9 citations · 16 across the 9 of their papers we have counts for
4 papers · 1 filter
Simple and efficient continuous data assimilation of evolution equations via algebraic nudging
Leo G. Rebholz, Camille Zerfas
We introduce, analyze and test a new interpolation operator for use with continuous data assimilation (DA) of evolution equations that are discretized spatially with the finite ele…
Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations
Adam Larios, Yuan Pei, Leo Rebholz
The velocity-vorticity formulation of the 3D Navier-Stokes equations was recently found to give excellent numerical results for flows with strong rotation. In this work, we propose…
On well-posedness of a velocity-vorticity formulation of the Navier-Stokes equations with no-slip boundary conditions
Maxim A. Olshanskii, Leo G. Rebholz, Abner J. Salgado
We study well-posedness of a velocity-vorticity formulation of the Navier--Stokes equations, supplemented with no-slip velocity boundary conditions, a no-penetration vorticity boun…
Analysis of a Reduced-Order Approximate Deconvolution Model and its interpretation as a Navier-Stokes-Voigt regularization
L. C. Berselli, T. -Y. Kim, L. G. Rebholz
We study mathematical and physical properties of a family of recently introduced, reduced-order approximate deconvolution models. We first show a connection between these models an…