5 papers
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…
Nitsche method for the Stokes-Poisson-Boltzmann equation with Navier slip boundary condition
Ayush Agrawal, Aparna Bansal, D. N. Pandey
We study the Stokes--Poisson--Boltzmann equations with Dirichlet and Navier boundary conditions. The system consists of the incompressible Stokes equations coupled with a nonlinear…
Nitsche's method for the stationary Boussinesq system under mixed and nonlinear boundary conditions
Aparna Bansal, Nicolás A. Barnafi, Gianmarco Sperone +1
In this paper we analyze Nitsche's method for the stationary Boussinesq system with Navier's slip and a nonlinear boundary condition. Our analysis of the formulation establishes th…
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…
A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems
Aparna Bansal, Nicolás A. Barnafi, Dwijendra Narain Pandey +1
We propose a model for the coupling between free fluid and a linearized poro-hyperelastic body. In this model, the Brinkman equation is employed for fluid flow in the porous medium…