کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640282 | 1341269 | 2010 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle](/preview/png/4640282.png)
چکیده انگلیسی
We construct symmetric polar WAMs (weakly admissible meshes) with low cardinality for least-squares polynomial approximation on the disk. These are then mapped to an arbitrary triangle. Numerical tests show that the growth of the least-squares projection uniform norm is much slower than the theoretical bound, and even slower than that of the Lebesgue constant of the best known interpolation points for the triangle. As opposed to good interpolation points, such meshes are straightforward to compute for any degree. The construction can be extended to polygons by triangulation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 3, 1 December 2010, Pages 660–668
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 3, 1 December 2010, Pages 660–668
نویسندگان
Len Bos, Alvise Sommariva, Marco Vianello,