The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
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 …
has attracted remarkable interest from the mathematical community because of its intrinsic …
[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
PCBDDC: a class of robust dual-primal methods in PETSc
S Zampini - SIAM Journal on Scientific Computing, 2016 - SIAM
A class of preconditioners based on balancing domain decomposition by constraints
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …
methods is introduced in the Portable, Extensible Toolkit for Scientific Computation (PETSc) …
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity
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 …
quasi-Newton algorithms, more specifically the BFGS method, for the solution of the …
A numerical study of scalable cardiac electro-mechanical solvers on HPC architectures
We introduce and study some scalable domain decomposition preconditioners for cardiac
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …
A robust adaptive algebraic multigrid linear solver for structural mechanics
A Franceschini, VAP Magri, G Mazzucco… - Computer Methods in …, 2019 - Elsevier
The numerical simulation of structural mechanics applications via finite elements usually
requires the solution of large-size linear systems, especially when accurate results are …
requires the solution of large-size linear systems, especially when accurate results are …
A comparative study of scalable multilevel preconditioners for cardiac mechanics
In this work, we provide a performance comparison between the Balancing Domain
Decomposition by Constraints (BDDC) and the Algebraic Multigrid (AMG) preconditioners …
Decomposition by Constraints (BDDC) and the Algebraic Multigrid (AMG) preconditioners …
Numerical approximation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network
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 …
the left ventricle with inclusion of the Purkinje network. The mathematical model couples the …
Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations
Two novel parallel Newton--Krylov balancing domain decomposition by constraints (BDDC)
and dual-primal finite element tearing and interconnecting (FETI-DP) solvers with deluxe …
and dual-primal finite element tearing and interconnecting (FETI-DP) solvers with deluxe …
Effects of mechanical feedback on the stability of cardiac scroll waves: A bidomain electro-mechanical simulation study
P Colli Franzone, LF Pavarino… - Chaos: An Interdisciplinary …, 2017 - pubs.aip.org
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 …
dynamics. We have developed a 3D strongly coupled electro-mechanical Bidomain model …