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math.NA2025
A Nitsche method for Navier--Stokes/generalized poroelasticity interface problems
Aparna Bansal, Nicolas A. Barnafi, Dwijendra Narain Pandey +1
We consider a time-dependent coupled Navier--Stokes/generalized poroelastic flow problem and propose a unified and monolithic finite element discretization based on implicit time s…
math.NA2025
Equal order stabilized finite elements with Nitsche for stationary Navier-Stokes problem with slip boundary conditions : a priori and a posteriori error analysis
Aparna Bansal, Nicolás Barnafi, Rodolfo Araya +1
In this work, we extend the equal-order stabilized scheme discussed in [Franca et al., Comput. Methods Appl. Mech. Engrg. 99 (1992) 209-233] to accommodate slip (i.e., Navier) boun…