activity
20202026
most citedReconstructing relaxed configurations in elastic bodies: Mathematical formulations and numerical methods for cardiac modeling

16 citations · 58 across the 20 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.NA2022★ 5 cited

Coupling chemotaxis and growth poromechanics for the modelling of feather primordia patterning

Nicolás A. Barnafi, Luis Miguel De Oliveira Vilaca, Michel C. Milinkovitch +1

We propose a new mathematical model for the interaction of skin cell populations with fibroblast growth factor and bone morphogenetic protein, occurring within deformable porous me…

math.NA2022★ 3 cited

Robust parallel nonlinear solvers for implicit time discretizations of the Bidomain equations

Nicolás A. Barnafi, Ngoc Mai Monica Huynh, Luca F. Pavarino +1

In this work, we study the convergence and performance of nonlinear solvers for the Bidomain equations after decoupling the ordinary and partial differential equations of the cardi…

math.NA2022

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…

math.NA2022★ 7 cited

Parallel block preconditioners for virtual element discretizations of the time-dependent Maxwell equations

Nicolás A. Barnafi, Franco Dassi, Simone Scacchi

The focus of this study is the construction and numerical validation of parallel block preconditioners for low order virtual element discretizations of the three-dimensional Maxwel…

math.NA2022★ 15 cited

Parallel inexact Newton-Krylov and quasi-Newton solvers for nonlinear elasticity

Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi

In this work, we address the implementation and performance of inexact Newton-Krylov and quasi-Newton algorithms, more specifically the BFGS method, for the solution of the nonline…