20 citations · 32 across the 7 of their papers we have counts for
8 papers
Virtual element approximations for distributed or Neumann boundary optimal control problems governed by poroelasticity equation
Thirupathi Gudi, David Mora, Nitesh Verma
This paper investigate the conforming virtual element method for the optimal control problem governed by the linear poroelasticity equation. Both distributed control and Neumann bo…
Nitsche stabilized Virtual element approximations for a Brinkman problem with mixed boundary conditions
David Mora, Jesus Vellojin, Nitesh Verma
In this paper, we formulate, analyse and implement the discrete formulation of the Brinkman problem with mixed boundary conditions, including slip boundary condition, using the Nit…
A Conforming virtual element approximation for the Oseen eigenvalue problem
Danilo Amigo, Felipe Lepe, Nitesh Verma
In this paper we analyze a conforming virtual element method to approximate the eigenfunctions and eigenvalues of the two dimensional Oseen eigenvalue problem. We consider the clas…
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…
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem
Rekha Khot, Neela Nataraj, Nitesh Verma
This paper focuses on the analysis of conforming virtual element methods for general second-order linear elliptic problems with rough source terms and applies it to a Poisson inver…
Stability analysis for a new model of multispecies convection-diffusion-reaction in poroelastic tissue
Luis Miguel de Oliveira Vilaca, Bryan Gomez-Vargas, Sarvesh Kumar +2
We perform the linear stability analysis for a new model for poromechanical processes with inertia (formulated in mixed form using the solid deformation, fluid pressure, and total…
Virtual element methods for the three-field formulation of time-dependent linear poroelasticity
Raimund Bürger, Sarvesh Kumar, David Mora +2
A virtual element discretisation for the numerical approximation of the three-field formulation of linear poroelasticity introduced in [R. Oyarzúa and R. Ruiz-Baier, Locking-free f…
Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media
Nitesh Verma, Bryan Gomez-Vargas, Luis Miguel De Oliveira Vilaca +2
We analyse a PDE system modelling poromechanical processes (formulated in mixed form using the solid deformation, fluid pressure, and total pressure) interacting with diffusing and…