کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6420039 1631781 2016 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A two-grid method with backtracking technique for the stream function form of the Navier-Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A two-grid method with backtracking technique for the stream function form of the Navier-Stokes equations
چکیده انگلیسی

A two-grid method based on modified Newton's iteration with backtracking technique is proposed for the stream function formulation of the stationary Navier-Stokes equations. The convergence rate and error estimate of the algorithm are established. It's proven that the asymptotically optimal approximation can be achieved by solving two small systems on the coarse mesh and two similar linear problems (same stiffness matrix only with different right-hand side) on the fine mesh. Compared with the fine space, the coarse space can be extremely coarse both in theory and in numerical applications.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 274, 1 February 2016, Pages 649-660
نویسندگان
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