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Article
Enhancing nonlinear solvers for the Navier–Stokes equations with continuous (noisy) data assimilation
(Elsevier, 2024-05)
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 solution is available. The measurement data ...
Article
Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization
(Oxford University Press, 2019-10)
This paper studies non inf-sup stable finite element approximations to the evolutionary Navier–Stokes equations. Several local projection stabilization (LPS) methods corresponding to different stabilization terms are ...