Evaluating computational efforts and physiological resolution of mathematical models of cardiac tissue

KH Jæger, JD Trotter, X Cai, H Arevalo, A Tveito - Scientific Reports, 2024 - nature.com
Computational techniques have significantly advanced our understanding of cardiac
electrophysiology, yet they have predominantly concentrated on averaged models that do …

Scalable approximation and solvers for ionic electrodiffusion in cellular geometries

P Benedusi, AJ Ellingsrud, H Herlyng… - SIAM Journal on Scientific …, 2024 - SIAM
The activity and dynamics of excitable cells are fundamentally regulated and moderated by
extracellular and intracellular ion concentrations and their electric potentials. The increasing …

[HTML][HTML] GDSW preconditioners for composite Discontinuous Galerkin discretizations of multicompartment reaction–diffusion problems

NMM Huynh, LF Pavarino, S Scacchi - Computer Methods in Applied …, 2025 - Elsevier
The aim of the present work is to design, analyze theoretically, and test numerically, a
generalized Dryja–Smith–Widlund (GDSW) preconditioner for composite Discontinuous …

A splitting, discontinuous Galerkin solver for the cell-by-cell electroneutral Nernst-Planck framework

AJ Ellingsrud, P Benedusi, M Kuchta - ar** efficient solvers employing high-performance computing (HPC) resources or
innovative machine learning techniques is crucial in Computational Cardiology, a field …