48 citations · 361 across the 48 of their papers we have counts for
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A priori and a posteriori error bounds for the fully mixed FEM formulation of poroelasticity with stress-dependent permeability
Arbaz Khan, Bishnu P. Lamichhane, Ricardo Ruiz-Baier +1
We develop a family of mixed finite element methods for a model of nonlinear poroelasticity where, thanks to a rewriting of the constitutive equations, the permeability depends on…
A Lagrange Multiplier-based method for Stokes-linearized poro-hyperelastic interface problems
Aparna Bansal, Nicolás A. Barnafi, Dwijendra Narain Pandey +1
We propose a model for the coupling between free fluid and a linearized poro-hyperelastic body. In this model, the Brinkman equation is employed for fluid flow in the porous medium…
Numerical analysis of a porous natural convection system with vorticity and viscous dissipation
Russel Demos, Rashmi Dubey, Ricardo Ruiz-Baier +1
In this paper we propose and analyse a new formulation and pointwise divergence-free mixed finite element methods for the numerical approximation of Darcy--Brinkman equations in vo…
Semi and fully-discrete analysis of lowest-order nonstandard finite element methods for the biharmonic wave problem
Neela Nataraj, Ricardo Ruiz-Baier, Aamir Yousuf
This paper discusses lowest-order nonstandard finite element methods for space discretization and explicit and implicit schemes for time discretization of the biharmonic wave equat…
Robust virtual element methods for coupled stress-assisted diffusion problems
Rekha Khot, Andres E. Rubiano, Ricardo Ruiz-Baier
This paper aims first to perform robust continuous analysis of a mixed nonlinear formulation for stress-assisted diffusion of a solute that interacts with an elastic material, and…