4 papers · 1 filter
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…
- Partially null controllability of abstract fractional differential inclusion with nonlocal condition
Bholanath Kumbhakar, Deeksha, Dwijendra Narain Pandey
In this work, we investigate the - partial null controllability of the abstract semilinear fractional-order differential inclusion with nonlocal conditions. The set of admissi…
Existence of Solutions of Nonconvex Multivalued Navier Stokes Equations
Bholanath Kumbhakar, Dwijendra Narain Pandey
In this paper, we discuss the existence of local strong solutions for the multivalued version of three-dimensional nonstationary Navier-Stokes equation in Banach spaces. Also, we c…
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…