[HTML][HTML] 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) …
[HTML][HTML] A comparison of Algebraic Multigrid Bidomain solvers on hybrid CPU–GPU architectures
E Centofanti, S Scacchi - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The numerical simulation of cardiac electrophysiology is a highly challenging problem in
scientific computing. The Bidomain system is the most complete mathematical model of …
scientific computing. The Bidomain system is the most complete mathematical model of …
Dual-primal methods for the cardiac bidomain model
S Zampini - Mathematical Models and Methods in Applied …, 2014 - World Scientific
The cardiac Bidomain model consists in a reaction–diffusion system of partial differential
equations which is often discretized by low-order finite elements in space and implicit …
equations which is often discretized by low-order finite elements in space and implicit …
Parallel multilevel solvers for the cardiac electro-mechanical coupling
We develop a parallel solver for the cardiac electro-mechanical coupling. The electric model
consists of two non-linear parabolic partial differential equations (PDEs), the so-called …
consists of two non-linear parabolic partial differential equations (PDEs), the so-called …
Newton–Krylov-BDDC solvers for nonlinear cardiac mechanics
The aim of this work is to design and study a Balancing Domain Decomposition by
Constraints (BDDC) solver for the nonlinear elasticity system modeling the mechanical …
Constraints (BDDC) solver for the nonlinear elasticity system modeling the mechanical …
Isogeometric overlapping Schwarz preconditioners for the bidomain reaction–diffusion system
LA Charawi - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
We present and study an overlapping additive Schwarz preconditioner for the isogeometric
discretization of a reaction–diffusion system modeling the heart bioelectrical activity, known …
discretization of a reaction–diffusion system modeling the heart bioelectrical activity, known …
Inexact BDDC methods for the cardiac bidomain model
S Zampini - Domain decomposition methods in science and …, 2014 - Springer
The cardiac Bidomain model is a reaction-diffusion system of PDEs which space–time
discretization results in very ill-conditioned linear systems. This paper extends a recent work …
discretization results in very ill-conditioned linear systems. This paper extends a recent work …
Preconditioning of domain decomposition methods for stochastic elliptic equations
JF Dos Reis - 2021 - theses.hal.science
This thesis presents a new numerical method to efficiently generate samples of the solution
of stochastic elliptical equations with random coefficients. Particular emphasis is placed on …
of stochastic elliptical equations with random coefficients. Particular emphasis is placed on …
A space–time finite element method for the linear bidomain equations
O Steinbach, H Yang - … Finite Element Methods with Applications: Selected …, 2019 - Springer
In this work, we study a Galerkin–Petrov space–time finite element method for a linear
system of parabolic–elliptic equations with in general anisotropic conductivity matrices …
system of parabolic–elliptic equations with in general anisotropic conductivity matrices …
Basic Cardiac Anatomy and Electrocardiology
In this chapter, we briefly review the basic physiology and anatomy of the heart; a more
complete treatment with many more details can be found in standard textbooks such as [189 …
complete treatment with many more details can be found in standard textbooks such as [189 …