کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1817010 1525272 2006 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fast micromagnetic simulations using an analytic mathematical model
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک ماده چگال
پیش نمایش صفحه اول مقاله
Fast micromagnetic simulations using an analytic mathematical model
چکیده انگلیسی

In this paper an analytic mathematical model is presented for fast micromagnetic simulations. In dynamic micromagnetic simulations the Landau–Lifshitz–Gilbert (LLG) equation is solved for the observation of the reversal magnetisation mechanisms. In stiff micromagnetic simulations the large system of ordinary differential equations has to be solved with an appropriate method, such as the Backward Differentiation Formulas (BDF) method, which leads to the solution of a large linear system. The latter is solved efficiently employing matrix-free techniques, such as Krylov methods with preconditioning. Within the Krylov methods framework a product of a matrix times a vector is involved which is usually approximated with directional differences. This paper provides an analytic mathematical model to calculate efficiently this product, leading to more accurate calculations and consequently faster micromagnetic simulations due to better convergence properties.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica B: Condensed Matter - Volume 372, Issues 1–2, 1 February 2006, Pages 303–307
نویسندگان
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