6 papers
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…