کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498684 863008 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A multilevel hybrid Newton–Krylov–Schwarz method for the Bidomain model of electrocardiology
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
A multilevel hybrid Newton–Krylov–Schwarz method for the Bidomain model of electrocardiology
چکیده انگلیسی

A multilevel hybrid Newton–Krylov–Schwarz (NKS) method is constructed and studied numerically for implicit time discretizations of the Bidomain reaction–diffusion system in three dimensions. This model describes the bioelectrical activity of the heart by coupling two degenerate parabolic equations with a stiff system of ordinary differential equations. The NKS Bidomain solver employs an outer inexact Newton iteration to solve the nonlinear finite element system originating at each time step of the implicit discretization. The Jacobian update during the Newton iteration is solved by a Krylov method employing a multilevel hybrid overlapping Schwarz preconditioner, additive within the levels and multiplicative among the levels. Several parallel tests on Linux clusters are performed, showing that the convergence of the method is independent of the number of subdomains (scalability), the discretization parameters and the number of levels (optimality).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 200, Issues 5–8, 15 January 2011, Pages 717–725
نویسندگان
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