3 papers
math.NA2024
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…
math.NA2024
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…
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…