18 citations · 56 across the 11 of their papers we have counts for
12 papers
A Neural Latent Dynamics Approach for Solving Inverse Problems in Cardiac Electrophysiology
Edoardo Centofanti, Giovanni Ziarelli, Simone Scacchi +1
Solving inverse problems in cardiac electrophysiology consists in the recovery of physiological parameters from surface electrocardiogram (ECG) measurements, a task which is often…
Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators
Luca Pellegrini, Massimiliano Ghiotto, Edoardo Centofanti +1
Ionic models, described by systems of stiff ordinary differential equations, are fundamental tools for simulating the complex dynamics of excitable cells in both Computational Neur…
Learning cardiac activation and repolarization times with operator learning
Edoardo Centofanti, Giovanni Ziarelli, Nicola Parolini +3
Solving partial or ordinary differential equation models in cardiac electrophysiology is a computationally demanding task, particularly when high-resolution meshes are required to…
Block BDDC/FETI-DP Preconditioners for Three-Field mixed finite element Discretizations of Biot's consolidation model
Hanyu Chu, Luca Franco Pavarino, Stefano Zampini
In this paper, we construct and analyze a block dual-primal preconditioner for Biot's consolidation model approximated by three-field mixed finite elements based on a displacement,…
Parameter Robust Isogeometric Methods for a Four-Field Formulation of Biot's Consolidation Model
Hanyu Chu, Luca Franco Pavarino
In this paper, a novel isogeometric method for Biot's consolidation model is constructed and analyzed, using a four-field formulation where the unknown variables are the solid disp…
GDSW preconditioners for composite Discontinuous Galerkin discretizations of multicompartment reaction-diffusion problems
Ngoc Mai Monica Huynh, Luca Franco Pavarino, Simone Scacchi
The aim of the present work is to design, analyze theoretically, and test numerically, a generalized Dryja-Smith-Widlund (GDSW) preconditioner for composite Discontinuous Galerkin…
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…
Parallel Newton-Krylov-BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac Bidomain equations
Ngoc Mai Monica Huynh, Luca Franco Pavarino, Simone Scacchi
Two novel parallel Newton-Krylov Balancing Domain Decomposition by Constraints (BDDC) and Dual-Primal Finite Element Tearing and Interconnecting (FETI-DP) solvers are here construc…
Hybrid and Multiplicative Overlapping Schwarz Algorithms with Standard Coarse Spaces for Mixed Linear Elasticity and Stokes Problems
Mingchao Cai, Luca F. Pavarino
The goal of this work is to construct and study hybrid and multiplicative two-level overlapping Schwarz algorithms with standard coarse spaces for the almost incompressible linear…