2 papers
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.NA2023
Numerical solution of the Biot/elasticity interface problem using virtual element methods
Sarvesh Kumar, David Mora, Ricardo Ruiz-Baier +1
We propose, analyze and implement a virtual element discretization for an interfacial poroelasticity-elasticity consolidation problem. The formulation of the time-dependent poroela…