18 citations · 56 across the 11 of their papers we have counts for
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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…
A numerical study of the spectral properties of Isogeometric collocation matrices for acoustic wave problems
Elena Zampieri, Luca Franco Pavarino
This paper focuses on the spectral properties of the mass and stiffness matrices for acoustic wave problems discretized with Isogeometric analysis (IGA) collocation methods in spac…
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…
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…