کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4964017 | 1447416 | 2017 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Isogeometric overlapping Schwarz preconditioners for the Bidomain reaction-diffusion system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
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چکیده انگلیسی
We present and study an overlapping additive Schwarz preconditioner for the isogeometric discretization of a reaction-diffusion system modeling the heart bioelectrical activity, known as the Bidomain model, consisting of a degenerate system of parabolic and elliptic PDE. This model includes intramural fiber rotation, anisotropic conductivity coefficients and is coupled through the reaction term with a system of ODEs, which models the ionic currents of the cellular membrane. The overlapping Schwarz preconditioner is applied with a PCG accelerator to solve the linear system arising at each time step from the isogeometric discretization in space and a semi-implicit adaptive method in time. A theoretical convergence rate analysis shows that the resulting solver is scalable, optimal in the ratio of subdomain/element size and the convergence rate improves with increasing overlap size. Numerical tests in three-dimensional ellipsoidal domains confirm the theoretical estimates and additionally show the robustness with respect to jump discontinuities of the orthotropic conductivity coefficients.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 319, 1 June 2017, Pages 472-490
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 319, 1 June 2017, Pages 472-490
نویسندگان
Lara Antonella Charawi,