Approximation of the controls for the beam equation with vanishing viscosity
DOI10.1090/mcom/3064zbMath1338.93071OpenAlexW2042126572MaRDI QIDQ2814440
Ioan Florin Bugariu, Ionel Rovenţa, Sorin Micu
Publication date: 22 June 2016
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/8b510105c7d39c5518d5d2d2770a791d598abb68
vanishing viscositybeam equationhinged boundary conditionscontrol approximationfinite difference semi-discrete numerical schememoment problem biorthogonalnull-controllability in finite time
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Controllability (93B05) Moment problems and interpolation problems in the complex plane (30E05) Finite difference methods for boundary value problems involving PDEs (65N06) Hyperbolic equations on manifolds (58J45) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (14)
Cites Work
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- Resolvent conditions for the control of unitary groups and their approximations
- A systematic method for building smooth controls for smooth data
- Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes
- Efficient polynomial reduction
- Uniformly exponentially stable approximations for a class of damped systems
- Bounds on functions biorthogonal to sets of complex exponentials. Control of damped elastic systems
- Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation
- Completeness of sets of complex exponentials
- Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire. (Lacunary series and semi-internal control of vibrations of a rectangular plate)
- On exact and approximate boundary controllabilities for the heat equation: A numerical approach
- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
- Uniform boundary controllability of a semi-discrete 1-D wave equation
- The ``window problem for series of complex exponentials
- Exact controllability theorems for linear parabolic equations in one space dimension
- Some trigonometrical inequalities with applications to the theory of series
- A Numerical Method for the Controls of the Heat Equation
- Spectral conditions for admissibility and observability of Schrödinger systems: Applications to finite element discretizations
- A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
- Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation
- Uniform stabilization of a viscous numerical approximation for a locally damped wave equation
- Uniform Boundary Controllability of a Semidiscrete 1-D Wave Equation with Vanishing Viscosity
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Boundary controllability of the finite-difference space semi-discretizations of the beam equation
- Fourier Series in Control Theory
- A Note on Fourier Transforms
- Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
- Uniformly exponentially stable approximations for a class of second order evolution equations
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