Isogeometric Overlapping Additive Schwarz Solvers for the Bidomain System

DOI10.1007/978-3-319-18827-0_11zbMath1339.92017OpenAlexW2481916627MaRDI QIDQ2814989

Lara Antonella Charawi

Publication date: 23 June 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18827-0_11

zbMATH Keywords

cardiac bidomain modelNURBS domainsoverlapping additive Schwarz preconditioner

Mathematics Subject Classification ID

Physiology (general) (92C30) Biological rhythms and synchronization (92B25)

Related Items

Isogeometric analysis of the electrophysiology in the human heart: numerical simulation of the bidomain equations on the atria

Uses Software

• GeoPDEs

Cites Work

• \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
• Overlapping Schwarz Methods for Isogeometric Analysis
• Parallel Multilevel Schwarz and Block Preconditioners for the Bidomain Parabolic-Parabolic and Parabolic-Elliptic Formulations
• Isogeometric Analysis
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System
• Multiscale computational modelling of the heart
• Multiscale Modeling for the Bioelectric Activity of the Heart

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