کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631884 1340631 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The semidiscrete finite volume element method for nonlinear convection–diffusion problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The semidiscrete finite volume element method for nonlinear convection–diffusion problem
چکیده انگلیسی

In this work, a semidiscrete finite volume element method for the nonlinear convection–diffusion problem is considered. Under some regular assumptions, we obtain the L2 and H1 norm error estimates of numerical solution. Furthermore, we investigate two-grid finite volume element method for the considered equations. Compared with the standard method, the two-grid method is of the same order as the standard method in the H1-norm as long as the mesh sizes satisfy H=Oh13. However, the two-grid method involves much less work than the standard method. Finally, some numerical results are provided to verify the established theoretical analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 19, 1 June 2011, Pages 7546–7556
نویسندگان
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