سه شنبه 11 اردیبهشت 1403
| عنوان مقاله | |
| عنوان مقاله |
On an optimal finite element scheme for the advection equation |
| عنوان فارسی مقاله | در یک المان محدود بهینه برای معادله پیوستگی |
| مشخصات مقاله انگلیسی | |
| نشریه: Elsevier |
|
| سال انتشار |
2017 |
| عنوان مجله |
JournalofComputationalandApplied Mathematics |
| تعداد صفحات مقاله انگلیسی | 7 |
| رفرنس | دارد |
| تعداد رفرنس | 13 |
| چکیده مقاله | |
| چکیده |
In this report it is presented a numerical finite element scheme for the advection equation that attains the optimal L2 convergence rate O(hk+1) when order k finite elements are used, improving the order O(hk+0.5) of other previous regularization methods. This result is also confirmed by the numerical test performed in the last section. The scheme assumes unstructured grids, periodic boundary conditions, a constant advection field and a bit (two units) stronger regularity on the exact solution than in the classical (suboptimal) finite element theory. |
| کلمات کلیدی |
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| دانلود | |
