Stabilized subgrid multiscale finite element formulation for advection-diffusion-reaction equation with variable coefficients coupled with Stokes-Darcy equation
Analysis of PDEs
2019-07-24 v1
Abstract
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 advection velocity involved in ADR equation obeys Stokes-Darcy flow equation. In this study the approach of algebraic approximation of stabilization parameter has been considered. Further apriori error estimation has been elaborately carried out.
Cite
@article{arxiv.1907.09752,
title = {Stabilized subgrid multiscale finite element formulation for advection-diffusion-reaction equation with variable coefficients coupled with Stokes-Darcy equation},
author = {Manisha Chowdhury and B. V. Rathish Kumar},
journal= {arXiv preprint arXiv:1907.09752},
year = {2019}
}