286 citations · 369 across the 23 of their papers we have counts for
28 papers
Stream function -- pressure virtual element methods for the Stokes--Darcy interface problem
Franco Dassi, Rekha Khot, David Mora +2
This paper introduces a novel Virtual Element Method (VEM) for the coupled Stokes--Darcy system in primal-primal form. In the free-flow Stokes domain, we implement a stream functio…
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…
Virtual element methods for Biot-Kirchhoff poroelasticity
Rekha Khot, David Mora, Ricardo Ruiz-Baier
This paper analyses conforming and nonconforming virtual element formulations of arbitrary polynomial degrees on general polygonal meshes for the coupling of solid and fluid phases…
A finite element model for concentration polarization and osmotic effects in a membrane channel
Nicolás Carro, David Mora, Jesus Vellojin
In this paper we study a mathematical model that represents the concentration polarization and osmosis effects in a reverse osmosis cross-flow channel with porous membranes at some…
Discontinuous Galerkin methods for the acoustic vibration problem
Felipe Lepe, David Mora, Jesus Vellojin
In two and three dimension we analyze discontinuous Galerkin methods for the acoustic problem. The acoustic fluid that we consider on this paper is inviscid, leading to a linear ei…
The Morley-type virtual element method for the Navier-Stokes equations in stream-function form on general meshes
D. Adak, D. Mora, A. Silgado
The nonconforming Morley-type virtual element method for the incompressible Navier-Stokes equations formulated in terms of the stream-function on simply connected polygonal domains…
A virtual element method on polyhedral meshes for the sixth-order elliptic problem
Franco Dassi, David Mora, Carlos Reales +1
In this work we analyze a virtual element method on polyhedral meshes for solving the sixth-order elliptic problem with simply supported boundary conditions. We apply the Ciarlet-R…
Convergence Analysis of Virtual Element Method for Nonlinear Nonlocal Dynamic Plate Equation
D. Adak, D. Mora, S. Natarajan
In this article, we have considered a nonlinear nonlocal time dependent fourth order equation demonstrating the deformation of a thin and narrow rectangular plate. We propose …
Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling
VerÓnica Anaya, Arbaz Khan, David Mora +1
We develop the \textit{a posteriori} error analysis of three mixed finite element formulations for rotation-based equations in elasticity, poroelasticity, and interfacial elasticit…
Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure
Veronica Anaya, David Mora, Amiya K. Pani +1
A variational formulation is introduced for the Oseen equations written in terms of vor\-ti\-city and Bernoulli pressure. The velocity is fully decoupled using the momentum balance…
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
Veronica Anaya, Ruben Caraballo, Bryan Gomez-Vargas +2
We propose and analyse an augmented mixed finite element method for the Oseen equations written in terms of velocity, vorticity, and pressure with non-constant viscosity and homoge…
A virtual element method for the Steklov eigenvalue problem allowing small edges
Felipe Lepe, David Mora, Gonzalo Rivera +1
The aim of this paper is to analyze the influence of small edges in the computation of the spectrum of the Steklov eigenvalue problem by a lowest order virtual element method. Unde…
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…
Incorporating variable viscosity in vorticity-based formulations for Brinkman equations
Verónica Anaya, Bryan Gómez-Vargas, David Mora +1
In this brief note, we introduce a non-symmetric mixed finite element formulation for Brinkman equations written in terms of velocity, vorticity and pressure with non-constant visc…
Virtual Element for the Buckling Problem of Kirchhoff-Love plates
David Mora, Iván Velásquez
In this paper, we develop a virtual element method (VEM) of high order to solve the fourth order plate buckling eigenvalue problem on polygonal meshes. We write a variational formu…
The Stokes complex for Virtual Elements with application to Navier--Stokes flows
L. Beirão da Veiga, D. Mora, G. Vacca
In the present paper, we investigate the underlying Stokes complex structure of the Virtual Element Method for Stokes and Navier--Stokes introduced in previous papers by the same a…
Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations
Veronica Anaya, Afaf Bouharguane, David Mora +4
We introduce a family of mixed methods and discontinuous Galerkin discretisations designed to numerically solve the Oseen equations written in terms of velocity, vorticity, and Ber…
A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
Verónica Anaya, Mostafa Bendahmane, David Mora +1
We present a Virtual Element Method (VEM) for a nonlocal reaction-diffusion system of the cardiac electric field. To this system, we analyze an -conforming discretization b…
A Virtual Element Method for the Transmission Eigenvalue Problem
David Mora, Iván Velásquez
In this paper, we analyze a virtual element method (VEM) for solving a non-selfadjoint fourth-order eigenvalue problem derived from the transmission eigenvalue problem. We write a…
Mixed discontinuous Galerkin approximation of the elasticity eigenproblem
Felipe Lepe, Salim Meddahi, David Mora +1
We introduce a discontinuous Galerkin method for the mixed formulation of the elasticity eigenproblem with reduced symmetry. The analysis of the resulting discrete eigenproblem doe…
A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations
David Mora, Gonzalo Rivera
We present a priori and a posteriori error analysis of a Virtual Element Method (VEM) to approximate the vibration frequencies and modes of an elastic solid. We analyze a variation…
Virtual Elements for a shear-deflection formulation of Reissner-Mindlin plates
Lourenço Beirão da Veiga, David Mora, Gonzalo Rivera
We present a virtual element method for the Reissner-Mindlin plate bending problem which uses shear strain and deflection as discrete variables without the need of any reduction op…
A virtual element method for the vibration problem of Kirchhoff plates
David Mora, Gonzalo Rivera, Iván Velásquez
The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only…
Acoustic vibration problem for dissipative fluids
Felipe Lepe, Salim Meddahi, David Mora +1
In this paper we analyze a finite element method for solving a quadratic eigenvalue problem derived from the acoustic vibration problem for a heterogeneous dissipative fluid. The p…