Using a truncated Carleman-weighted extremal problem and Uzawa-type augmented Lagrangian iterations, the paper computes numerical null controls for 2D/3D heat equations and 2D Stokes flow with reported terminal states near machine precision in 2D.
Fern´ andez-Cara and A
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Numerical null controllability of parabolic PDEs using Lagrangian methods
Using a truncated Carleman-weighted extremal problem and Uzawa-type augmented Lagrangian iterations, the paper computes numerical null controls for 2D/3D heat equations and 2D Stokes flow with reported terminal states near machine precision in 2D.