Parallel nonlinear solvers, including inexact-Newton, quasi-Newton, and nonlinear GMRES, demonstrated strong scalability and robustness for the Bidomain model of cardiac electrophysiology.
Alternative nonlinear solvers for the Bidomain model demonstrate strong scalability and robustness, potentially offering better parallel efficiency than the standard Newton method in computational cardiac electrophysiology.
This investigation focuses on nonlinear solvers for the Bidomain model, a nonlinear system of parabolic reaction-diffusion equations describing the bioelectrical activity of the myocardium. Staggered fully implicit time discretizations of the Bidomain finite element semi-discrete problem lead to nonlinear algebraic systems to be solved at each time step. This work compares several nonlinear solvers, such as inexact-Newton, quasi-Newton and nonlinear Generalized Minimal Residual methods, for the solution of these nonlinear systems. Parallel experiments show strong scalability and robustness of the resulting solver with respect to the number of degrees of freedom of the discrete problem. These preliminary results pave the way for further studies of nonlinear solvers for cardiac electrophysiology models that can attain better parallel efficiency than the standard Newton method.
Barnafi et al. (Sat,) conducted a other in Cardiac electrophysiology (computational modeling). Nonlinear solvers (inexact-Newton, quasi-Newton, nonlinear GMRES) vs. Standard Newton method was evaluated on Scalability and robustness of solvers. Parallel nonlinear solvers, including inexact-Newton, quasi-Newton, and nonlinear GMRES, demonstrated strong scalability and robustness for the Bidomain model of cardiac electrophysiology.
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