Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes

DOI10.1007/s00211-009-0235-5zbMath1170.93013OpenAlexW2068483354MaRDI QIDQ841123

Sylvain Ervedoza

Publication date: 14 September 2009

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0235-5

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Observability (93B07) Wave equation (35L05) Control/observation systems in abstract spaces (93C25) Numerical solutions to equations with linear operators (65J10) Abstract hyperbolic equations (35L90)

Related Items

Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes, Approximation of the controls for the linear beam equation, Approximation of periodic solutions for a dissipative hyperbolic equation, Boundary Controllability for Finite-Differences Semidiscretizations of a Clamped Beam Equation, Propagation of 1D waves in regular discrete heterogeneous media: a Wigner measure approach, An application of moment method to uniform boundary controllability property of a semidiscrete 1-d wave equation with a lower rate vanishing viscosity, Resolvent conditions for the control of unitary groups and their approximations, IMPROVING CONVERGENCE IN NUMERICAL ANALYSIS USING OBSERVERS — THE WAVE-LIKE EQUATION CASE, Nonlinear damped partial differential equations and their uniform discretizations, Resolvent conditions for the control of parabolic equations, Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation using a finite-difference method, Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method, Approximation of the controls for the beam equation with vanishing viscosity, Approximation of the controls for the wave equation with a potential, Data assimilation of time under-sampled measurements using observers, the wave-like equation example, Transmutation techniques and observability for time-discrete approximation schemes of conservative systems

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