Uniform boundary observability of Finite Difference approximations of non-compactly coupled piezoelectric beam equations

DOI10.1080/00036811.2021.1936508zbMath1490.93020OpenAlexW3170835186WikidataQ114101877 ScholiaQ114101877MaRDI QIDQ5072130

Wilson Horner, Ahmet Özkan Özer

Publication date: 25 April 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1936508

zbMATH Keywords

finite differencesuniform boundary observabilitydirect filteringpiezoelectric beamsnon-compact couplingnon-identical wave speeds

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Multivariable systems, multidimensional control systems (93C35) Electromagnetic effects in solid mechanics (74F15) Observability (93B07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with mechanics of particles and systems of particles (35Q70) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (4)

Exponential stability for a piezoelectric beam with a magnetic effect and past history ⋮ Long time dynamics and upper semi-continuity of attractors for piezoelectric beams with nonlinear boundary feedback ⋮ Existence and robustness results of attractors for partially-damped piezoelectric beams ⋮ Stability Results for Novel Serially-Connected Magnetizable Piezoelectric and Elastic Smart-System Designs

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