Numerical approximation of the boundary control for the wave equation in a square domain with a spectral collocation method

DOI10.1007/S40314-023-02581-7arXiv2304.06986MaRDI QIDQ6125423

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Publication date: 11 April 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.06986

zbMATH Keywords

controllabilitywave equationnumerical approximationspectral collocation method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Controllability (93B05) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Discrete approximations in optimal control (49M25)

Cites Work

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• On the eigenvalues of second-order spectral differentiation operators
• Numerical solution of linear elastic problems by spectral collocation methods
• On the eigenvalues of the spectral second order differentiation operator and application to the boundary observability of the wave equation
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
• The Eigenvalues of Second-Order Spectral Differentiation Matrices
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Boundary observability for the space semi-discretizations of the 1 – d wave equation
• Space time stabilized finite element methods for a unique continuation problem subject to the wave equation
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
• Exact and Approximate Controllability for Distributed Parameter Systems
• Numerical controllability of the wave equation through primal methods and Carleman estimates
• Numerical approximation of the boundary control for the wave equation with mixed finite elements in a square
• Spacetime finite element methods for control problems subject to the wave equation

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