4 papers · 1 filter
Subgrid multiscale stabilized finite element analysis of fully-coupled unified Stokes-Darcy-Brinkman/Transport model
B. V. Rathish Kumar, Manisha Chowdhury
In this study, a stabilized finite element analysis of unified Stokes-Darcy-Brinkman system fully coupled with variable coefficient Advection-Diffusion-Reaction equation(VADR) has…
Stabilized subgrid multiscale finite element formulation for advection-diffusion-reaction equation with variable coefficients coupled with Stokes-Darcy equation
Manisha Chowdhury, B. V. Rathish Kumar
In this paper subgrid multiscale stabilized finite element method for Advection-Diffusion-Reaction (ADR) equation coupled with Stokes-Darcy flow problem has been studied. Here the…
Finite element apriori error estimate for a class of Cardiac Electric models
Meena Pargaei, B. V. Rathish Kumar
In this study we derive the Finite element apriori error estimate for the monodomain cardiac electric model in conjunction with the generic form for a class of nonlinear ionic mode…
On the existence-uniqueness and computation of solution of a coupled PDE-ODE system with application to cardiac electric activity
Meena Pargaei, B. V. Rathish Kumar
In this study, we consider a system of degenerate reaction-diffusion equations, which govern the electric activity in the heart with a diffusion term modeling the potential in the…