An inverse inequality for Timoshenko system and some properties related to the finite-difference space semidiscretization

DOI10.1007/S12215-021-00598-7zbMath1490.35224OpenAlexW3135175793MaRDI QIDQ2120270

Yanyan Li

Publication date: 31 March 2022

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-021-00598-7

zbMATH Keywords

observability inequalitylocking phenomenonlack of numerical observabilityspatial finite differenceTimoshenko equations

Mathematics Subject Classification ID

Observability (93B07) Theoretical approximation in context of PDEs (35A35) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

• Unnamed Item
• A smoothing property of a hyperbolic system and boundary controllability
• Observability inequality for the finite-difference semi-discretization of the 1-d coupled wave equations
• Conservative semidiscrete difference schemes for Timoshenko systems
• Sharp observability estimates for a system of two coupled nonconservative hyperbolic equations
• Some trigonometrical inequalities with applications to the theory of series
• A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
• Boundary observability for the space semi-discretizations of the 1 – d wave equation

This page was built for publication: An inverse inequality for Timoshenko system and some properties related to the finite-difference space semidiscretization