16 citations · 58 across the 20 of their papers we have counts for
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Reconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling
N. A. Barnafi, F. Regazzoni, D. Riccobelli
Modeling the behavior of biological tissues and organs often necessitates the knowledge of their shape in the absence of external loads. However, when their geometry is acquired in…
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…