3 papers
math.NA2025
A Stable Loosely-Coupled Dirichlet-Neumann Scheme for Fluid-Structure Interaction with Large Added Mass
Francesca Renzi, Christian Vergara
Solving fluid-structure interaction (FSI) problems when the densities are similar (large added mass), such as in hemodynamics, is challenging since the stability and convergence of…
math.NA2024
Coupled Eikonal problems to model cardiac reentries in Purkinje network and myocardium
Samuele Brunati, Michele Bucelli, Roberto Piersanti +2
We propose a novel partitioned scheme based on Eikonal equations to model the coupled propagation of the electrical signal in the His-Purkinje system and in the myocardium for card…
math.NA2024
High-order Discontinuous Galerkin Methods for the Monodomain and Bidomain Models
Federica Botta, Matteo CalafÃ, Pasquale C. Africa +2
This work aims at presenting a Discontinuous Galerkin (DG) formulation employing a spectral basis for two important models employed in cardiac electrophysiology, namely the monodom…