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Artículo
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 ...
Artículo
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
(Elsevier, 2021-11)
The kinetic energy of a flow is proportional to the square of the L2(Ω) norm of the velocity. Given a sufficient regular velocity field and a velocity finite element space with polynomials of degree r , then the best ...