Global stabilization of BBM-Burgers' type equations by nonlinear boundary feedback control laws: theory and finite element error analysis

DOI10.1007/s10915-019-01039-5zbMath1428.35103arXiv1812.02084OpenAlexW2969755398MaRDI QIDQ2333725

Sudeep Kundu, Amiya K. Pani

Publication date: 13 November 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02084

zbMATH Keywords

finite element methodnumerical experimentsoptimal error estimatesNeumann boundary feedback control

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic stability in control theory (93D20) 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) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (3)

Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin-Bona-Mahony-Burgers' equation ⋮ Numerical and theoretical discussions for solving nonlinear generalized Benjamin–Bona–Mahony–Burgers equation based on the Legendre spectral element method ⋮ Global stabilization of two dimensional viscous Burgers' equation by nonlinear Neumann boundary feedback control and its finite element analysis

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