A Numerical Method of Local Energy Decay for the Boundary Controllability of Time-Reversible Distributed Parameter Systems

DOI10.1111/j.1467-9590.2008.00406.xzbMath1190.65087OpenAlexW2043649842MaRDI QIDQ3560184

Francisco Periago, J. F. Villena, Pablo Pedregal

Publication date: 19 May 2010

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2008.00406.x

zbMATH Keywords

algorithmconvergencewave equationCauchy problemnumerical examplesKlein-Gordon equationlinearplate equationtime-reversibleboundary controlsEuler-Bernoulli equationssecond-order evolution systems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear differential equations in abstract spaces (34G10) Abstract hyperbolic equations (35L90) Numerical solutions to abstract evolution equations (65J08)

Related Items (7)

Numerical Control of a Semilinear Wave Equation on an Interval ⋮ Spacetime finite element methods for control problems subject to the wave equation ⋮ Control of partial differential equations via physics-informed neural networks ⋮ A mixed formulation for the direct approximation of the control of minimal \(L^2\)-norm for linear type wave equations ⋮ On exact boundary controllability for linearly coupled wave equations ⋮ Numerical simulation of the boundary exact control for the system of linear elasticity ⋮ Energy decay for the linear Klein-Gordon equation and boundary control

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• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods

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