کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641955 1632054 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A two-grid method based on Newton iteration for the Navier–Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A two-grid method based on Newton iteration for the Navier–Stokes equations
چکیده انگلیسی

In this paper, we consider a two-grid method for resolving the nonlinearity in finite element approximations of the equilibrium Navier–Stokes equations. We prove the convergence rate of the approximation obtained by this method. The two-grid method involves solving one small, nonlinear coarse mesh system and two linear problems on the fine mesh which have the same stiffness matrix with only different right-hand side. The algorithm we study produces an approximate solution with the optimal asymptotic in h and accuracy for any Reynolds number. Numerical example is given to show the convergence of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 220, Issues 1–2, 15 October 2008, Pages 566–573
نویسندگان
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