A Two-Level Newton-Krylov-Schwarz Method for the Bidomain Model of Electrocardiology
作者： M. Munteanu , L. F. Pavarino , S. Scacchi
DOI: 10.1007/978-3-642-11795-4_73
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摘要: A two-level Newton–Krylov–Schwarz (NKS) solver is constructed and analyzed for implicit time discretizations of the Bidomain reaction-diffusion system. This multiscale system describes bioelectrical activity heart by coupling two degenerate parabolic equations with several ordinary differential at each point in space. The proposed NKS employs an outer inexact Newton iteration to solve nonlinear finite element originating step discretization. Jacobian update during solved a Krylov method employing overlapping Schwarz preconditioner. convergence rate estimate proved resulting preconditioned operator, showing that its condition number independent subdomains (scalability) bounded ratio characteristic size overlap size. theoretical result confirmed parallel simulations up more than 2,000 processors scaled standard speedup tests three dimensions.
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