کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645596 | 1342048 | 2011 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An optimal error estimate for upwind Finite Volume methods for nonlinear hyperbolic conservation laws
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An optimal error estimate for upwind Finite Volume methods for nonlinear hyperbolic conservation laws An optimal error estimate for upwind Finite Volume methods for nonlinear hyperbolic conservation laws](/preview/png/4645596.png)
چکیده انگلیسی
The purpose of this paper is to show that the cell-centered upwind Finite Volume scheme applied to general hyperbolic systems of m conservation laws approximates smooth solutions to the continuous problem at order one in space and time. As it is now well understood, there is a lack of consistency for order one upwind Finite Volume schemes: the truncation error does not tend to zero as the time step and the grid size tend to zero. Here, following our previous papers on scalar equations, we construct a corrector that allows us to prove the expected error estimate for nonlinear systems of equations in one dimension.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 61, Issue 11, November 2011, Pages 1114-1131
Journal: Applied Numerical Mathematics - Volume 61, Issue 11, November 2011, Pages 1114-1131