5 papers
Stability estimates for systems of nonlocal balance laws with memory
Aekta Aggarwal, N. K. Aswini, Sarvesh Kumar +1
In this work, we investigate entropy solutions for a class of systems of nonlocal {balance laws in which the convective flux and the source involves terms where the state variable…
Convergence Analysis of Virtual Element Methods for the Sobolev Equation with Convection
Ankit Kumar, Sarvesh Kumar, Sangita Yadav
We explore the potential applications of virtual elements for solving the Sobolev equation with a convective term. A conforming virtual element method is employed for spatial discr…
Convergence analysis of a nonconforming virtual element method for compressible miscible displacement problems in porous media
Sarvesh Kumar, Devika Shylaja
This article presents a priori error estimates of the miscible displacement of one compressible fluid by another in a porous medium. The study utilizes the conforming…
Nonconforming virtual element method for an incompressible miscible displacement problem in porous media
Sarvesh Kumar, Devika Shylaja
This article presents a priori error estimates of the miscible displacement of one incompressible fluid by another through a porous medium characterized by a coupled system of nonl…
Morley Type Virtual Element Method for Von Kármán Equations
Devika Shylaja, Sarvesh Kumar
This paper analyses the nonconforming Morley type virtual element method to approximate a regular solution to the von Kármán equations that describes bending of very thin elastic p…