boundary feedback control laws: theory and finite element error analysis ⋮ A dynamic compensator for in-domain control of Burgers' equation

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