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math.NA2023
Uniform boundary observability for the spectral collocation of the linear elasticity system
Somia Boumimez, Carlos Castro
A well-known boundary observability inequality for the elasticity system establishes that the energy of the system can be estimated from the solution on a sufficiently large part o…
math.NA2023
Numerical approximation of the boundary control for the wave equation with a spectral collocation method
Somia Boumimez, Carlos Castro
We propose a spectral collocation method to approximate the exact boundary control of the wave equation in a square domain. The idea is to introduce a suitable approximate control…