Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

A class of preconditioners based on balancing domain decomposition by constraints
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …

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 …

We introduce and study some scalable domain decomposition preconditioners for cardiac
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …

The numerical simulation of structural mechanics applications via finite elements usually
requires the solution of large-size linear systems, especially when accurate results are …

In this work, we provide a performance comparison between the Balancing Domain
Decomposition by Constraints (BDDC) and the Algebraic Multigrid (AMG) preconditioners …

In this work, we consider the numerical approximation of the electromechanical coupling in
the left ventricle with inclusion of the Purkinje network. The mathematical model couples the …

Two novel parallel Newton--Krylov balancing domain decomposition by constraints (BDDC)
and dual-primal finite element tearing and interconnecting (FETI-DP) solvers with deluxe …

In this work, we investigate the influence of cardiac tissue deformation on re-entrant wave
dynamics. We have developed a 3D strongly coupled electro-mechanical Bidomain model …