A Spectral Numerical Method to Approximate the Boundary Controllability of the Wave Equation with Variable Coefficients

DOI10.1007/978-3-031-14268-0_3MaRDI QIDQ6094965

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Publication date: 15 September 2023

Published in: Research in PDEs and Related Fields (Search for Journal in Brave)

zbMATH Keywords

boundary controlwave equationspectral numerical method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Numerical analysis (65-XX)

Cites Work

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• A systematic method for building smooth controls for smooth data
• Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
• Exact controllability for semilinear wave equations in one space dimension
• Numerical Approximation of Exact Controls for Waves
• Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
• Numerical approximation of the boundary control for the wave equation with mixed finite elements in a square

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