Scalable Cardiac Electro-Mechanical Solvers and Reentry Dynamics

DOI10.1007/978-3-319-93873-8_3zbMath1442.65368OpenAlexW2907155190MaRDI QIDQ5114523

Luca F. Pavarino, Stefano Zampini, Piero Colli Franzone, Simone Scacchi

Publication date: 24 June 2020

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

Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_3

zbMATH Keywords

cardiac tissuebidomain modelKrylov methodheartbeatblock Jacobi preconditionercardiac electro-mechanical coupling modelelasticity modelmultilevel additive Schwarz preconditionernon-linear algebraic system

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical optimization and variational techniques (65K10) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Electromagnetic effects in solid mechanics (74F15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Parallel numerical computation (65Y05) Cell biology (92C37) Computational methods for problems pertaining to operations research and mathematical programming (90-08) PDEs in connection with mechanics of deformable solids (35Q74) Preconditioners for iterative methods (65F08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (5)

Parallel Newton--Krylov BDDC and FETI-DP Deluxe Solvers for Implicit Time discretizations of the Cardiac Bidomain Equations ⋮ Epicardial dispersion of repolarization promotes the onset of reentry in Brugada syndrome: a numerical simulation study ⋮ Apprehending the effects of mechanical deformations in cardiac electrophysiology: A homogenization approach ⋮ Scalable and robust dual-primal Newton-Krylov deluxe solvers for cardiac electrophysiology with biophysical ionic models ⋮ Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model

Uses Software

• PETSc

Cites Work

• Unnamed Item
• Mathematical cardiac electrophysiology
• Newton-Krylov-BDDC solvers for nonlinear cardiac mechanics
• Bioelectrical effects of mechanical feedbacks in a strongly coupled cardiac electro-mechanical model
• PCBDDC: A Class of Robust Dual-Primal Methods in PETSc
• Dual-primal FETI methods for linear elasticity
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Influence of myocardial fiber/sheet orientations on left ventricular mechanical contraction
• Multilevel Additive Schwarz Preconditioners for the Bidomain Reaction-Diffusion System
• BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions
• Convergence of a balancing domain decomposition by constraints and energy minimization
• DUAL-PRIMAL METHODS FOR THE CARDIAC BIDOMAIN MODEL
• Highly scalable parallel domain decomposition methods with an application to biomechanics

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