کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640371 | 1341273 | 2010 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Optimal error estimate and superconvergence of the DG method for first-order hyperbolic problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Optimal error estimate and superconvergence of the DG method for first-order hyperbolic problems Optimal error estimate and superconvergence of the DG method for first-order hyperbolic problems](/preview/png/4640371.png)
چکیده انگلیسی
We consider the original discontinuous Galerkin method for the first-order hyperbolic problems in dd-dimensional space. We show that, when the method uses polynomials of degree kk, the L2L2-error estimate is of order k+1k+1 provided the triangulation is made of rectangular elements satisfying certain conditions. Further, we show the O(h2k+1)O(h2k+1)-order superconvergence for the error on average on some suitably chosen subdomains (including the whole domain) and their outflow faces. Moreover, we also establish a derivative recovery formula for the approximation of the convection directional derivative which is superconvergent with order k+1k+1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 1, 1 November 2010, Pages 144–153
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 1, 1 November 2010, Pages 144–153
نویسندگان
Tie Zhang, Zheng Li,