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math.NA2025
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…
math.NA2024
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…