2 papers
math.NA2024
Analysis of continuous data assimilation with large (or even infinite) nudging parameters
Amanda Diegel, Xuejian Li, Leo G. Rebholz
This paper considers continuous data assimilation (CDA) in partial differential equation (PDE) discretizations where nudging parameters can be taken arbitrarily large. We prove tha…
math.NA2024
Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation
Bosco Garcia-Archilla, Xuejian Li, Julia Novo +1
We consider nonlinear solvers for the incompressible, steady (or at a fixed time step for unsteady) Navier-Stokes equations in the setting where partial measurement data of the sol…