We investigate the numerical approximation for stabilizing the semidiscrete linearized Boussinesq system around an unstable stationary state.Stabilization is attained through internal feedback controls applied to the ...We investigate the numerical approximation for stabilizing the semidiscrete linearized Boussinesq system around an unstable stationary state.Stabilization is attained through internal feedback controls applied to the velocity and temperature equations,localized within an arbitrary open subset.This study follows the framework presented in[14],considering the continuous linearized Boussinesq system.The primary objective is to explore the penalizationbased approximation of the free divergence condition in the semidiscrete case and provide a numerical validation of these results in a two-dimensional setting.展开更多
基金supported by the French National Research Agency ANR-22-CE46-0005(NumOpTES)supported by the grant"Numerical simulation and optimal control in view of temperature regulation in smart buildings"of the Nouvelle Aquitaine Regionpartially supported by the Project TRECOS ANR-20-CE40-0009 funded by the ANR(2021-2024).
文摘We investigate the numerical approximation for stabilizing the semidiscrete linearized Boussinesq system around an unstable stationary state.Stabilization is attained through internal feedback controls applied to the velocity and temperature equations,localized within an arbitrary open subset.This study follows the framework presented in[14],considering the continuous linearized Boussinesq system.The primary objective is to explore the penalizationbased approximation of the free divergence condition in the semidiscrete case and provide a numerical validation of these results in a two-dimensional setting.
