4 papers
A higher order pressure-stabilized virtual element formulation for the Stokes-Poisson-Boltzmann equations
Sudheer Mishra, Sundararajan Natarajan, E. Natarajan +1
Electrokinetic phenomena in nanopore sensors and microfluidic devices require accurate simulation of coupled fluid-electrostatic interactions in geometrically complex domains with…
A stabilized virtual element framework for the steady state Boussinesq equation with temperature-dependent parameters
Sudheer Mishra, Sundararajan Natarajan, Natarajan E
This work presents a new conforming stabilized virtual element method for the generalized Boussinesq equation with temperature-dependent viscosity and thermal conductivity. A gradi…
A unified stabilized virtual element method for the generalized Oseen equation: stability and robustness
Sudheer Mishra, E Natarajan
In this thesis, we investigate a novel local projection based stabilized conforming virtual element method for the generalized Oseen problem using equal-order element pairs on gene…
An equal-order virtual element framework for the coupled Stokes-Temperature equation with nonlinear viscosity
Sudheer Mishra, Natarajan E
In this work, we present and analyze a novel stabilized virtual element formulation for the coupled Stokes-Temperature equation on polygonal meshes, employing equal-order element p…