8 papers
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…
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…
Approximate Controllability of Fractional Hemivariational Inequalities in Banach Spaces
Bholanath Kumbhakar, Deeksha, Dwijendra Narain Pandey
In this paper, we derive the approximate controllability of fractional evolution hemivariational inequalities in reflexive Banach spaces involving Caputo fractional derivatives. We…
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…