A matrix–free high–order solver for the numerical solution of cardiac electrophysiology

A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation

(2022) F. Regazzoni et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A fast computational model for the electrophysiology of the whole human heart

(2022) Giulio Del Corso et al.   JOURNAL OF COMPUTATIONAL PHYSICS

3D–0D closed-loop model for the simulation of cardiac biventricular electromechanics

(2022) Roberto Piersanti et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

life: A flexible, high performance library for the numerical solution of complex finite element problems

(2022) Pasquale Claudio Africa   SoftwareX

A numerical study on the effects of spatial and temporal discretization in cardiac electrophysiology

(2021) Lucas A. Woodworth et al.   International Journal for Numerical Methods in Biomedical Engineering

Multipatch Isogeometric Analysis for electrophysiology: Simulation in a human heart

(2021) Michele Bucelli et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A Framework for the generation of digital twins of cardiac electrophysiology from clinical 12-leads ECGs

(2021) Karli Gillette et al.   MEDICAL IMAGE ANALYSIS

Electro-Mechanical Whole-Heart Digital Twins: A Fully Coupled Multi-Physics Approach

(2021) Tobias Gerach et al.   Mathematics

The Purkinje network plays a major role in low-energy ventricular defibrillation

(2021) Jason D. Bayer et al.   COMPUTERS IN BIOLOGY AND MEDICINE

Using long vector extensions for MPI reductions

(2021) Dong Zhong et al.   PARALLEL COMPUTING

A Computational Comparison Between Isogeometric Analysis and Spectral Element Methods: Accuracy and Spectral Properties

(2020) Paola Gervasio et al.   JOURNAL OF SCIENTIFIC COMPUTING

Hybrid multigrid methods for high-order discontinuous Galerkin discretizations

(2020) Niklas Fehn et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The deal.II Library, Version 9.2

(2020) Daniel Arndt et al.   Journal of Numerical Mathematics

A publicly available virtual cohort of four-chamber heart meshes for cardiac electro-mechanics simulations

(2020) Marina Strocchi et al.   PLoS One

A Flexible, Parallel, Adaptive Geometric Multigrid Method for FEM

(2020) Thomas C. Clevenger et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations

(2020) Roberto Piersanti et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Pacing in proximity to scar during cardiac resynchronization therapy increases local dispersion of repolarization and susceptibility to ventricular arrhythmogenesis.

(2019) Caroline Mendonca Costa et al.   HEART RHYTHM

Scalability analysis of AVX-512 extensions

(2019) Juan M. Cebrian et al.   JOURNAL OF SUPERCOMPUTING

Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators

(2019) Martin Kronbichler et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations

(2019) Peter Bastian et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An adaptive hybridizable discontinuous Galerkin approach for cardiac electrophysiology

(2018) Julia M. Hoermann et al.   International Journal for Numerical Methods in Biomedical Engineering

Patient-Specific Cardiovascular Computational Modeling: Diversity of Personalization and Challenges

(2018) Richard A. Gray et al.   Journal of Cardiovascular Translational Research

A matrix-free high-order discontinuous Galerkin compressible Navier-Stokes solver:A performance comparison of compressible and incompressible formulations for turbulent incompressible flows

(2018) Niklas Fehn et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Algebraic multigrid methods

(2017) Jinchao Xu et al.   ACTA NUMERICA

Arrhythmia risk stratification of patients after myocardial infarction using personalized heart models

(2016) Hermenegild J. Arevalo et al.   Nature Communications

Parallel Optimization of 3D Cardiac Electrophysiological Model Using GPU

(2015) Yong Xia et al.   Computational and Mathematical Methods in Medicine

Comparison of multigrid algorithms for high-order continuous finite element discretizations

(2015) Hari Sundar et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS

High-order finite element methods for cardiac monodomain simulations

(2015) Kevin P. Vincent et al.   Frontiers in Physiology

Patient-specific modelling of cardiac electrophysiology in heart-failure patients

(2014) M. Potse et al.   EUROPACE

High-order spectral/hp element discretisation for reaction–diffusion problems on surfaces: Application to cardiac electrophysiology

(2013) Chris D. Cantwell et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A generic interface for parallel cell-based finite element operator application

(2012) Martin Kronbichler et al.   COMPUTERS & FLUIDS

Adaptive Multilevel Methods with Local Smoothing for $H^1$- and $H^{\mathrm{curl}}$-Conforming High Order Finite Element Methods

(2012) Bärbel Janssen et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Whole-Heart Modeling

(2011) Natalia A. Trayanova   CIRCULATION RESEARCH

Verification of cardiac tissue electrophysiology simulators using an N-version benchmark

(2011) S. A. Niederer et al.   PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements

(2010) C.D. Cantwell et al.   COMPUTERS & FLUIDS