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Finite element analysis of an eigenvalue problem arising from neutron transport
Nicolás A. Barnafi, Felipe Lepe, Francisca Muñoz Riquelme
In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue probl…
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…
Efficient reference configuration formulation in fully nonlinear poroelastic media
Nicolás A. Barnafi, Argyrios Petras, Luca Gerardo-Giorda
Typical pipelines for model geometry generation in computational biomedicine stem from images, which are usually considered to be at rest, despite the object being in mechanical eq…
Nitsche method for Navier-Stokes equations with slip boundary conditions: Convergence analysis and VMS-LES stabilization
Aparna Bansal, Nicolás Alejandro Barnafi, Dwijendra Narain Pandey
In this paper, we analyze the Nitsche's method for the stationary Navier-Stokes equations on Lipschitz domains under minimal regularity assumptions. Our analysis provides a robust…
Modeling of cardiac fibers as oriented liquid crystals
Nicolás A. Barnafi, Axel Osses
In this work we propose a mathematical model that describes the orientation of ventricular cardiac fibers. These fibers are commonly computed as the normalized gradient of certain…
A comparative study of scalable multilevel preconditioners for cardiac mechanics
Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi
In this work, we provide a performance comparison between the Balancing Domain Decomposition by Constraints (BDDC) and the Algebraic Multigrid (AMG) preconditioners for cardiac mec…