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20182021
most citedApriori and aposteriori error estimation of Subgrid multiscale stabilized finite element method for coupled unified Stokes-Brinkman/Transport model

1 citations · 1 across the 14 of their papers we have counts for

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14 papers

math.NA2021

Myocardial ischemic effects on cardiac electro-mechanical activity

B. V. Rathish Kumar, Meena Pargaei, Luca F. Pavarino +1

In this work, we investigated the effect of varying strength of Hyperkalemia and Hypoxia, in human cardiac tissue with a local ischemic subregion, on the electrical and mechanical…

math.NA2021

Subgrid multiscale stabilized finite element analysis of non-Newtonian Casson model fully coupled with Advection-Diffusion-Reaction equations

B. V. Rathish Kumar, Manisha Chowdhury

In this paper we have studied subgrid multiscale stabilized formulation with dynamic subscales for non-Newtonian Casson fluid flow model tightly coupled with variable coefficients…

math.NA2021

Subgrid multiscale stabilized finite element analysis of non-Newtonian Power-law model fully coupled with Advection-Diffusion-Reaction equations

Manisha Chowdhury, B. V. Rathish Kumar

This article presents stability and convergence analyses of subgrid multiscale stabilized finite element formulation of non-Newtonian power-law fluid flow model strongly coupled wi…

math.AP2020

On the Existence Uniqueness and Numerical Computation of Non-linear Coupled Elliptic PDE System with its application

B. V. Rathish Kumar, Sangita Dey

In this study we prove the existence-uniqueness of a coupled non-linear elliptic PDE system using Lax-Milgram theorem, Galerkin Method, Brouwer's fixed point theorem. Later we deri…

math.NA2020

Apriori and aposteriori error estimation of Subgrid multiscale stabilized finite element method for fully coupled Navier-Stokes Transport model

B. V. Rathish Kumar, Manisha Chowdhury

In this paper a fully coupled system of transient - () fluid flow model and variable coefficient unsteady Advection-Diffusion-Reaction () transport model…

math.NA2020★ 1 cited

Apriori and aposteriori error estimation of Subgrid multiscale stabilized finite element method for coupled unified Stokes-Brinkman/Transport model

Manisha Chowdhury, B. V. Rathish Kumar

In this study, we present a stabilized finite element analysis for completely unified Stokes-Brinkman problems fully coupled with variable coefficient transient Advection-Diffusion…