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20152025
most citedConvergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model

18 citations · 91 across the 21 of their papers we have counts for

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Showing 2022Show all

7 papers · 1 filter

math.NA2022★ 6 cited

A parallel solver for fluid structure interaction problems with Lagrange multiplier

Daniele Boffi, Fabio Credali, Lucia Gastaldi +1

The aim of this work is to present a parallel solver for a formulation of fluid-structure interaction (FSI) problems which makes use of a distributed Lagrange multiplier in the spi…

math.NA2022★ 18 cited

Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model

Ngoc Mai Monica Huynh, Fatemeh Chegini, Luca Franco Pavarino +2

A Balancing Domain Decomposition by Constraints (BDDC) preconditioner is constructed and analyzed for the solution of composite Discontinuous Galerkin discretizations of reaction-d…

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★ 1 cited

BDDC preconditioners for divergence free virtual element discretizations of the Stokes equations

Tommaso Bevilacqua, Simone Scacchi

The Virtual Element Method (VEM) is a new family of numerical methods for the approximation of partial differential equations, where the geometry of the polytopal mesh elements can…